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# Woofer Pet Foods produces a low-calorie dog food for overweight dogs.

Woofer Pet Foods produces a low-calorie dog food for overweight dogs. This product is made from beef products and grain. Each pound of beef costs \$0.90, and each pound of grain costs \$0.60. A pound of the dog food must contain at least 9 units of Vitamin 1 and 10 units of Vitamin 2. A pound of beef contains 10 units of Vitamin 1 and 12 units of Vitamin 2. A pound of grain contains 6 units of Vitamin 1 and 9 units of Vitamin 2. Formulate this as an LP problem to minimize the cost of the dog food.
What is the vitamin 1 content of the final product?

A.0.25
B.0.75
C.9
D.11.25
E. none of the above

What is the vitamin 2 content of the final product?
A.0.25
B.0.75
C.9
D.11.25
E. none of the above

#### Solution Preview

The objective function is to minimize z=0.9x+0.6y
The constraint is:
x+y=1 (This works for one pound of dog food)
10x+6y>=9 (This works for Vitamin 1)
12x+9y>=10 (This works for ...

#### Solution Summary

115 words shows how to find the vitamin content formulated as an LP problem.

\$2.19