{"id":13354,"date":"2025-05-01T07:38:12","date_gmt":"2025-05-01T07:38:12","guid":{"rendered":"https:\/\/www.hnjournal.net\/?page_id=13354"},"modified":"2025-05-01T07:38:14","modified_gmt":"2025-05-01T07:38:14","slug":"6-5-36","status":"publish","type":"page","link":"https:\/\/www.hnjournal.net\/en\/6-5-36\/","title":{"rendered":""},"content":{"rendered":"<div class=\"journal-article\" style=\"margin-bottom: 20px;\"><h3 style='text-align: right; font-family:Simplified Arabic;'>\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a<\/h3><p style='text-align:right; font-weight:bold; direction:rtl;'>\u062f. \u0639\u0628\u0627\u0633 \u0639\u0628\u062f\u0627\u0644\u0639\u0632\u064a\u0632 \u062c\u0645\u0639\u0629 \u0645\u062d\u0645\u0648\u062f<sup>1<\/sup><\/p><div style='direction:rtl; text-align:right; font-size:12px; line-height:1.5;'><p><sup>1<\/sup> \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0632\u0639\u064a\u0645 \u0627\u0644\u0627\u0632\u0647\u0631\u064a -\u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u060c \u0627\u0644\u0633\u0648\u062f\u0627\u0646<\/p><\/div><h4 style='text-align:left; direction:ltr; unicode-bidi:embed; font-family:Times New Roman;'>Using Linear Programming in Industrial Field<\/h4><p style='text-align:left; font-weight:bold; direction:ltr; margin-top:12px;'>Dr. Abbas Abdelaziz Jumaa Mahmoud<sup>1<\/sup><\/p><div style='direction:ltr; text-align:left; font-size:12px; line-height:1.7; margin-bottom:10px;'><p style='margin:0 0 8px 0;'><sup>1<\/sup> Department of Mathematics, Al-Zaeem Al-Azhari University, Sudan.<\/p><\/div><p style='text-align:left;'><strong>DOI:<\/strong> <a href='https:\/\/doi.org\/https:\/\/doi.org\/10.53796\/hnsj65\/36' target='_blank' rel='noopener'>https:\/\/doi.org\/10.53796\/hnsj65\/36<\/a><\/p><p style='text-align: right;'><strong>\u0627\u0644\u0645\u0639\u0631\u0641 \u0627\u0644\u0639\u0644\u0645\u064a \u0627\u0644\u0639\u0631\u0628\u064a \u0644\u0644\u0623\u0628\u062d\u0627\u062b:<\/strong> <a href='https:\/\/arsri.org\/10000\/65\/36' target='_blank' rel='noopener'>https:\/\/arsri.org\/10000\/65\/36<\/a><\/p><p style='text-align: right;'><strong>\u0627\u0644\u0645\u062c\u0644\u062f (6) \u0627\u0644\u0639\u062f\u062f (5). \u0627\u0644\u0635\u0641\u062d\u0627\u062a:<\/strong> 533 - 542<\/p><p style='text-align: right;'><strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u0633\u062a\u0642\u0628\u0627\u0644:<\/strong> 2025-04-07 | <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0642\u0628\u0648\u0644:<\/strong> 2025-04-15 | <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0646\u0634\u0631:<\/strong> 2025-05-01<\/p><p><a href='\/volume6\/issue5\/6-5-36.pdf' target='_blank' rel='noopener' style='background-color:green;color:white;padding:10px 15px;text-decoration:none;border-radius:5px;'>Download PDF<\/a><\/p>\r\n<style>\r\n.hnsj-cite-btn{\r\n  display:inline-flex; 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A. J. (2025). Using Linear Programming in Industrial Field. Humanities &amp; Natural Sciences Journal, 6(5). https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;Chicago&quot;:&quot;Mahmoud Abbas Abdulaziz Jumaa. 2025. \\&quot;Using Linear Programming in Industrial Field.\\&quot; Humanities &amp; Natural Sciences Journal 6, no. 5. https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;Harvard&quot;:&quot;Mahmoud A. A. J. 2025. Using Linear Programming in Industrial Field. Humanities &amp; Natural Sciences Journal. [Internet] 2025-05-01. [Cited 2026-05-15]. 6(5). Available at: https:\\\/\\\/www.hnjournal.net\\\/ar\\\/6-5-36\\\/. https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;Vancouver&quot;:&quot;Mahmoud A. A. J. Using Linear Programming in Industrial Field. Humanities &amp; Natural Sciences Journal. [Internet]. 2025-05-01; 6(5). Available from: https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;IEEE&quot;:&quot;Mahmoud A. A. J, \\&quot;Using Linear Programming in Industrial Field,\\&quot; Humanities &amp; Natural Sciences Journal, vol. 6, no. 5, 2025. https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;MLA&quot;:&quot;Mahmoud Abbas Abdulaziz Jumaa. \\&quot;Using Linear Programming in Industrial Field.\\&quot; Humanities &amp; Natural Sciences Journal, vol. 6, no. 5, 2025-05-01, https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;}' data-cit-ar='{&quot;APA&quot;:&quot;\u0645\u062d\u0645\u0648\u062f \u0639. \u0639. \u062c. (2025). \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a. \u0645\u062c\u0644\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u0646\u0633\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c 6(5). https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;Chicago&quot;:&quot;\u0645\u062d\u0645\u0648\u062f \u0639\u0628\u0627\u0633 \u0639\u0628\u062f\u0627\u0644\u0639\u0632\u064a\u0632 \u062c\u0645\u0639\u0629. 2025. \u00ab\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u00bb. \u0645\u062c\u0644\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u0646\u0633\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c 6(5). https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;Harvard&quot;:&quot;\u0645\u062d\u0645\u0648\u062f \u0639. \u0639. \u062c. \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a. \u0645\u062c\u0644\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u0646\u0633\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. [\u0627\u0646\u062a\u0631\u0646\u062a] 2025-05-01. [\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0648\u0635\u0648\u0644 2026-05-15]. 6(5). \u0645\u062a\u0627\u062d \u0639\u0644\u0649: https:\\\/\\\/www.hnjournal.net\\\/ar\\\/6-5-36\\\/. https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;Vancouver&quot;:&quot;\u0645\u062d\u0645\u0648\u062f \u0639. \u0639. \u062c. \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a. \u0645\u062c\u0644\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u0646\u0633\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. [\u0627\u0646\u062a\u0631\u0646\u062a]. 2025-05-01\u061b 6(5). \u0645\u062a\u0627\u062d \u0645\u0646: https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;IEEE&quot;:&quot;\u0645\u062d\u0645\u0648\u062f \u0639. \u0639. \u062c. \u00ab\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u00bb. \u0645\u062c\u0644\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u0646\u0633\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0645 6\u060c \u0639 5\u060c 2025. https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;,&quot;MLA&quot;:&quot;\u0645\u062d\u0645\u0648\u062f \u0639\u0628\u0627\u0633 \u0639\u0628\u062f\u0627\u0644\u0639\u0632\u064a\u0632 \u062c\u0645\u0639\u0629. \u00ab\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u00bb. \u0645\u062c\u0644\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0627\u0646\u0633\u0627\u0646\u064a\u0629 \u0648\u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0645 6\u060c \u0639 5\u060c 2025-05-01\u060c https:\\\/\\\/doi.org\\\/10.53796\\\/hnsj65\\\/36&quot;}'>\r\n    <div class='hnsj-modal-header'>\r\n    <div class='hnsj-modal-title'>Cite \/ \u0627\u0644\u0627\u0633\u062a\u0634\u0647\u0627\u062f<\/div>\r\n    <button class='hnsj-modal-close' type='button' data-hnsj-close aria-label='Close'>\u00d7<\/button>\r\n    <\/div>\r\n\r\n    <div class='hnsj-tabs'>\r\n      <button type='button' class='hnsj-tab active' data-lang='en'>English (Roman)<\/button>\r\n      <button type='button' class='hnsj-tab' data-lang='ar'>\u0627\u0644\u0639\u0631\u0628\u064a\u0629<\/button>\r\n    <\/div>\r\n\r\n    <div class='hnsj-modal-body'>\r\n      <div class='hnsj-row'>\r\n        <button type='button' class='hnsj-copy' data-hnsj-copy>Copy<\/button>\r\n        <select class='hnsj-select' data-hnsj-style><\/select>\r\n        <\/div>\r\n\r\n      <textarea class='hnsj-textarea' data-hnsj-box readonly><\/textarea>\r\n\r\n      <div class='hnsj-actions'>\r\n        <div style='display:flex; gap:10px; flex-wrap:wrap;'>\r\n          <button type='button' class='hnsj-dl' data-hnsj-dl='ris'>Download RIS<\/button>\r\n          <button type='button' class='hnsj-dl' data-hnsj-dl='bib'>Download BibTeX<\/button>\r\n        <\/div>\r\n      <\/div>\r\n    <\/div>\r\n  <\/div>\r\n<\/div>\r\n<p style='text-align:justify; direction:rtl;'><strong>\u0627\u0644\u0645\u0633\u062a\u062e\u0644\u0635: <\/strong> \u0645\u0646 \u062e\u0644\u0627\u0644 \u062f\u0631\u0627\u0633\u062a\u0646\u0627 \u062a\u0645 \u0628\u0646\u0627\u0621 \u0646\u0645\u0648\u0630\u062c \u0628\u0631\u0645\u062c\u0629 \u062e\u0637\u064a\u0629 \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0623\u0641\u0636\u0644 \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0644\u0627\u062d\u062f \u0627\u0644\u0645\u0635\u0627\u0646\u0639 \u0644\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u063a\u0630\u0627\u0626\u064a\u0629 \u0628\u0627\u0644\u0633\u0648\u062f\u0627\u0646 \u0644\u062a\u062d\u0642\u064a\u0642 \u0627\u0639\u0644\u064a \u0639\u0627\u0626\u062f \u0631\u0628\u062d\u064a \u062d\u064a\u062b \u062a\u0645 \u062a\u0643\u0648\u064a\u0646 \u0646\u0645\u0648\u0630\u062c \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u064a \u0639\u062f\u062f \u0643\u0628\u064a\u0631 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u0627\u0644\u0645\u062c\u0627\u0647\u064a\u0644 \u0648\u0641\u0642\u0627 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062a\u064a \u062c\u0645\u0639\u0647\u0627 \u0645\u0645\u0627 \u064a\u0639\u0643\u0633 \u0630\u0644\u0643 \u0627\u0647\u0645\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631 \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 \u0627\u0644\u0639\u0645\u0644\u064a \u0648\u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a.<\/p><p style='text-align:right;'><strong>\u0627\u0644\u0643\u0644\u0645\u0627\u062a \u0627\u0644\u0645\u0641\u062a\u0627\u062d\u064a\u0629: <\/strong> \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629\u060c \u0646\u0645\u0648\u0630\u062c \u0628\u0631\u0645\u062c\u0629 \u062e\u0637\u064a\u0629\u060c \u0627\u0644\u0642\u064a\u0648\u062f\u060c \u0634\u0631\u0648\u0637 \u0639\u062f\u0645 \u0627\u0644\u0633\u0644\u0628\u064a\u0629.<\/p><p style='text-align:justify; direction:ltr;'><strong>Abstract: <\/strong> Through our study, a linear programming model was built to predict the best products for a food factory in Sudan to achieve the highest profit return. A model was created containing a large number of equations and variables according to the data collected, which reflects the importance of using linear programming models in decision-making in practical reality and in the industrial field.<\/p><p style='direction:ltr; text-align:left;'><strong>Keywords: <\/strong> Linear programming, linear programming model, constraints, non-negativity conditions.<\/p><\/div>\n\n\n<p style=\"text-align: justify;\"><strong>\u0645\u0642\u062f\u0645\u0629 :Introduction <\/strong><\/p>\n<p style=\"text-align: justify;\">\u062a\u0639\u062a\u0628\u0631 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0636\u0645\u0646\u0647\u0627 \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a \u062d\u064a\u062b \u0631\u0643\u0632\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0639\u0644\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a \u0648\u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646\u0647\u0627 \u0641\u064a \u062a\u0639\u0638\u064a\u0645 \u0627\u0631\u0628\u0627\u062d \u0627\u0644\u0645\u0648\u0633\u0633\u0627\u062a \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u0629 \u0648\u0630\u0644\u0643 \u0644\u062a\u062d\u0642\u064a\u0642 \u0627\u0644\u0627\u0631\u0628\u0627\u062d \u0627\u0648 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u062a\u0643\u0644\u0641\u0629<\/p>\n<p style=\"text-align: justify;\"><strong> \u0627\u0647\u062f\u0627\u0641 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 :Study Objectives<\/strong><\/p>\n<p style=\"text-align: justify;\">\u064a\u0647\u062f\u0641 \u0627\u0644\u0628\u062d\u062b \u0625\u0644\u064a \u0623\u0647\u0645\u064a\u0629 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u0625\u062f\u0627\u0631\u064a\u0629 \u0627\u0644\u0633\u0644\u0645\u064a\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u0645\u0648\u0633\u0633\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0627 \u0633\u064a\u0645\u0627 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a \u0648\u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646\u0647\u0627 \u0641\u064a \u0627\u062a\u062e\u0627\u0630 \u0627\u0644\u0642\u0631\u0627\u0631\u0627\u062a \u0627\u0644\u0633\u0644\u064a\u0645\u0629<\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0639\u0645\u0644\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u064a \u062a\u062d\u0648\u064a\u0644 \u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0627\u0642\u0639\u064a\u0629 \u0645\u0627\u062e\u0648\u0630\u0629 \u0645\u0646 \u0645\u0635\u0646\u0639 \u0644\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u063a\u0630\u0627\u0626\u064a\u0629 \u0648\u062a\u062d\u0648\u064a\u0644\u0647\u0627 \u0627\u0644\u064a \u0646\u0645\u0648\u0630\u062c \u0628\u0631\u0645\u062c\u0629 \u062e\u0637\u064a\u0629 \u0648\u062d\u0644\u0647 \u0648 \u0630\u0644\u0643 \u0644\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646\u0647 \u0641\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u0642\u0642 \u0627\u0642\u0635\u064a \u0631\u0628\u062d \u0644\u0644\u0645\u0635\u0646\u0639 \u0648\u0644\u0627 \u064a\u062a\u0627\u062a\u064a \u0630\u0644\u0643 \u0627\u0644\u0627 \u0628\u0639\u062f \u062a\u0635\u0645\u064a\u0645 \u0646\u0645\u0648\u0630\u062c \u062f\u0642\u064a\u0642 \u064a\u0639\u0628\u0631 \u0639\u0646 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u0635\u0648\u0624\u0631\u0629 \u062f\u0642\u064a\u0642\u0629<\/p>\n<p style=\"text-align: justify;\"><strong>\u062e\u0637\u0648\u0627\u062a \u0628\u0646\u0627\u0621 \u0627\u0644\u0646\u0645\u0648\u0630\u062c: Building model steps<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>1. \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0645\u0642\u062a\u0631\u062d <\/strong><\/p>\n<p style=\"text-align: justify;\">\u0633\u0646\u0642\u0648\u0645 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0641\u0635\u0644 \u0628\u062a\u0643\u0648\u064a\u0646 \u0646\u0645\u0648\u0630\u062c \u0628\u0631\u0645\u062c\u0629 \u062e\u0637\u064a\u0629 \u0644\u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643 \u0644\u0644\u0645\u0634\u0631\u0648\u0628\u0627\u062a \u0627\u0644\u063a\u0630\u0627\u0626\u064a\u0629 \u0648\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u0627\u0644\u0643\u062a\u0631\u0648\u0646\u064a\u0629 \u0641\u064a \u062d\u0644 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0648\u0630\u0644\u0643 \u0644\u062a\u062d\u0642\u064a\u0642 \u0627\u0639\u0644\u064a \u0627\u0644\u0625\u0631\u0628\u0627\u062d \u0641\u064a \u063a\u064a\u0627\u0628 \u0627\u0644\u0645\u0646\u0647\u062c\u064a\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0648\u0639\u062f\u0645 \u062a\u0628\u0646\u064a \u0623\u0633\u0644\u0648\u0628 \u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0646 \u0642\u0628\u0644 \u0623\u062f\u0627\u0631\u0647 \u0627\u0644\u0634\u0631\u0643\u0629 \u0644\u062a\u062e\u0635\u064a\u0635 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062a\u064a \u062a\u0639\u0638\u0645 \u0627\u0644\u0625\u0631\u0628\u0627\u062d \u0627\u0644\u0633\u0646\u0648\u064a\u0629 \u0644\u0630\u0644\u0643 \u0648\u0636\u0639\u0646\u0627 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0641\u064a \u0635\u0648\u0631\u0647 \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0628\u0646\u0627\u0621 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0645\u062a\u062d\u0635\u0644 \u0639\u0644\u064a\u0647\u0627 \u0645\u0646 \u0623\u062f\u0627\u0631\u0647 \u0627\u0644\u0634\u0631\u0643\u0629 \u0648\u0630\u0644\u0643 \u0628\u0645\u062d\u0627\u0648\u0644\u0647 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 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\u0644\u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a.