Question: Q 2). Command Area development authority in the command of river X desires to find out the optimal cropping pattern in the area. Total available

Q 2). Command Area development authority in the command of river X desires to find out the optimal cropping pattern in the area. Total available land is 25 thousand hectares. The following crops can be grown
Water consumption in acre feet/acre Expected profit per acre ( in
Wheat 9 2000
Maize 6 1500
Jowar 6.5 1200
It is felt that we cannot use more than 50% of the available land for wheat. Available water is 50000 acre feet. At least 20% of the land must be devoted to maize. To ensure balanced development of various crops the ratio of land devoted to wheat and jowar should not be more than 3:2. Formulate the Linear programming problem and estimate the maximum total profit

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