How many acres of each crop should the farmer plant if he utilizes all resources?

Anonymous
timer Asked: Dec 1st, 2015
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Question Description

 A farmer has 400 acres available for cultivating crops A, B, and C. He has a total of $11,200 for cultivation costs and a maximum of 13,200 hours of labor available. For each acre, the cost and labor required for cultivation are as follows: crop A, $30 and 20 hours; crop B, $40 and 30 hours; and crop C, $20 and 40 hours. How many acres of each crop should the farmer plant if he wishes to utilize all his resources?

Tutor Answer

JamesM847
School: Purdue University

Thank you for the opportunity to help you with your question!

A+B+C=400

30A+40B+20C=11200

20A+30B+40C = 13200 

A=80, B=120, C=200

Please let me know if you need any clarification. I'm always happy to answer your questions.

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Review

Anonymous
awesome work thanks

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