A farmer has 1000 acre of land on which he can grow corn, wheatand soyabeans. Each acre of corn cost Rs. 100 for preparation,requires 7 man days of work and yields a profit of Rs. 30. An acreof wheat cost Rs. 120 for preparation, requires 10 man days of workand yields a profit of Rs. 40. An acre of soyabeans cost Rs. 70 toprepare, requires 8 man days of work and yields a profit of Rs,200. If the farmer has Rs. 1, 00,000 for preparation and count on8000man days of work, how many acres should be allocated to eachcrop to maximise profit. (Use Simplex Method) Discuss theprofitability of different alternatives.
