\u00ab A given farmer can grow wheat, sugar beet and barley. He has 100 ha and must determine the area dedicated to each crop, knowing that he wants to maximize his income. The fixed costs of his farm amount to 30500\u20ac allocated monthly. His initial liquid assets amount to 20000\u20ac. Every month he withdraws 2000\u20ac for his personal income.<\/em><\/p>\n His monthly costs per crop (phytosanitary products, material, fuel, maintenance, and fertilizer) are as follows :<\/em><\/p>\n Wheat and barley are sold the month following the harvest (M8), in September (M9) at the price of 17\u20ac\/q and 14\u20ac\/q, respectively. Sugar beet is grown under contract and the payment is made in December at 38\u20ac\/t.<\/em><\/p>\n Yields for wheat, sugar beet and barley are 70g\/ha, 50q\/ha and 72q\/ha, respectively.<\/em><\/p>\n The farmer can borrow money from the bank on a monthly basis at an annual interest rate tx of 12%..\u00a0\u00bb<\/em><\/p>\n\n\n
\n Monthly costs per crop (\u20ac)<\/td>\n<\/tr>\n \n Month<\/td>\n M1<\/td>\n M2<\/td>\n M3<\/td>\n M4<\/td>\n M5<\/td>\n M6<\/td>\n M7<\/td>\n M8<\/td>\n M9<\/td>\n M10<\/td>\n M11<\/td>\n M12<\/td>\n<\/tr>\n \n Wheat<\/td>\n 0<\/td>\n 10<\/td>\n 130<\/td>\n 90<\/td>\n 10<\/td>\n 10<\/td>\n 0<\/td>\n 210<\/td>\n 0<\/td>\n 110<\/td>\n 0<\/td>\n 0<\/td>\n<\/tr>\n \n sugar beet<\/td>\n 0<\/td>\n 0<\/td>\n 10<\/td>\n 330<\/td>\n 30<\/td>\n 10<\/td>\n 10<\/td>\n 0<\/td>\n 110<\/td>\n 370<\/td>\n 10<\/td>\n 15<\/td>\n<\/tr>\n \n Barley<\/td>\n 0<\/td>\n 10<\/td>\n 130<\/td>\n 90<\/td>\n 10<\/td>\n 10<\/td>\n 0<\/td>\n 200<\/td>\n 0<\/td>\n 110<\/td>\n 0<\/td>\n 0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n i. Answer the questions concerning the analysis of the solution\u00a0<\/strong>\u00a0<\/strong>
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