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 $210/acre on Crop B, how many acres of each crop should she plant in order to maximize her profit? Decision Variables Objective Function Constraints Use the method of corners - Include a sketch of the feasible region.
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 $210/acre on Crop B, how many acres of each crop should she plant in order to maximize her profit? Decision Variables Objective Function Constraints Use the method of corners - Include a sketch of the feasible region.
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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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 $210/acre on Crop B, how many acres of each crop should she plant in order to maximize her profit? Decision Variables Objective Function Constraints Use the method of corners - Include a sketch of the feasible region.
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