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Linear Programming Problem - Maximization

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Food and clothing are shipped to Victims of a natural disaster. Each carton of food will feed 13 people while each carton of clothing will help 6 people. Each 20 cubic foot box of food weighs 40 pounds and each 5 cubic foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints. The first constraint is the total weight per carrier can not exceed 21,000 pounds. the Second constraint is the total volume must be no more than 6,000 cubic feet.

How many cartons of food and clothing should be sent with each plane shipments to maximize the number of people who can be helped?

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Solution Summary

Graph of constraint equations shown and the optimum values determined.

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Let x cartons of food and y cartons of clothing be shipped. The objective ...

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