In: Advanced Math
A farmer has 150 acres of land suitable for cultivating Crops A and B. The cost of cultivating Crop A is $40/acre, and 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. He has also decided that he will cultivate at least 80 acres of Crop A. If he expects to make a profit of $180/acre on Crop A and $200/acre on Crop B, how many acres of each crop should he plant to maximize his profit?
Crop A | acres |
Crop B | acres |
What is the maximum profit?
$