<\/p>\n<p style=\"text-align: justify;\">\u0648\u0628\u0646\u0627\u0621 \u0639\u0644\u064a \u062a\u0642\u0633\u064a\u0645\u0627\u062a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u0644\u0644\u0645\u0635\u0646\u0639 \u0641\u064a \u0623\u0646\u062a\u0627\u062c \u0643\u0644 \u0645\u0646 \u0633\u0641\u0646 \u0623\u0628 \u0648\u0627\u0644\u0628\u064a\u0628\u0633\u064a \u0648\u0627\u0644\u0645\u064a\u0631\u0646\u062f\u0627 \u0628\u0631\u062a\u0642\u0627\u0644 \u0648\u0627\u0644\u0645\u064a\u0631\u0646\u062f\u0627 \u062a\u0641\u0627\u062d \u0648\u0627\u0644\u0641\u0631\u0627\u0648\u0644\u0629 \u0644\u0627\u0628\u062f \u0645\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0641\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0639\u0646\u0627\u0635\u0631 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u062a\u0643\u0648\u064a\u0646 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0648\u0630\u0644\u0643 \u0648\u0641\u0642\u0627 \u0644\u0644\u0627\u062a\u064a<\/p>\n<p style=\"text-align: justify;\">2. \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a :<\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0627\u0646 \u0627\u0644\u0645\u0637\u0644\u0648\u0628 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0643\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u062c\u0628 \u0625\u0646\u062a\u0627\u062c\u0647\u0627 \u0645\u0646 \u0643\u0644 \u0646\u0648\u0639 \u0625\u0630 \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644 \u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0644\u064a\u0643\u0648\u0646:<\/p>\n<p style=\"text-align: justify;\">:\u0639\u062f\u062f \u0627\u0644\u0623\u0637\u0646\u0627\u0646 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0633\u0646\u0648\u064a\u0627 \u0645\u0646 \u0627\u0644\u0628\u064a\u0628\u0633\u064a X1<\/p>\n<p style=\"text-align: justify;\">:\u0639\u062f\u062f \u0627\u0644\u0623\u0637\u0646\u0627\u0646 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0633\u0646\u0648\u064a\u0627 \u0645\u0646 \u0627\u0644\u0633\u0641\u0646 \u0622\u0628 X2<\/p>\n<p style=\"text-align: justify;\">:\u0639\u062f\u062f \u0627\u0644\u0623\u0637\u0646\u0627\u0646 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0633\u0646\u0648\u064a\u0627 \u0645\u0646 \u0627\u0644\u0645\u064a\u0631\u0646\u062f\u0627 \u0628\u0631\u062a\u0642\u0627\u0644X3<\/p>\n<p style=\"text-align: justify;\">:\u0639\u062f\u062f \u0627\u0644\u0623\u0637\u0646\u0627\u0646 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0645\u0646 \u0627\u0644\u0645\u064a\u0631\u0646\u062f\u0627 \u062a\u0641\u0627\u062d X4<\/p>\n<p style=\"text-align: justify;\">:\u0639\u062f\u062f \u0627\u0644\u0623\u0637\u0646\u0627\u0646 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0633\u0646\u0648\u064a\u0627 \u0645\u0646 \u0627\u0644\u0641\u0631\u0627\u0648\u0644\u0629X5<\/p>\n<p style=\"text-align: justify;\">3. <strong>\u0627\u0644\u0642\u064a\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0640\u0648\u062f:<\/strong><\/p>\n<p style=\"text-align: justify;\">\u0625\u0646 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0641\u064a \u062a\u0643\u0648\u064a\u0646 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0647\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u0645\u0641\u0631\u0648\u0636\u0629 \u0639\u0644\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645 \u0648\u0639\u0644\u064a \u0627\u0644\u0637\u0644\u0628 \u0644\u0625\u0646\u062a\u0627\u062c \u0623\u0644\u062e\u0645\u0633\u0647 \u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0645\u0646 \u0642\u0628\u0644 \u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643 \u0648\u0641\u0642\u0627 \u0644\u0645\u062d\u062f\u0648\u062f\u064a\u0629 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0648\u0645\u062d\u062f\u0648\u062f\u064a\u0629 \u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0639\u0645\u0644 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0639\u0645\u0627\u0644 \u0647\u0648 \u0645\u062d\u062f\u0648\u062f\u064a\u0629 \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a \u0648\u062a\u062a\u0645\u062b\u0644 \u0647\u0630\u0647 \u0642\u064a\u0648\u062f \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0627\u0646\u062a\u0627\u062c\u064a\u0647<\/p>\n<p style=\"text-align: justify;\">\u0648\u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u062b\u0644\u0627\u062b\u0629 ( \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645 ,\u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a\u060c\u0627\u0644\u0639\u0645\u0627\u0644\u0629) \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0628\u0635\u0648\u0631\u0647 \u0623\u0648\u0636\u062d \u0648\u0641\u0642\u0627 \u0644\u0644\u0627\u062a\u064a:-<\/p>\n<p style=\"text-align: justify;\">1- <strong>\u0642\u064a\u062f \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645<\/strong><\/p>\n<p style=\"text-align: justify;\">\u0647\u0630\u0627 \u0627\u0644\u0642\u064a\u062f \u064a\u0623\u062e\u0630 :<\/p>\n<p style=\"text-align: justify;\"><strong>)i = 1,2,3,\u2026\u2026..,m )<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><sup>(j = 1,2,3 \u2026\u2026\u2026..,n ) <\/sup><\/strong><\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0623\u0646<\/p>\n<p style=\"text-align: justify;\">aij \u062a\u0645\u062b\u0644 \u0643\u0645\u064a\u0629 \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645 ( \u0643\u064a\u0644\u0648 \/\u0643\u064a\u0644\u0648 \u062c\u0631\u0627\u0645 ) \u0648\u062d\u062f\u0629 \u0627\u0644\u062a\u064a \u062a\u062f\u062e\u0644 \u0641\u064a \u0625\u0646\u062a\u0627\u062c i<\/p>\n<p style=\"text-align: justify;\">bi \u062a\u0645\u062b\u0644 \u0643\u0645\u064a\u0629 \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645 i \u0627\u0644\u0645\u062a\u0648\u0641\u0631\u0629 \u0644\u0634\u0631\u0643\u0647 \u0623\u0631\u0627\u0643 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 (\u0628\u0627\u0644\u062c\u0631\u0627\u0645 \/\u0643\u064a\u0644\u0648 \u062c\u0631\u0627\u0645 ) \u0648\u062a\u0642\u0648\u0645 \u0623\u062f\u0627\u0631\u0647 \u0627\u0644\u0625\u062d\u0635\u0627\u0621 \u0648\u0636\u0628\u0637 \u0623\u0644\u062c\u0648\u062f\u0647 \u0628\u062a\u062e\u0635\u064a\u0635 \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645 \u0627\u0644\u0645\u062a\u0627\u062d\u0629 \u0644\u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0623\u0644\u062e\u0645\u0633\u0647 \u0627\u0644\u062a\u064a \u062a\u0642\u0648\u0645 \u0623\u062f\u0627\u0631\u0647 \u0627\u0644\u0634\u0631\u0643\u0629 \u0628\u062a\u0635\u0646\u064a\u0639\u0647\u0627 \u0648\u0628\u062f\u0648\u0631\u0647\u0627 \u062a\u0642\u0648\u0645 \u0628\u062a\u062c\u0647\u064a\u0632 \u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062e\u0627\u0645 \u0644\u0637\u0648\u0644 \u0627\u0644\u0639\u0627\u0645 \u062d\u064a\u062b \u0625\u0646 \u0633\u064a\u0631 \u062e\u0637 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629.<\/p>\n<p style=\"text-align: justify;\">(3-2-2) \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0627\u0644\u064a \u062a\u0642\u0633\u064a\u0645\u0627\u062a \u0627\u0644\u0645\u0627\u062f\u0629 \u0627\u0644\u062e\u0627\u0645 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0644\u0643\u0644 \u0646\u0648\u0639<\/p>\n<table>\n<tbody>\n<tr>\n<td>\u00a0<\/td>\n<td>\n<p>\u0627\u0633\u0645 \u0627\u0644\u0645\u0627\u062f\u0629 \u0627\u0644\u062e\u0627\u0645<\/p>\n<\/td>\n<td>\n<p>X1<\/p>\n<\/td>\n<td>\n<p>X2<\/p>\n<\/td>\n<td>\n<p>X3<\/p>\n<\/td>\n<td>\n<p>X4<\/p>\n<\/td>\n<td>\n<p>X5<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u0645\u062a\u0627\u062d\u0629 \u0628\u0627\u0644\u062c\u0631\u0627\u0645<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>1<\/p>\n<\/td>\n<td>\n<p>\u0633\u0643\u0631<\/p>\n<\/td>\n<td>\n<p>53.7<\/p>\n<\/td>\n<td>\n<p>54.2<\/p>\n<\/td>\n<td>\n<p>54.0<\/p>\n<\/td>\n<td>\n<p>62.0<\/p>\n<\/td>\n<td>\n<p>56.2<\/p>\n<\/td>\n<td>\n<p>34,560,000,000<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>2<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0645\u0648\u0627\u062f \u0627\u0644\u062c\u0627\u0641\u0629<\/p>\n<\/td>\n<td>\n<p>1.5<\/p>\n<\/td>\n<td>\n<p>1.4<\/p>\n<\/td>\n<td>\n<p>1.4<\/p>\n<\/td>\n<td>\n<p>1.5<\/p>\n<\/td>\n<td>\n<p>1.33<\/p>\n<\/td>\n<td>\n<p>8,640,000,000<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>3<\/p>\n<\/td>\n<td>\n<p>\u0628\u0643\u0631\u0628\u0648\u0646\u0627\u062a<\/p>\n<\/td>\n<td>\n<p>72<\/p>\n<\/td>\n<td>\n<p>62<\/p>\n<\/td>\n<td>\n<p>44<\/p>\n<\/td>\n<td>\n<p>44<\/p>\n<\/td>\n<td>\n<p>46<\/p>\n<\/td>\n<td>\n<p>129,600,000,000<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>4<\/p>\n<\/td>\n<td>\n<p>\u0645\u0627\u062f\u0647 \u062a\u0631\u0643\u064a\u0632<\/p>\n<\/td>\n<td>\n<p>0.662<\/p>\n<\/td>\n<td>\n<p>0.669<\/p>\n<\/td>\n<td>\n<p>0.837<\/p>\n<\/td>\n<td>\n<p>0.844<\/p>\n<\/td>\n<td>\n<p>0.634<\/p>\n<\/td>\n<td>\n<p>2,658,461,000,00<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>5<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u062d\u0627\u0645\u0636<\/p>\n<\/td>\n<td>\n<p>0.6<\/p>\n<\/td>\n<td>\n<p>0.80<\/p>\n<\/td>\n<td>\n<p>0.82<\/p>\n<\/td>\n<td>\n<p>0.78<\/p>\n<\/td>\n<td>\n<p>0.76<\/p>\n<\/td>\n<td>\n<p>953,856,000,000<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0627\u0644\u0645\u0635\u062f\u0631\u0629 \u0634\u0631\u0643\u0647 \u0623\u0631\u0627\u0643<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">1- 53.7X1+54.2X2+54.0X3+62.0X4+56.2X5\u226434,560,000,000<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">2- 1.5X1+1.4X2+1.4X3+1.5X4+1.33X5\u22648,640,000,000<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">3- 72X1+62X2+44X3+44X4+46X5\u2264129,600,000,000<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">4- 0.662&#215;1+0.669&#215;2+0.837X3+0.844X4+0.634X5\u22642,658,461,000,0<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">5- 0.6X1+0.80X2+0.82X3+0.78X4+0.76X5\u2264953,856,000,000<\/p>\n<p style=\"text-align: justify;\"><strong>2- \u0642\u064a\u062f \u0645\u0627\u0643\u064a\u0646\u0627\u062a \u0627\u0644\u0625\u0646\u062a\u0627\u062c<\/strong><\/p>\n<p style=\"text-align: justify;\">\u0625\u0646 \u0642\u064a\u0648\u062f \u0645\u0627\u0643\u064a\u0646\u0627\u062a \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u064a\u0645\u0643\u0646 \u0635\u064a\u0627\u063a\u062a\u0647\u0627 \u0639\u0644\u064a \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a<\/p>\n<p style=\"text-align: justify;\"><strong>)i = 1,2,3,\u2026\u2026..,m )<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><sup>(j = 1,2,3 \u2026\u2026\u2026..,n ) <\/sup><\/strong><\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0623\u0646 :<\/p>\n<p style=\"text-align: justify;\">aij \u062a\u0645\u062b\u0644 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0630\u064a \u062a\u0633\u062a\u063a\u0631\u0642\u0647 \u0643\u0644 \u0648\u062d\u062f\u0629<\/p>\n<p style=\"text-align: justify;\">\u0625\u0646\u062a\u0627\u062c \u0639\u0644\u064a \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0629 ( \u0641\u064a \u0645\u0631\u062d\u0644\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c i ) \u062d\u062a\u064a \u064a\u062a\u0645 \u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0648\u062d\u062f\u0629 ( \u0631\u0642\u0645 j )<\/p>\n<p style=\"text-align: justify;\">bi \u062a\u0645\u062b\u0644 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0642\u0635\u0648\u0649 \u0644\u0639\u062f\u062f \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a \u0641\u064a \u0643\u0644 \u0645\u0631\u062d\u0644\u0629 ( \u0631\u0642\u0645 i ) \u0645\u0646 \u0645\u0631\u0627\u062d\u0644 \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u062d\u062a\u0649 \u062a\u062a\u0645 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 \u0648\u0627\u0644\u062c\u062f\u0648\u0644 \u064a\u0648\u0636\u062d \u0627\u0644\u0642\u064a\u0648\u062f \u0645\u0646 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0630\u064a \u062a\u0633\u062a\u063a\u0631\u0642\u0647 \u0643\u0644 \u0648\u062d\u062f\u0647 \u0625\u0646\u062a\u0627\u062c \u0639\u0644\u0649 \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0629 0<\/p>\n<p style=\"text-align: justify;\">\u0648\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0643\u0644\u0649 \u0645\u0646 \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0627\u062d\u0629 \u0628\u0627\u0644\u0634\u0631\u0643\u0629 \u062d\u064a\u062b \u0623\u0646\u0647\u0627 \u062c\u0645\u0639\u062a \u0645\u0646 \u0642\u0633\u0645 \u0627\u0644\u0625\u062f\u0627\u0631\u0629 \u0648\u0627\u0644\u0635\u064a\u0627\u0646\u0629 \u0645\u0648\u0636\u062d\u0629 \u0641\u064a \u062c\u062f\u0648\u0644 (1)<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p>\u0627\u0644\u0639\u0645\u0644\u064a\u0629<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u063a\u0633\u064a\u0644<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0623\u0648\u0644\u0649<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u062e\u0644\u0637<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u062a\u0639\u0628\u0626\u0629<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0642\u0641\u0644 \u0648\u0627\u0644\u062e\u062a\u0645 \u0636\u0628\u0637 \u0623\u0644\u062c\u0648\u062f\u0647<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0646\u0647\u0627\u0626\u064a<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0643\u0644\u064a<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0639\u062f\u062f \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a<\/p>\n<\/td>\n<td>\n<p>4<\/p>\n<\/td>\n<td>\n<p>4<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<td>\n<p>4<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<td>\n<p>36<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u062c\u062f\u0648\u0644 (1) :<\/p>\n<p style=\"text-align: justify;\">\u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0643\u0644\u0649 \u0627\u0644\u0630\u064a \u062a\u0628\u0630\u0644\u0647 \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 \u0625\u0646 \u0643\u0644 \u0645\u0627\u0643\u064a\u0646\u0629 \u062a\u0639\u0645\u0644 24\u0633\u0627\u0639\u0647 \u064a\u0648\u0645\u064a\u0627 \u0648\u062d\u064a\u062b \u0625\u0646 \u0627\u0644\u0634\u0631\u0643\u0629 \u062a\u0639\u0645\u0644 \u0628\u0646\u0638\u0627\u0645 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0648\u0631\u062f\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u064a\u0648\u0645 \u0628\u0648\u0627\u0642\u0639 8\u0633\u0627\u0639\u0627\u062a \u0644\u0643\u0644 \u0648\u0631\u062f\u064a\u0647 \u0648\u0639\u0644\u064a\u0647 \u0641\u0627\u0646 \u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0642\u0635\u0648\u0649 \u0644\u0639\u0645\u0644 \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a \u0641\u064a \u0627\u0644\u0639\u0627\u0645 =\u0639\u062f\u062f \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a *24*288=248832<\/p>\n<p style=\"text-align: justify;\">\u062c\u062f\u0648\u0644 (2)\u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0630\u064a \u062a\u0633\u062a\u063a\u0631\u0642\u0647 \u0648\u062d\u062f\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0639\u0644\u064a \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0629<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p>\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629<\/p>\n<\/td>\n<td>\n<p>X1<\/p>\n<\/td>\n<td>\n<p>X2<\/p>\n<\/td>\n<td>\n<p>X3<\/p>\n<\/td>\n<td>\n<p>X4<\/p>\n<\/td>\n<td>\n<p>X5<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0637\u0627\u0642\u0629 \u0627\u0644\u0642\u0635\u0648\u0627\u0621 \u0644\u0639\u0645\u0644 \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0629 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u063a\u0633\u064a\u0644<\/p>\n<\/td>\n<td>\n<p>0.25<\/p>\n<\/td>\n<td>\n<p>0.12<\/p>\n<\/td>\n<td>\n<p>0.21<\/p>\n<\/td>\n<td>\n<p>0.20<\/p>\n<\/td>\n<td>\n<p>0.19<\/p>\n<\/td>\n<td>\n<p>27648<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0623\u0648\u0644\u0649<\/p>\n<\/td>\n<td>\n<p>0.26<\/p>\n<\/td>\n<td>\n<p>0.20<\/p>\n<\/td>\n<td>\n<p>0.20<\/p>\n<\/td>\n<td>\n<p>0.22<\/p>\n<\/td>\n<td>\n<p>0.19<\/p>\n<\/td>\n<td>\n<p>272648<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u062e\u0644\u0637<\/p>\n<\/td>\n<td>\n<p>0.20<\/p>\n<\/td>\n<td>\n<p>0.18<\/p>\n<\/td>\n<td>\n<p>0.18<\/p>\n<\/td>\n<td>\n<p>0.26<\/p>\n<\/td>\n<td>\n<p>0.16<\/p>\n<\/td>\n<td>\n<p>552096<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u062a\u0639\u0628\u0626\u0629<\/p>\n<\/td>\n<td>\n<p>0.18<\/p>\n<\/td>\n<td>\n<p>0.15<\/p>\n<\/td>\n<td>\n<p>0.16<\/p>\n<\/td>\n<td>\n<p>0.19<\/p>\n<\/td>\n<td>\n<p>0.13<\/p>\n<\/td>\n<td>\n<p>55296<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0642\u0641\u0644 \u0648\u0627\u0644\u062e\u062a\u0645<\/p>\n<\/td>\n<td>\n<p>0.22<\/p>\n<\/td>\n<td>\n<p>0.20<\/p>\n<\/td>\n<td>\n<p>0.20<\/p>\n<\/td>\n<td>\n<p>0.18<\/p>\n<\/td>\n<td>\n<p>0.17<\/p>\n<\/td>\n<td>\n<p>27648<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0646\u0647\u0627\u0626\u064a<\/p>\n<\/td>\n<td>\n<p>0.28<\/p>\n<\/td>\n<td>\n<p>0.18<\/p>\n<\/td>\n<td>\n<p>0.17<\/p>\n<\/td>\n<td>\n<p>0.15<\/p>\n<\/td>\n<td>\n<p>0.15<\/p>\n<\/td>\n<td>\n<p>55296<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0625\u0639\u062f\u0627\u062f \u0627\u0644\u0628\u0627\u062d\u062b<\/p>\n<p style=\"text-align: justify;\">\u0648\u0644\u0628\u0646\u0627\u0621 \u0627\u0644\u0642\u064a\u0648\u062f \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0627\u062a.