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

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 $150/acre on crop A and $200/acre on crop B, how many acres of each crop should she plant to maximize her profit?

a.

70 acres of crop A and 75 acres of crop B
b.

57 acres of crop A and 90 acres of crop B
c.

65 acres of crop A and 80 acres of crop B
d.

50 acres of crop A and 100 acres of crop B
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