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The company would like to feed the dog at minimum cost while also ensuring each dog receives an adequate supply of calories and nutrients. The

The company would like to feed the dog at minimum cost while also ensuring each dog receives an adequate supply of calories and nutrients. The cost, calorie content, and nutrient content of each feed is as follows:

Contents

Dog 1

Dog 2

Calories (per pound)

800

1,000

Nutrients (per pound)

140 units

70 units

Cost (per pound)

$0.40

$0.80

Each dog requires a minimum of 8,000 calories per day and at least 700 units of nutrients. A further constraint is that no more than 1/3 of the diet (by weight) can consist of Dog 1, since it contains an ingredient that can be toxic if consumed in too large of a quantity.

Use linear programming

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