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? crop A acres crop B acres What is the optimal profit? $
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? crop A acres crop B acres What is the optimal profit? $
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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?
| crop A | acres |
| crop B | acres |
What is the optimal profit?
$
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