Kiran More, a farmer in India, has 20 acres of farming land to grow wheat and rice.

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Kiran More, a farmer in India, has 20 acres of farming land to grow wheat and rice. Kiran has a limited amount of money and can spend only $3,200 to plant the crops. The cost of planting an acre of wheat is $400, and the cost to plant an acre of rice is $200. Kiran wants to plant at least 10 acres and has to plant the crops within 24 hours. An acre of wheat takes two hours to plant, and an acre of rice 3 hours to plant. If the profit is $800 per acre of wheat and $600 per acre of rice and the objective is to maximize profits:

1. Formulate this problem as a linear programming problem.

2. Solve this problem using the graphical method, and provide the optimal solution values of all variables.

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Operations Management Managing Global Supply Chains

ISBN: 978-1506302935

1st edition

Authors: Ray R. Venkataraman, Jeffrey K. Pinto

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