A farmer has 150 acres of land suitable for cultivating Crops A and B. The cost of cultivating Crop A is $40/acre, and 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. He has also decided that he will cultivate at least 80 acres of Crop A. If he expects to make a profit of $120/acre on Crop A and $200/acre on Crop B, how many acres of each crop should he plant to maximize his profit? Crop A Crop B (No Response) acres (No Response) acres What is the maximum profit? $(No Response)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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A farmer has 150 acres of land suitable for
cultivating Crops A and B. The cost of
cultivating Crop A is $40/acre, and 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. He has also decided that he will
cultivate at least 80 acres of Crop A. If he
expects to make a profit of $120/acre on
Crop A and $200/acre on Crop B, how
many acres of each crop should he plant to
maximize his profit?
Crop A
Crop B
(No Response) acres
(No Response) acres
What is the maximum profit?
$(No Response)
Transcribed Image Text:A farmer has 150 acres of land suitable for cultivating Crops A and B. The cost of cultivating Crop A is $40/acre, and 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. He has also decided that he will cultivate at least 80 acres of Crop A. If he expects to make a profit of $120/acre on Crop A and $200/acre on Crop B, how many acres of each crop should he plant to maximize his profit? Crop A Crop B (No Response) acres (No Response) acres What is the maximum profit? $(No Response)
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