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

Mathematics
Tutor: None Selected Time limit: 1 Day

 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?

Dec 1st, 2015

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.
Dec 1st, 2015

How did you come up with your answers, A, B & C?

Dec 1st, 2015

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