<\/p>\n<p style=\"text-align: justify;\">\u062a\u0643\u0648\u064a\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0642\u064a\u062f \u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u0644\u0643\u0644 \u0645\u0627\u0643\u064a\u0646\u0629 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 \u0648\u0641\u0642\u0627 \u0644\u0644\u0627\u062a\u064a:<\/p>\n<ol style=\"text-align: justify;\">\n<li dir=\"ltr\">0.25X1+0.12X2+0.21X3+0.20X4+0.19X5\u226427648<\/li>\n<li dir=\"ltr\">0.26X1+0.20X2+0.20X3+0.22X4+0.19&#215;5\u2264272648<\/li>\n<li dir=\"ltr\">0.20X1+0.18X2+0.18&#215;3+0.26X4+0.16X5\u2264552096<\/li>\n<li dir=\"ltr\">0.18X1+0.15X2+0.16X3+0.19X4+0.17X5\u226455296<\/li>\n<li dir=\"ltr\">0.22X1+0.20&#215;2+0.20X3+0.18X4+0.17X5\u226427648<\/li>\n<li dir=\"ltr\">0.28X1+0.18X2+0.17X3+0.15X4+0.15X5\u226455296<\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><strong>3- \u0642\u064a\u062f \u0627\u0644\u0639\u0645\u0627\u0644\u0629 <\/strong><\/p>\n<p style=\"text-align: justify;\">\u0647\u0630\u0627 \u0627\u0644\u0642\u064a\u062f \u064a\u0623\u062e\u0630 \u0627\u0644\u0634\u0643\u0644<\/p>\n<p style=\"text-align: justify;\"><strong>)i = 1,2,3,\u2026\u2026..,m )<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong><sup>(j = 1,2,3 \u2026\u2026\u2026..,n ) <\/sup><\/strong><\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0625\u0646:<\/p>\n<p style=\"text-align: justify;\">aij : \u0639\u062f\u062f \u0627\u0644\u0639\u0645\u0627\u0644 \u0627\u0644\u0645\u0637\u0644\u0648\u0628 \u0644\u0625\u0646\u062a\u0627\u062c \u0648\u062d\u062f\u0629 \u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u0648\u0627\u062d\u062f\u0629 \u0631\u0642\u0645 ( j ) .<\/p>\n<p style=\"text-align: justify;\">bi : \u0627\u0644\u0643\u0645\u064a\u0629 \u0627\u0644\u0645\u062a\u0627\u062d\u0629 \u0645\u0646 \u0627\u0644\u0639\u0645\u0627\u0644\u0629 \u0641\u064a \u0644\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u0631\u0642\u0645 ( i ) \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 . \u0648\u0644\u0628\u0646\u0627\u0621 \u0642\u064a\u0648\u062f \u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0639\u0645\u0644 \u0644\u0627\u0628\u062f \u0645\u0646 \u0645\u0639\u0631\u0641\u0647 \u0639\u062f\u062f \u0627\u0644\u0639\u0645\u0627\u0644\/\u0633\u0627\u0639\u0629 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645 \u0644\u0643\u0644 \u0645\u0631\u062d\u0644\u0647 \u0625\u0646\u062a\u0627\u062c\u064a\u0647 \u062d\u064a\u062b \u0623\u0646 \u0643\u0644<\/p>\n<p style=\"text-align: justify;\">\u0639\u0627\u0645\u0644 \u0639\u0644\u064a \u0627\u0644\u0645\u0627\u0643\u064a\u0646\u0629 \u064a\u0639\u0645\u0644 8 \u0633\u0627\u0639\u0627\u062a \u064a\u0648\u0645\u064a\u0627 \u0648\u0644\u0645\u062f\u0647 288\u064a\u0648\u0645\u064a\u0627 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645<\/p>\n<p style=\"text-align: justify;\">\u062c\u062f\u0648\u0644 (3) \u0639\u062f\u062f \u0627\u0644\u0639\u0645\u0627\u0644\u0629 \u0641\u064a \u0627\u0644\u0648\u0631\u062f\u064a\u0629 \u0627\u0644\u0648\u0627\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062e\u0635\u0635\u0648\u0646 \u0644\u0643\u0644 \u0645\u0631\u062d\u0644\u0629 \u0625\u0646\u062a\u0627\u062c\u064a\u0629<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p>\u0627\u0633\u0645 \u0627\u0644\u0639\u0645\u0644\u064a\u0629<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u063a\u0633\u064a\u0644<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0623\u0648\u0644\u064a<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u062e\u0644\u0637<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u062a\u0639\u0628\u0626\u0629<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0642\u0641\u0644 \u0648\u0627\u0644\u062e\u062a\u0645<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0646\u0647\u0627\u0626\u064a<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0639\u062f\u062f \u0627\u0644\u0639\u0645\u0627\u0644 \/\u0646\u0638\u0627\u0645 \u0648\u0631\u062f\u064a\u0647 \u0648\u0627\u062d\u062f\u0647<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<td>\n<p>16<\/p>\n<\/td>\n<td>\n<p>32<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<td>\n<p>32<\/p>\n<\/td>\n<td>\n<p>8<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0639\u062f\u062f \u0627\u0644\u0639\u0645\u0627\u0644 \u0641\u064a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0648\u0631\u062f\u064a\u0627\u062a<\/p>\n<\/td>\n<td>\n<p>24<\/p>\n<\/td>\n<td>\n<p>48<\/p>\n<\/td>\n<td>\n<p>96<\/p>\n<\/td>\n<td>\n<p>24<\/p>\n<\/td>\n<td>\n<p>96<\/p>\n<\/td>\n<td>\n<p>24<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0627\u0644\u0645\u0635\u062f\u0631 \u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643<\/p>\n<p style=\"text-align: justify;\">\u062c\u062f\u0648\u0644 (4) \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0630\u064a \u064a\u0633\u062a\u063a\u0631\u0642\u0647 \u0627\u0644\u0639\u0627\u0645\u0644 \u0641\u064a \u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0648\u062d\u062f\u0629 \u0627\u0644\u0648\u0627\u062d\u062f\u0629 \u0644\u0643\u0644 \u0645\u0631\u062d\u0644\u0629 \u0625\u0646\u062a\u0627\u062c\u064a\u0629<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p>\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a\/\u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629<\/p>\n<\/td>\n<td>\n<p>X1<\/p>\n<\/td>\n<td>\n<p>X2<\/p>\n<\/td>\n<td>\n<p>X3<\/p>\n<\/td>\n<td>\n<p>X4<\/p>\n<\/td>\n<td>\n<p>X5<\/p>\n<\/td>\n<td>\n<p>\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0643\u0644\u064a \u0644\u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0639\u0645\u0644 \u0641\u064a \u0643\u0644 \u0645\u0631\u062d\u0644\u0647 \u062e\u0644\u0627\u0644 \u0627\u0644\u0639\u0627\u0645<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u063a\u0633\u064a\u0644<\/p>\n<\/td>\n<td>\n<p>0.89<\/p>\n<\/td>\n<td>\n<p>0.85<\/p>\n<\/td>\n<td>\n<p>0.85<\/p>\n<\/td>\n<td>\n<p>0.83<\/p>\n<\/td>\n<td>\n<p>0.80<\/p>\n<\/td>\n<td>\n<p>165888<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0636\u0648\u0626\u064a \u0627\u0644\u0623\u0648\u0644\u064a<\/p>\n<\/td>\n<td>\n<p>0.78<\/p>\n<\/td>\n<td>\n<p>0.61<\/p>\n<\/td>\n<td>\n<p>0.62<\/p>\n<\/td>\n<td>\n<p>0.54<\/p>\n<\/td>\n<td>\n<p>0.60<\/p>\n<\/td>\n<td>\n<p>331776<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u062e\u0644\u0637<\/p>\n<\/td>\n<td>\n<p>8.3<\/p>\n<\/td>\n<td>\n<p>7.63<\/p>\n<\/td>\n<td>\n<p>8.0<\/p>\n<\/td>\n<td>\n<p>6.2<\/p>\n<\/td>\n<td>\n<p>5.3<\/p>\n<\/td>\n<td>\n<p>663552<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u062a\u0639\u0628\u0626\u0629<\/p>\n<\/td>\n<td>\n<p>0.93<\/p>\n<\/td>\n<td>\n<p>0.73<\/p>\n<\/td>\n<td>\n<p>0.70<\/p>\n<\/td>\n<td>\n<p>0.69<\/p>\n<\/td>\n<td>\n<p>0.70<\/p>\n<\/td>\n<td>\n<p>165888<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0642\u0641\u0644 \u0648\u0627\u0644\u062e\u062a\u0645<\/p>\n<\/td>\n<td>\n<p>7.3<\/p>\n<\/td>\n<td>\n<p>6.7<\/p>\n<\/td>\n<td>\n<p>6.7<\/p>\n<\/td>\n<td>\n<p>5.9<\/p>\n<\/td>\n<td>\n<p>5.92<\/p>\n<\/td>\n<td>\n<p>663552<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0643\u0634\u0641 \u0627\u0644\u0646\u0647\u0627\u0626\u064a<\/p>\n<\/td>\n<td>\n<p>0.68<\/p>\n<\/td>\n<td>\n<p>0.57<\/p>\n<\/td>\n<td>\n<p>0.58<\/p>\n<\/td>\n<td>\n<p>0.52<\/p>\n<\/td>\n<td>\n<p>0.52<\/p>\n<\/td>\n<td>\n<p>165888<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0645\u0646 \u0627\u0644\u062c\u062f\u0648\u0644 \u0641\u0627\u0646 \u0642\u064a\u0648\u062f \u0633\u0627\u0639\u0627\u062a \u0627\u0644\u0639\u0645\u0627\u0644\u0629 \u064a\u0645\u0643\u0646 \u0635\u064a\u0627\u063a\u062a\u0647\u0627 \u0643\u0627\u0644\u0623\u062a\u064a:-<\/p>\n<ol style=\"text-align: justify;\">\n<li dir=\"ltr\">0.89X1+0.85X2+0.85X3+0.83X4+0.80X5\u2264165888<\/li>\n<li dir=\"ltr\">0.78X1+0.61X2+0.62X3+0.54X4+0.60X5\u2264331776<\/li>\n<li dir=\"ltr\">8.3X1+7.63X2+8.0X3+6.2X4+5.3X5\u2264663552<\/li>\n<li dir=\"ltr\">0.93X1+0.73X2+0.70X3+0.69X4+0.70X5\u2264165888<\/li>\n<li dir=\"ltr\">7.3X1+6.7X2+6.7X3+5.9X4+5.92X5\u2264663552<\/li>\n<li dir=\"ltr\">0.68X1+0.57X2+0.58X3+0.52X4+0.52X5\u2264165888<\/li>\n<\/ol>\n<p style=\"text-align: justify;\">4-<strong> \u0642\u064a\u0648\u062f \u0639\u062f\u0645 \u0627\u0644\u0633\u0627\u0644\u0628\u064a\u0629<\/strong><\/p>\n<p style=\"text-align: justify;\">\u0648\u062a\u0639\u0646\u064a \u0647\u0630\u0647 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0625\u0646 \u0627\u0644\u0643\u0645\u064a\u0627\u062a \u0627\u0644\u0633\u0627\u0644\u0628\u0629 \u0628\u062d\u062c\u0645 \u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0634\u0631\u0643\u0629 \u063a\u064a\u0631 \u0645\u0645\u0643\u0646\u0647 \u0648\u0647\u0648 \u0642\u064a\u062f \u0636\u0645\u0646\u064a (\u0645\u0641\u0647\u0648\u0645 \u0645\u0646\u0637\u0642\u064a) \u0627\u0646\u0647 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0625\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0643\u0644\u064a \u0645\u0646 \u0627\u0644\u0645\u0634\u0631\u0648\u0628\u0627\u062a \u0627\u0644\u062e\u0645\u0633\u0629 \u0628\u0627\u0644\u0633\u0627\u0644\u0628(\u0625\u064a \u0627\u0642\u0644 \u0645\u0646 \u0627\u0644\u0635\u0641\u0631) \u0644\u0630\u0644\u0643 \u064a\u0641\u0631\u0636 \u062f\u0627\u0626\u0645\u0627 \u0639\u0644\u064a \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0642\u064a\u062f \u0639\u062f\u0645 \u0623\u0644\u0633\u0627\u0644\u0628\u064a\u0647 \u0648\u064a\u0643\u062a\u0628 \u0639\u0644\u064a \u0627\u0644\u0635\u064a\u063a\u0629<\/p>\n<p style=\"text-align: justify;\">X1,X2,X3,X4,X5\u22650<\/p>\n<p style=\"text-align: justify;\"><strong>4- \u062f\u0627\u0644\u0629 \u0627\u0644\u0647\u062f\u0641 <\/strong><\/p>\n<p style=\"text-align: justify;\">\u0625\u0646 \u0627\u0644\u062e\u0637\u0648\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 \u0645\u0646 \u0635\u064a\u0627\u063a\u0629 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0647\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0647\u062f\u0641(\u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u0625\u0631\u0628\u0627\u062d \u2013 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u062a\u0643\u0627\u0644\u064a\u0641) \u0627\u0644\u0646\u0627\u062c\u0645\u0629 \u0639\u0646 \u0627\u0644\u0625\u0646\u062a\u0627\u062c<\/p>\n<p style=\"text-align: justify;\">\u0625\u0646 \u062f\u0627\u0644\u0647 \u0627\u0644\u0647\u062f\u0641 \u062a\u0623\u062e\u0630 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:-<\/p>\n<p style=\"text-align: justify;\">=\u2211 Ci . Xi =(i=1,2,\u2026,n)<\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u0625\u0646 :<\/p>\n<p style=\"text-align: justify;\">: \u062a\u0645\u062b\u0644 \u0635\u0627\u0641\u064a \u0627\u0644\u0639\u0627\u0626\u062f\u0627\u062aZ<\/p>\n<p style=\"text-align: justify;\">: \u062a\u0645\u062b\u0644 \u0639\u0627\u0626\u062f\u0627\u062a \u0627\u0644\u0631\u0628\u062d \u0645\u0646 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0648\u064a\u062c\u0628 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u062f\u0627\u0644\u0647 \u0627\u0644\u0647\u062f\u0641 Ci<\/p>\n<p style=\"text-align: justify;\">\u0643\u0645\u064a\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0647\u062f\u0641 \u0647\u0648 \u062a\u0639\u0638\u064a\u0645 \u0627\u0644\u0625\u0631\u0628\u0627\u062d \u0623\u0648 \u062a\u0642\u0644\u064a\u0644 \u0627\u0644\u062a\u0643\u0627\u0644\u064a\u0641 \u0623\u0648 \u062a\u0648\u0641\u064a\u0631 \u0627\u0643\u0628\u0631 \u0642\u062f\u0631 \u0645\u0646 \u0627\u0644\u062c\u0647\u062f<\/p>\n<p style=\"text-align: justify;\">\u0648\u0644\u062a\u0643\u0648 \u064a\u0646 \u0623\u0648 \u0635\u064a\u0627\u063a\u0629 \u062f\u0627\u0644\u0647 \u0627\u0644\u0647\u062f\u0641 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643 \u0644\u0627\u0628\u062f \u0645\u0646 \u062a\u0648\u0627\u0641\u0631 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0633\u0639\u0631 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062e\u0645\u0633\u0629 \u0648\u062a\u0643\u0644\u0641\u0647 \u0643\u0644 \u0646\u0648\u0639(\u0645\u062a\u063a\u064a\u0631) \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0623\u062f\u0646\u0627\u0647 \u062c\u0645\u0639\u062a \u0645\u0646 \u0627\u0644\u0642\u0633\u0645 \u0627\u0644\u062a\u062c\u0627\u0631\u064a \u0644\u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643 \u0648\u0647\u064a \u0645\u0648\u0636\u062d \u0641\u064a \u0634\u0643\u0644 \u062c\u062f\u0648\u0644<\/p>\n<p style=\"text-align: justify;\">\u062c\u062f\u0648\u0644 (5) \u064a\u0645\u062b\u0644 \u0633\u0639\u0631 \u0643\u0644 \u0645\u0646\u062a\u062c<\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p>\u0627\u0644\u0645\u062a\u063a\u064a\u0631\/\u0627\u0644\u0633\u0639\u0631<\/p>\n<\/td>\n<td>\n<p>X1<\/p>\n<\/td>\n<td>\n<p>X2<\/p>\n<\/td>\n<td>\n<p>X3<\/p>\n<\/td>\n<td>\n<p>X4<\/p>\n<\/td>\n<td>\n<p>X5<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0633\u0639\u0631 \u0648\u062d\u062f\u0647\/\u0628\u0627\u0644\u062f\u064a\u0646\u0627\u0631<\/p>\n<\/td>\n<td>\n<p>900<\/p>\n<\/td>\n<td>\n<p>900<\/p>\n<\/td>\n<td>\n<p>900<\/p>\n<\/td>\n<td>\n<p>900<\/p>\n<\/td>\n<td>\n<p>900<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0648\u062d\u062f\u0647\/\u0628\u0627\u0644\u062f\u064a\u0646\u0627\u0631<\/p>\n<\/td>\n<td>\n<p>701<\/p>\n<\/td>\n<td>\n<p>693<\/p>\n<\/td>\n<td>\n<p>695<\/p>\n<\/td>\n<td>\n<p>682<\/p>\n<\/td>\n<td>\n<p>672<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u0627\u0644\u0631\u0628\u062d\/\u0644\u0643\u0644 \u0648\u062d\u062f\u0647 \u0628\u0627\u0644\u062f\u064a\u0646\u0627\u0631<\/p>\n<\/td>\n<td>\n<p>199<\/p>\n<\/td>\n<td>\n<p>207<\/p>\n<\/td>\n<td>\n<p>205<\/p>\n<\/td>\n<td>\n<p>218<\/p>\n<\/td>\n<td>\n<p>288<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\">\u0633\u062c\u0644\u0627\u062a \u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643<\/p>\n<p style=\"text-align: justify;\">\u0646\u0644\u0627\u062d\u0638 \u0645\u0646 \u0627\u0644\u062c\u062f\u0648\u0644 \u064a\u062a\u0636\u062d \u0625\u0646 \u0627\u0644\u0645\u062a\u063a\u064a\u0631 \u00d7(\u0645\u0646\u062a\u062c \u0627\u0644\u0641\u0631\u0627\u0648\u0644\u0629 ) \u064a\u062d\u0642\u0642 \u0627\u0639\u0644\u064a \u0631\u0628\u062d \u0648\u0630\u0644\u0643 \u0646\u0633\u0628\u0647 \u0644\u0642\u0644\u0629 \u062a\u0643\u0627\u0644\u064a\u0641\u0647 .<\/p>\n<p style=\"text-align: justify;\">\u0644\u0645\u0627\u0630\u0627 \u062a\u0641\u0643\u0631 \u0623\u062f\u0627\u0631\u0647 \u0627\u0644\u0645\u0635\u0646\u0639 \u0641\u064a \u0625\u0646\u062a\u0627\u062c \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u0627\u062e\u0631\u064a \u0645\u0646 \u0627\u0644\u0645\u0634\u0631\u0648\u0628\u0627\u062a\u061f \u0625\u0646 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0639\u0644\u064a \u0647\u0630\u0627 \u0627\u0644\u062a\u0633\u0627\u0624\u0644 \u0623\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0635\u0646\u0639 \u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0628\u0639\u0636 \u0627\u0644\u0642\u064a\u0648\u062f \u0644\u0627\u0646 \u0627\u0644\u0637\u0644\u0628 \u0648\u062d\u062f\u0647 \u0644\u0646 \u064a\u0645\u0643\u0646 \u0645\u0646 \u062a\u062d\u062f\u064a\u062f \u0623\u0645\u062b\u0644\u064a\u0647 \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0648\u0644\u0630\u0644\u0643 \u0646\u062c\u062f \u0623\u0646 \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0623\u0644\u062e\u0637\u064a\u0647 \u0644\u062f\u064a\u0647\u0627 \u0627\u0644\u0642\u062f\u0631\u0629 \u0639\u0644\u064a \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0627\u0645\u062b\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0648\u0630\u0644\u0643 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0642\u064a\u0645 \u0648\u062a\u0633\u0647\u064a\u0644 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c\u064a\u0629 \u0648\u0630\u0644\u0643 \u062a\u062d\u062f\u064a\u062f \u0647\u0627\u0645\u0634 \u0627\u0644\u0631\u0628\u062d \u0648\u0637\u0644\u0628 \u0627\u0644\u0633\u0648\u0642 \u0648\u0628\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0643\u0645\u064a\u0627\u062a \u0627\u0644\u0645\u0646\u062a\u062c\u0629 \u0645\u0646 \u0643\u0644 \u0646\u0648\u0639 \u0644\u0643\u0644 \u0648\u062d\u062f\u0627\u062a \u0627\u0644\u0625\u0646\u062a\u0627\u062c.