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 $100/acre on crop A and $140/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?

__________ acres of crop A, __________ acres of crop B

What is the optimal profit? $ __________

Question

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 $100/acre on crop A and $140/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?
​
__________ acres of crop A, __________ acres of crop B
​
What is the optimal profit? $ __________

Quizplus · Accepted Answer

The Answer of 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 $100/acre on crop A and $140/acre on crop B, how many acres of each crop should he plant in order to maximize his profit?
​
__________ acres of crop A, __________ acres of crop B
​
What is the optimal profit? $ __________

A Farmer Plans to Plant Two Crops, a and B