A farmer in Wood County has 900 acres of land. She is going to plant each acre with corn, soybeans, or wheat. Each acre planted with corn yields a $2000 profit; each with soybeans yields a $2,500 profit; and each with wheat yields a $3,000 profit. She has 100 workers and 150 tons of fertilizer. The table below shows the requirement per acre of each of the crops. Assuming a linear relationship, use Excel Solver to determine the optimal planting mix of corn, soybeans, and wheat to maximize her profits. Corn Soybeans Wheat Labor(workers) 0.1 0.3 0.2 Fertilizer(tons) 0.2 0.1 0.4

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A farmer in Wood County has 900 acres of land. She is going to plant each acre with corn, soybeans, or wheat. Each acre planted with corn yields a $2000 profit; each with soybeans yields a $2,500 profit; and each with wheat yields a $3,000 profit. She has 100 workers and 150 tons of fertilizer. The table below shows the requirement per acre of each of the crops. Assuming a linear relationship, use Excel Solver to determine the optimal planting mix of corn, soybeans, and wheat to maximize her profits.

Corn Soybeans Wheat

Labor(workers) 0.1 0.3 0.2

Fertilizer(tons) 0.2 0.1 0.4

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