Question

A farmer must decide how to allocate his 113 acres of land between​ corn, oats and wheat. It takes 2.3 hours per acre to harvest​ corn, 1.5 hours per acre to harvest oats and 1.9 hours per acre to harvest wheat. He can work up to 205 on the harvest. ​ Additionally, his water supply is limited to 600000 gallons per day and it takes 5300​, 6000 and 6920 gallons per day at their peak to water an acre of​ corn, oats and​ wheat, respectively. Each acre of corn generates ​$22 in​ profit, each acre of oats generates ​$26 and each acre of wheat generates ​$30.

If he wants to manage whole​ (not decimal/fractional)​ acres, what is the optimal​ allocation? ​(You may use​ Solver; provide integer values​) ​

Corn:  ​ Oat:   Wheat​:

What is the​ farmer's profit under this allocation. ​$ ___​/week ​ (Round to two decimal places as needed.​)

Answer 1

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