A farmer in Wood County has 730 acres of land. She is going to plant each acre with corn, soybeans, or wheat. Each acre planted with corn yields a $2,600 profit; each with soybeans yields $3,300 profit; and each with wheat yields $1,600 profit. She has 465 workers and 365 tons of fertilizer. The table below shows the requirement per acre of each of the crops. Labor (workers) Fertilizer (tons) CORN 0.3 0.4 SOYBEANS 0.8 WHEAT 0.5 0.5 0.1 Assuming a linear relationship, use the Excel Solver to determine the optimal planting mix of corn, soybeans, and wheat to maximize her profits. In formulating your linear program, do NOT restrict the three decision variables to integer values. (However, round the final values of these decision variables to the nearest whole number when entering those answers. Use these rounded decision variable values to compute "Total Profit" and enter that answer to the nearest whole number. Lastly, also use the rounded decision variable values to compute the three "Resources Used" answers and enter them to the nearest whole number. Leave no cells blank – be certain to enter "O" wherever required.) Decision for corn Decision for soybeans Decision for wheat Total profit Resources Used Labor (workers) Fertilizer (tons) Acres Planted
A farmer in Wood County has 730 acres of land. She is going to plant each acre with corn, soybeans, or wheat. Each acre planted with corn yields a $2,600 profit; each with soybeans yields $3,300 profit; and each with wheat yields $1,600 profit. She has 465 workers and 365 tons of fertilizer. The table below shows the requirement per acre of each of the crops. Labor (workers) Fertilizer (tons) CORN 0.3 0.4 SOYBEANS 0.8 WHEAT 0.5 0.5 0.1 Assuming a linear relationship, use the Excel Solver to determine the optimal planting mix of corn, soybeans, and wheat to maximize her profits. In formulating your linear program, do NOT restrict the three decision variables to integer values. (However, round the final values of these decision variables to the nearest whole number when entering those answers. Use these rounded decision variable values to compute "Total Profit" and enter that answer to the nearest whole number. Lastly, also use the rounded decision variable values to compute the three "Resources Used" answers and enter them to the nearest whole number. Leave no cells blank – be certain to enter "O" wherever required.) Decision for corn Decision for soybeans Decision for wheat Total profit Resources Used Labor (workers) Fertilizer (tons) Acres Planted
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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Transcribed Image Text:A farmer in Wood County has 730 acres of land. She is going to plant each acre with corn, soybeans, or wheat. Each
acre planted with corn yields a $2,600 profit; each with soybeans yields $3,300 profit; and each with wheat yields
$1,600 profit. She has 465 workers and 365 tons of fertilizer. The table below shows the requirement per acre of
each of the crops.
CORN
SOYBEANS
WHEAT
Labor (workers)
Fertilizer (tons)
0.3
0.4
0.8
0.5
0.5
0.1
Assuming a linear relationship, use the Excel Solver to determine the optimal planting mix of corn, soybeans, and
wheat to maximize her profits. In formulating your linear program, do NOT restrict the three decision variables to
integer values. (However, round the final values of these decision variables to the nearest whole number when
entering those answers. Use these rounded decision variable values to compute "Total Profit" and enter that
answer to the nearest whole number. Lastly, also use the rounded decision variable values to compute the three
"Resources Used" answers and enter them to the nearest whole number. Leave no cells blank – be certain to
enter "0" wherever required.)
Decision for corn
Decision for soybeans
Decision for wheat
Total profit
Resources
Used
Labor (workers)
Fertilizer (tons)
Acres Planted
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