A Farmer Plans to Plant Two Crops, a and B

Essay

A farmer plans to plant two crops, A and B. The cost of cultivating crop A is $40/acre, whereas that of crop B is $60/acre. The farmer has a maximum of $7,400 available for land cultivation. Each acre of crop A requires 20 labor-hours, and each acre of crop B requires 25 labor-hours. The farmer has a maximum of 3,300 labor-hours available. If he expects to make a profit of $100/acre on crop A and $140/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?
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__________ acres of crop A, __________ acres of crop B
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What is the optimal profit? $ __________