<\/p>\n<p style=\"text-align: justify;\">\u0628\u0639\u062f \u062a\u0643\u0648\u064a\u0646 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0644\u0645\u0635\u0646\u0639 \u0623\u0631\u0627\u0643 \u0641\u0625\u0646\u0646\u0627 \u064a\u0645\u0643\u0646 \u062a\u0628\u0633\u064a\u0637 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u062f\u0627\u0644\u0647 \u0627\u0644\u0647\u062f\u0641 \u0648\u0627\u0644\u0642\u064a\u0648\u062f \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0623\u062f\u0646\u0627\u0647<\/p>\n<p style=\"text-align: justify;\">Max z=199X1+207X2+205X3+218X4+288X5<\/p>\n<p style=\"text-align: justify;\">\u0627\u0644\u0642\u064a\u0648\u062f :-<\/p>\n<ol style=\"text-align: justify;\">\n<li dir=\"ltr\">53.7X1+54.2X2+54.0X3+62.0X4+56.2&#215;5\u226434,560,000,000<\/li>\n<li dir=\"ltr\">1.5X1+1.4X2+1.4X3+1.5X4+1.33X5\u22648,640,000,000<\/li>\n<li dir=\"ltr\">72X1+62X2+44X3+44X4+46X5\u2264129,600.000.000<\/li>\n<li dir=\"ltr\">0.662X1+0.669X2+0.837X3+0.844X4+0.634X5\u22642,658,461,000,000<\/li>\n<li dir=\"ltr\">0.62X1+0.80X2+0.82X3+0.78X4+0.76X5\u2264953,856,000,000<\/li>\n<li dir=\"ltr\">0.25X1+0.12X2+0.21X30.20X4+0.19X5\u226427648<\/li>\n<li dir=\"ltr\">0.26X1+0.20X2+0.20X3+0.22X4+0.19X5\u2264272648<\/li>\n<li dir=\"ltr\">0.20X1+0.18X2+0.18X3+0.26X4+0.16X5\u2264552096<\/li>\n<li dir=\"ltr\">0.18X1+0.15X2+0.16X3+0.19X4+0.13X5\u226455296<\/li>\n<li dir=\"ltr\">0.22X1+0.20X2+0.20X3+0.18X4+0.17X5\u226427648<\/li>\n<li dir=\"ltr\">0.28X1+0.18X2+0.17X3+0.15X4+0.15X5\u226455296<\/li>\n<li dir=\"ltr\">0.89X1+0.85X2+0.85X3+0.83X4+0.80X5\u2264165888<\/li>\n<li dir=\"ltr\">0.78X1+0.61X2+0.62X3+0.54X4+0.60X5\u2264331776<\/li>\n<li dir=\"ltr\">8.3X1+7.63&#215;2+8.0X3+6.2X4+5.3X5\u2264663552<\/li>\n<li dir=\"ltr\">0.93X1+0.73X2+0.70X3+0.69X4+0.70X5\u2264165888<\/li>\n<li dir=\"ltr\">7.3X1+607X2+6.7X3+5.9X4+5.92X5\u2264663552<\/li>\n<li dir=\"ltr\">0.68X10.57X2+0.58X3+0.52X4+0.52X5\u2264165888<\/li>\n<li dir=\"ltr\">X1,X2,X3,X4,X5\u22650<\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c :<\/strong><\/p>\n<p style=\"text-align: justify;\">\u062a\u0648\u0635\u0644\u0646\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u064a \u0627\u0646\u0647 \u064a\u0645\u0643\u0646 \u062a\u0643\u0648\u064a\u0646 \u0646\u0645\u0648\u0630\u062c \u0628\u0631\u0645\u062c\u0629 \u062e\u0637\u064a\u0629 \u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0627\u0642\u0639\u064a\u0629 \u0648\u062d\u0644\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u064a \u0628\u0631\u0646\u0627\u0645\u062c \u0645\u0646 \u0627\u0644\u0628\u0631\u0627\u0645\u062c \u0627\u0644\u062d\u0627\u0633\u0648\u0628\u064a\u0629 \u0646\u0638\u0631\u0627 \u0644\u0639\u062f\u062f \u0627\u0644\u0645\u062a\u0628\u0627\u064a\u0646\u0627\u062a \u0627\u0644\u0643\u0628\u064a\u0631 .<\/p>\n<p style=\"text-align: justify;\">\u062d\u064a\u062b \u062a\u0645 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u062a\u0648\u0636\u064a\u062d \u062e\u0637\u0648\u0627\u062a \u0628\u0646\u0627\u0621 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0648\u0630\u0644\u0643 \u0644\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646 \u0630\u0644\u0643 \u0641\u064a \u0627\u0644\u0645\u0648\u0633\u0633\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0648\u0643\u0630\u0644\u0643 \u062a\u062f\u0631\u064a\u0628 \u0627\u0644\u0628\u0627\u062d\u062b\u064a\u0646 \u0639\u0644\u064a \u0643\u064a\u0641\u064a\u0629 \u0628\u0646\u0627\u0621 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629<\/p>\n<p style=\"text-align: justify;\"><strong>\u0627\u0644\u0645\u0635\u0627\u062f\u0631 \u0648\u0627\u0644\u0645\u0631\u0627\u062c\u0639<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>\u0627\u0644\u0645\u0631\u0627\u062c\u0639 \u0627\u0644\u0639\u0631\u0628\u064a\u0629 <\/strong><\/p>\n<p style=\"text-align: justify;\">1 &#8211; \u0627\u0644\u0648\u0648\u062f\u0627\u0633 . \u0628\u0641\u0627 \u062a\u0639\u0631\u064a\u0628 \u0631\u0627\u0643\u0634 \u0643\u064a \u2013 \u0633\u0627\u0631\u062a \u060c \u0645\u062d\u0645\u062f \u0645\u062d\u0645\u0648\u062f \u0627\u0644\u0634\u0648\u0631\u0627\u0628\u064a <strong>\u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0648\u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a ( <\/strong>\u0645\u062f\u062e\u0644 \u062d\u062f\u064a\u062b <strong> )<\/strong> ( \u062f- \u0628 )<\/p>\n<p style=\"text-align: justify;\">2 &#8211; \u0627\u0644\u0639\u0628\u064a\u062f\u064a \u0645\u062d\u0645\u0648\u062f \u0627\u0644\u0641\u0636\u0644 \u0645\u0624\u064a\u062f \u0639\u0628\u062f \u0627\u0644\u062d\u0633\u0646 <strong>\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0648\u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627 \u0641\u064a \u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0623\u0639\u0645\u0627\u0644 <\/strong> \u0645\u0624\u0633\u0633\u0629 \u0627\u0644\u0648\u0631\u0627\u0642 \u0644\u0644\u0646\u0634\u0631 \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639 \u0627\u0644\u0627\u0631\u062f\u0646 \/ \u0639\u0645\u0627\u0646 2004 \u0645<\/p>\n<p style=\"text-align: justify;\">3 &#8211; \u0627\u0644\u0628\u0634\u0628\u064a\u0634\u064a \u062d\u0644\u0645\u064a \u0639\u0628\u062f \u0627\u0644\u0641\u062a\u0627\u062d \u0648\u0637\u0647 \u0627\u0644\u0637\u0627\u0647\u0631 \u0625\u0633\u0645\u0627\u0639\u064a\u0644 \u0648\u0633\u064a\u062f \u0623\u062d\u0645\u062f \u0639\u0628\u062f \u0627\u0644\u0639\u0627\u0637\u064a <strong>\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u0645\u062d\u0627\u0633\u0628\u0629 <\/strong>\u0627\u0644\u0642\u0627\u0647\u0631\u0629 \u060c \u0645\u0631\u0643\u0632 \u0643\u0645\u0628\u064a\u0648\u062a\u0631 \u0643\u0644\u064a\u0629 \u0627\u0644\u0635\u064a\u062f\u0644\u0629 1993 \u0645 .<\/p>\n<p style=\"text-align: justify;\">4 &#8211; \u0627\u0644\u0645\u0639\u0632\u0627\u0648\u064a \u060c \u0639\u0644\u064a \u0639\u0628\u062f \u0627\u0644\u0633\u0644\u0627\u0645 <strong>\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0627\u0644\u0627\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a \u0648\u0627\u0644\u0625\u0646\u062a\u0627\u062c \u0648\u0627\u0644\u0646\u0642\u0644 \u0648\u0627\u0644\u062a\u062e\u0632\u064a\u0646 <\/strong> \u0627\u0644\u0642\u0627\u0647\u0631\u0629 \u060c \u062f\u0627\u0631 \u0627\u0644\u0634\u0631\u0648\u0642 \u0644\u0644\u0646\u0634\u0631 1991\u0645 .<\/p>\n<p style=\"text-align: justify;\">5 &#8211; \u0628\u0627\u0631\u064a \u0631\u0646\u062f\u0631 \u0631\u0627\u0644\u0641 \u0633\u062a\u064a\u0631 \u0646\u0627\u062c\u0631\u0627\u0646\u062c \u0628\u0627\u0644\u0627\u0643\u0631\u064a\u0634\u0627\u0646 \u062a\u0639\u0631\u064a\u0628 \u0645\u0635\u0637\u0641\u064a \u0645\u0648\u0633\u064a \u062a\u0642\u062f\u064a\u0645 \u064a\u062d\u064a \u0639\u0628\u062f \u0627\u0644\u0633\u0644\u0627\u0645 <strong> \u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0642\u0631\u0627\u0631\u062a \u0648\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0635\u0641\u062d\u0627\u062a \u0627\u0644\u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u0644\u0627\u0644\u0643\u062a\u0631\u0648\u0646\u064a\u0629 ( \u0639\u0644\u064a \u0627\u0644\u062d\u0627\u064a\u0628 \u0627\u0644\u0627\u0644\u064a )<\/strong> \u062f\u0627\u0631 \u0627\u0644\u0645\u0631\u064a\u062e \u0644\u0644\u0646\u0634\u0631<\/p>\n<p style=\"text-align: justify;\">6 &#8211; \u062c\u0647\u0627\u062f \u0635\u0628\u0627\u062d \u0628\u0646\u064a \u0647\u0627\u0646\u064a \u060c \u0646\u0627\u0632\u0645 \u0645\u062d\u0645\u0648\u062f \u0645\u0644\u0643\u0627\u0648\u064a \u060c \u0641\u0627\u0644\u062d \u0639\u0628\u062f \u0627\u0644\u0642\u0627\u062f\u0631 \u0627\u0644\u062d\u0648\u0631\u064a <strong>\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0641\u064a \u0625\u062f\u0627\u0631\u0629 \u0627\u0644\u0623\u0639\u0645\u0627\u0644 <\/strong> \u062f\u0627\u0631 \u0627\u0644\u062d\u0627\u0645\u062f \u0644\u0644\u0646\u0634\u0631 \u0627\u0644\u0627\u0631\u062f\u0646 \/ \u0639\u0645\u0627\u0646 \u0627\u0644\u0637\u0628\u0639\u0629 \u0627\u0644\u0627\u0648\u0644\u064a 2013 \u0645 .<\/p>\n<p style=\"text-align: justify;\">7 &#8211; \u062c\u0648\u0646 \u0648\u0627\u0643\u064a\u0646\u064a\u0627\u062e \u0628\u0631\u0627\u064a\u0627\u0646 \u0627\u0628\u0632\u0631\u062f\u0627\u0647\u0644 \u062a\u0631\u062c\u0645\u0629 \u062e\u0627\u0644\u062f \u0627\u0644\u0639\u0627\u0645\u0631\u064a <strong>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0623\u0643\u0633\u0644 <\/strong>\u062f\u0627\u0631 \u0627\u0644\u0641\u0627\u0631\u0648\u0642 \u0644\u0644\u0646\u0634\u0631 2002 \u0645 .<\/p>\n<p style=\"text-align: justify;\">8 &#8211; \u062d\u0633\u064a\u0646 \u060c \u0623\u062d\u0645\u062f \u062d\u0633\u064a\u0646 \u0639\u0644\u064a \u0648\u0645\u0646\u064a \u0631\u0632\u0642 \u0627\u0644\u0633\u0648\u0627\u062a\u0631\u064a <strong>\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u0645\u062d\u0627\u0633\u0628\u0629 \u0645\u062f\u062e\u0644 \u0645\u0639\u0627\u0635\u0631 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062d\u0627\u0633\u0628 \u0627\u0644\u0627\u0644\u064a <\/strong> \u0627\u0644\u0627\u0633\u0643\u0646\u062f\u0631\u064a\u0629 \u2013 \u0627\u0644\u062f\u0627\u0631 \u0627\u0644\u062c\u0627\u0645\u0639\u064a\u0629 2002 \u0645 .