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A farmer plans to plant two crops, A and B. The cost of cultivating Crop A...

A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $40/acre whereas the cost of cultivating Crop B is $60/acre. The farmer has a maximum of $7400 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 3300 labor-hours available. If she expects to make a profit of $160/acre on Crop A and $180/acre on Crop B, how many acres of each crop, x and y, respectively, should she plant in order to maximize her profit?

(x, y) =

What is the optimal profit?
$

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