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A farmer is planning for the coming year. Three crops are being considered. These are wheat, soybeans, and corn. The farm has 250 acres for crops, and his family can commit to 600 days of labor to the farm. They also have only $25,000 to cover input costs. Table 1 gives the time requirement, input cost, income per bushel, and yield per acre for each of the three crops. Note: to keep their farm supplement, they have to plant as least 10 acres of corn.
Table
Income per bushel
Days per acre
Bushels per acre
Input Cost per acre
Corn
$2.50
3
140
$150
Soybeans
$5.00
4
80
$100
Wheat
$3.00
2
10
$140
Let C=number of acres of corn, S=number of acres of soybeans, W= number of acres of wheat.
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