SOLUTION: 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 availab

Algebra.Com
Question 726559: 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 $190/acre on Crop B, how many acres of each crop, x and y, respectively, should she plant in order to maximize her profit?
(x, y) =



What is the optimal profit?
$

Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS

Formulate but do not solve the following exercise as a linear programming problem. A (answered by stanbon)
Formulate but do not solve the following exercise as a linear programming problem. A... (answered by solver91311)
Formulate a system of equations for the situation below and solve. The Johnson Farm... (answered by richwmiller)
A farmer has 1000 acres of land on which he plans to grow corn, wheat, and soybeans. The (answered by ankor@dixie-net.com)
A farmer has 200 acres of land suitable for cultivating crops A, B and C. The cost per... (answered by Theo)
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost... (answered by addingup)
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost... (answered by ikleyn)
A farmer has 200 hectares of land suitable for cultivating crops A, B, and C. The cost... (answered by mananth)
1. formulate but DO NOT solve the problem. the johnson farm has 600 acres of lad... (answered by lynnlo)