A farmer has 1000 acre of land on which he can grow corn, wheat and soyabeans. Each acre of corn cost Rs. 100 for preparation, requires 7 man days of work and yields a profit of Rs. 30. An acre of wheat cost Rs. 120 for preparation, requires 10 man days of work and yields a profit of Rs. 40. An acre of soyabeans cost Rs. 70 to prepare, 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 on 8000man days of work, how many acres should be allocated to each crop to maximise profit. (Use Simplex Method) Discuss the profitability of different alternatives.