10. 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 $2,000 profit; each with soybeans yields $2,500 profit; and each with wheat yields $3,000 profit. She has 100 workers and 150 tons of fertilizer. The following table 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. Labor (workers) Fertilizer (tons) Corn 0.1 0.2 Soybeans 0.3 0.1 Wheat 0.2 0.4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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10. 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 $2,000 profit; each with
soybeans yields $2,500 profit; and each with wheat yields $3,000 profit. She has 100
workers and 150 tons of fertilizer. The following table 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.
Labor (workers)
Fertilizer (tons)
Corn
0.1
0.2
Soybeans
0.3
0.1
Wheat
0.2
0.4
Transcribed Image Text:10. 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 $2,000 profit; each with soybeans yields $2,500 profit; and each with wheat yields $3,000 profit. She has 100 workers and 150 tons of fertilizer. The following table 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. Labor (workers) Fertilizer (tons) Corn 0.1 0.2 Soybeans 0.3 0.1 Wheat 0.2 0.4
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