Formulate but do not solve the following exercise as a linear programming problem. A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $30/acre, whereas the cost of cultivating Crop B is $70/acre. The farmer has a maximum of $7,500 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 3,200 labor-hours available. If she expects to make a profit of $160/acre on Crop A and $230/acre on Crop B, how many acres of each crop, x and y respectively, should she plant to maximize her profit P in dollars? MaximizeP= subject to the constraints cost
Formulate but do not solve the following exercise as a linear programming problem. A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $30/acre, whereas the cost of cultivating Crop B is $70/acre. The farmer has a maximum of $7,500 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 3,200 labor-hours available. If she expects to make a profit of $160/acre on Crop A and $230/acre on Crop B, how many acres of each crop, x and y respectively, should she plant to maximize her profit P in dollars? MaximizeP= subject to the constraints cost
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Formulate but do not solve the following exercise as a linear programming problem.
A farmer plans to plant two crops, A and B. The cost of cultivating Crop A is $30/acre, whereas the cost of cultivating Crop B is $70/acre. The farmer has a maximum of $7,500 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 3,200 labor-hours available. If she expects to make a profit of $160/acre on Crop A and $230/acre on Crop B, how many acres of each crop, x and y respectively, should she plant to maximize her profit P in dollars?
MaximizeP= subject to the constraints
cost
labor
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