A farmer plans to plant two crops, A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $45/acre. The farmer has a maximum of $3750 available for land cultivation. Each acre...

A farmer plans to plant two crops, A and B. The cost of cultivating crop A is $30/acre, whereas that of crop B is $45/acre. The farmer has a maximum of $3750 available for land cultivation. Each acre of crop A requires 16 labor-hours, and each acre of crop B requires 20 labor-hours. The farmer has a maximum of 1840 labor-hours available. If she expects to make a profit of $135/acre on crop A and $180/acre on crop B, how many acres of each crop should she plant in order to maximize her profit?

What is the optimal profit?
$