### Formulate a linear programming model

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A wealthy farmer owns fifty acres of land. He is going to plant each acre with sugarcane or corn. Each acre planted with sugarcane yields Rs 16,000 profit; each with corn yields Rs 8,000 profit.

Labor (workers): sugarcane=5 corn=3
Fertilizer (tons): sugarcane=6 corn =2
150 workers are available, 200 tons of fertilizer are available

A) formulate a linear programming model that will enable the farmer to determine th number of acres where sugarcane and/or corn should be planted in order to maximize profit from his land. (using ALL 50 acres, but not all workers or fertilizers.

B) Make a graph of solution and determine the maximum profit. Show isoprofit lines and identify corner points and feasible region.

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