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A Pork Producer Is Considering Two Types of Feed That

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A pork producer is considering two types of feed that contain the necessary ingredients for the nutritional requirements for fattening hogs. Brand X contains 2 units of ingredient A per pound and 15 units of ingredient B per pound, Brand Y contains 15 units of ingredient A per pound and 2 units of ingredient B per pound. The nutritional requirements for the hogs are at least 120 units of ingredient A and at least ​237 units of ingredient B. If brand X costs 65 cents per pound and brand Y costs 80 cents per pound, how many pounds of each brand should be bought to satisfy the nutritional requirements at minimum cost? ​


Definitions:

Psychological Dependence

A form of dependence that involves emotional-motivational withdrawal symptoms upon cessation of drug use or behavior.

Therapeutic Uses

The application of treatments or medications aimed at curing, alleviating, or preventing diseases and disorders to improve the patient's health and quality of life.

Diuretics

Medications designed to increase urine production, aiding in removing excess fluid from the body.

Mannitol

A type of sugar alcohol used as a medication to reduce pressure in the brain, treat or prevent kidney failure, and as a diuretic.

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