A Farmer Plans to Plant Two Crops, a and B

Multiple Choice

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 $220/acre on crop A and $280/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?

A) 80 acres of crop A, 65 acres of crop B; optimal profit $44,200
B) 0 acres of crop A, 124 acres of crop B; optimal profit $34,720
C) 65 acres of crop A, 80 acres of crop B; optimal profit $36,700
D) 165 acres of crop A, 0 acres of crop B; optimal profit $36,300