In: Statistics and Probability
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
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