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Please just show the setup of the linear programming problem, do not solve A farmer owns 500 acres of land, which is suitable for growing

Please just show the setup of the linear programming problem, do not solve

A farmer owns 500 acres of land, which is suitable for growing corn, soybeans, and sunflowers. His expectations are that the net profit from producing each crop is $55 per acre for corn, $60 per acre for soybeans, and $50 per acre for sunflowers. He and his family can supply 3,000 hours per year in performing all the farm operations necessary to grow these crops. In addition, he is endowed with the equivalent of 4,500 hours of tractor time necessary to grow these crops. Assume that the only resources necessary in crop production are land, labor, and tractor time.

Resource (Unit) Corn Soybeans Sunflowers Endowment

Land (acres) 1.0 1.0 1.0 500

Labor (hours) .4 .2 .3 3000

Tractor (hours) .5 .2 .4 4500

Assume that the factory's sole objective is to minimize the total cost of reducing emis- sions of these three pollutants to the new government standards by using any combina- tion of the six pollution abatement techniques.

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