Question

In: Statistics and Probability

A pet food wholesaler produces a dog food mixture that is sold to pet retail outlets...

A pet food wholesaler produces a dog food mixture that is sold to pet retail outlets in bags of 10 pounds each. The food mixture contains turkey and beef.

The cost per pound of each of these ingredients is as follows:

Ingredient                       Cost/pound
Turkey                            $2.00
Beef                                $5.50

Each bag must contain at least 5 pounds of turkey. Moreover, the ratio of turkey to beef must be at least 2 to 1.

The optimal mixture of the ingredients is:

Turkey: how many pounds? (Round your answer to the nearest pound)

Beef: how many pounds? (Round your answer to the nearest pound)

The total value of the optimal solution is $  per bag of dog

Using Linear Programming, please write out the constraint

Solutions

Expert Solution

Formulation of Linear programming problem:

T=Turkey

B=Beef

Subject to

with constraint

,

The optimal mixture of the ingredients is:

Turkey: how many pounds? (Round your answer to the nearest pound)

Turkey is 10 pounds

Beef: how many pounds? (Round your answer to the nearest pound)

Beef is 0 pounds

The total value of the optimal solution is $ 20 per bag of dog

orchestra answered 2 years ago
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