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) Decision for corn Decision for soybeans Decision for wheat Total profit CORN 0.3 0.4 Labor (workers) Fertilizer (tons) Acres Planted 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.) SOYBEANS 0.8 0.5 Resources Used WHEAT 0.5 0.1
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) Decision for corn Decision for soybeans Decision for wheat Total profit CORN 0.3 0.4 Labor (workers) Fertilizer (tons) Acres Planted 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.) SOYBEANS 0.8 0.5 Resources Used WHEAT 0.5 0.1
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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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.
Labor (workers)
Fertilizer (tons)
Decision for corn
Decision for soybeans
Decision for wheat
Total profit
CORN
0.3
0.4
Labor (workers)
Fertilizer (tons)
Acres Planted
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.)
SOYBEANS
0.8
0.5
Resources
Used
WHEAT
0.5
0.1
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