<\/p>\n<p style=\"text-align: justify;\">9 &#8211; \u062d\u0627\u0645\u062f \u0633\u0639\u062f <strong>\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0645\u0641\u0647\u0648\u0645\u0647\u0627 \u0648\u062a\u0637\u0628\u064a\u0642\u0647\u0627 <\/strong>\u0645\u0643\u062a\u0628\u0629 \u0627\u0644\u0632\u0627\u0643\u0631\u0629 &#8211; \u0628\u063a\u062f\u0627\u062f \u0627\u0644\u0637\u0628\u0639\u0629 \u0627\u0644\u0627\u0648\u0644\u064a 2015 \u0645 .<\/p>\n<p style=\"text-align: justify;\">10- \u062f\u0644\u0627\u0644 \u0635\u0627\u062f\u0642 \u0628\u0637\u0631\u0633 <strong>\u0645\u062f\u062e\u0644 \u062a\u062d\u0644\u064a\u0644\u064a \u0641\u064a \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 <\/strong> \u0627\u0644\u0642\u0627\u0647\u0631\u0629 \u2013 \u062f\u0627\u0631 \u0627\u0644\u0646\u0647\u0636\u0629 \u0627\u0644\u0639\u0631\u0628\u064a\u0629 .<\/p>\n<p style=\"text-align: justify;\">11 &#8211; \u0631\u062a\u0634\u0627\u0631\u062f \u0628\u0631\u0648\u0646\u0633\u0648\u0646 <strong>\u0633\u0644\u0633\u0644\u0629 \u0645\u0644\u062e\u0635\u0627\u062a \u0634\u0648\u0645 \u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a <\/strong>\u0627\u0644\u0642\u0627\u0647\u0631\u0629 \u2013 \u0627\u0644\u062f\u0627\u0631 \u0627\u0644\u062f\u0648\u0644\u064a\u0629 \u0644\u0644\u0625\u0633\u062a\u062b\u0645\u0627\u0631\u0627\u062a \u0627\u0644\u0637\u0628\u0639\u0629 \u0627\u0644\u062b\u0627\u0644\u062b\u0629 2011 \u0645 .<\/p>\n<p style=\"text-align: justify;\">12 &#8211; \u0634\u0631\u064a\u0641 \u0627\u0644\u0634\u0627\u0641\u0639\u064a <strong>\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0625\u0643\u0633\u0644 <\/strong>\u0627\u0644\u0642\u0627\u0647\u0631\u0629 \u2013 \u062f\u0627\u0631 \u0627\u0644\u0643\u062a\u0628 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0644\u0644\u0646\u0634\u0631 \u0648\u0627\u0644\u062a\u0648\u0632\u064a\u0639<\/p>\n<p style=\"text-align: justify;\">13 &#8211; \u0644\u0637\u0641\u064a \u0644\u0648\u064a\u0632 \u0633\u064a\u0641\u064a\u0646 <strong>\u0645\u0648\u0633\u0648\u0639\u0629 \u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062e\u0637\u064a\u0629 <\/strong> \u0627\u0644\u0627\u0633\u0643\u0646\u062f\u0631\u064a\u0629 \u2013 \u062f\u0627\u0631 \u0627\u0644\u062c\u0627\u0645\u0639\u0627\u062a \u0627\u0644\u0645\u0635\u0631\u064a\u0629<\/p>\n<p style=\"text-align: justify;\">14 &#8211; \u0645\u062f\u062d\u062a \u0639\u0628\u062f \u0627\u0644\u0639\u0627\u0644 <strong>\u0645\u0647\u0627\u0631\u0627\u062a \u0627\u0644\u0625\u062f\u0627\u0631\u0629 \u0641\u064a \u0627\u0644\u0625\u062d\u0635\u0627\u0621 \u0648\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a <\/strong>\u062c\u0627\u0645\u0639\u0629 \u0639\u064a\u0646 \u0634\u0645\u0633<\/p>\n<p style=\"text-align: justify;\">15 &#8211; \u0645\u062d\u0645\u062f \u0639\u0628\u062f \u0627\u0644\u0639\u0627\u0644 \u0627\u0644\u0646\u0639\u064a\u0645\u064a \u0648\u0627\u062e\u0631\u0648\u0646 <strong>\u0645\u0642\u062f\u0645\u0629 \u0641\u064a \u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a <\/strong> \u0639\u0645\u0627\u0646 \u2013 \u062f\u0627\u0631 \u0648\u0627\u0626\u0644 \u0644\u0644\u0646\u0634\u0631\u0639\u0645\u0627\u0646 1999\u0645 .<\/p>\n<p style=\"text-align: justify;\">16 &#8211; \u0639\u062f\u0646\u0627\u0646 \u0645\u0627\u062c\u062f \u0639\u0628\u062f \u0627\u0644\u0631\u062d\u0645\u0646 <strong>\u0637\u0631\u0642 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u0641\u064a \u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0644\u062a \u0627\u0644\u0639\u062f\u062f\u064a\u0629 <\/strong>\u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0645\u0644\u0643 \u0633\u0639\u0648\u062f \u0642\u0633\u0645 \u0627\u0644\u0627\u062d\u0635\u0627\u0621 \u0648\u0628\u062d\u0648\u062b \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a &#8211; \u0637\u0628\u0639\u0629 \u0631\u062c\u0628 1423 \u0647\u0640 &#8211; \u0633\u0628\u062a\u0645\u0628\u0631 2002 \u0645 .<\/p>\n<p style=\"text-align: justify;\">17- \u0639\u0628\u062f \u0627\u0644\u0639\u0632\u064a\u0632 \u0645\u0635\u0637\u0641\u064a \u0639\u0628\u062f \u0627\u0644\u0643\u0631\u064a\u0645 \u0627\u0644\u062a\u0645\u064a\u0645\u064a \u060c \u0637\u0627\u0647\u0631 \u062c\u0627\u0633\u0645 <strong>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0645\u0646 \u0645\u0639\u0627\u064a\u0631 \u062a\u0642\u064a\u0645 \u0627\u0644\u0645\u0634\u0627\u0631\u064a\u0639 \u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f\u064a\u0629 <\/strong> \u0645\u062c\u0644\u0629 \u0623\u0641\u0627\u0642 \u0627\u0644\u0625\u0642\u062a\u0635\u0627\u062f\u064a\u0629 \u0627\u0644\u0639\u062f\u062f &#8221; 16 &#8221; 1983 \u0645 .<\/p>\n<p style=\"text-align: justify;\">18 \u2013 \u0645\u062c\u0644\u0629 \u0623\u0633\u062a\u0627\u0631 <strong>\u062a\u062d\u062f\u064a\u062f \u0645\u0634\u0643\u0644\u0629 \u0648\u062d\u0644\u0647\u0627 \u0628\u0627\u0644\u0625\u0643\u0633\u0644 <\/strong>1983 \u0645 .<\/p>\n<p style=\"text-align: justify;\"><strong>\u0627\u0644\u0645\u0631\u0627\u062c\u0639 \u0627\u0644\u0627\u062c\u0646\u0628\u064a\u0629 <\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">1- Krajewski L. J. &amp; L. P. Ritz man <strong>Operation Management<\/strong>, .McGraw Hall, New York, 2002<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">.2- Stevenson W. J <strong>Production Operation Management<\/strong>, McGraw , .Irwin New York, 199,.<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">-3 Anderson D. R <strong>An Introduction to Management Science<\/strong>, Ohio , South-Western, 2003<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\">&#8211; 4 Rarlin, R. C <strong>Optimization In Operations Research<\/strong>,P.E. India ,.1998<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\"><strong> -5<\/strong>Caine, D. J. and Parker B. J<strong>. &#8220;Linear programming comes of age<\/strong>:<strong> a decision support tool for every &#8221; <\/strong>.Journal of Management Decision. London :1996. Vol. 34 Iss. 4 : p 46<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\"><a id=\"post-13354-_ftn4\"><\/a> <strong> -6<\/strong> Zolfe A. F. Shalby &#8220;<strong>Solving linear programming models by spreadsheet software packages<\/strong>&#8221; Journal of faculty Economics and Administrative. King Abdul-Aziz University, Jeddah. :2000. Vol. 14. No. 2 p 4.<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\"><a id=\"post-13354-_ftn5\"><\/a><strong>-7<\/strong> Vijay G. <strong>&#8221; Financial analysis using Excel<\/strong> &#8221; VJ books Inc, Canada . 2002. p 227<\/p>\n<p dir=\"ltr\" style=\"text-align: justify;\"><a id=\"post-13354-_ftn6\"><\/a><strong>-8 <\/strong> Donald L. H. and James F. H. &#8220;<strong>Data , Statistics, and Decision Models with EXCEL<\/strong>&#8221; John Wily Sons, Inc. New York , 1998 . p 510.<\/p>","protected":false},"excerpt":{"rendered":"<p>\u0645\u0642\u062f\u0645\u0629 :Introduction \u062a\u0639\u062a\u0628\u0631 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0629 \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0636\u0645\u0646\u0647\u0627 \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a \u062d\u064a\u062b \u0631\u0643\u0632\u062a \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0639\u0644\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0645\u0627\u0630\u062c \u0627\u0644\u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0635\u0646\u0627\u0639\u064a \u0648\u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646\u0647\u0627 \u0641\u064a [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_joinchat":[],"footnotes":""},"class_list":["post-13354","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/pages\/13354","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/comments?post=13354"}],"version-history":[{"count":2,"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/pages\/13354\/revisions"}],"predecessor-version":[{"id":13433,"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/pages\/13354\/revisions\/13433"}],"wp:attachment":[{"href":"https:\/\/www.hnjournal.net\/en\/wp-json\/wp\/v2\/media?parent=13354"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}