Chapter 5.5, Problem 31E

To determine

To calculate: The amount of ounce of each should ruff use in each bag of dog food to minimize cost and the shadow cost of protein and of fat and calculate the shadow cost of fat and protein. If chicken contains $10$ grams of protein and $5$ gram of fat per ounce. Whereas grain contains $2$ grams of protein and $2$ grams of fat per ounce. It is also provided that a bag of dog food must contain at least $200$ grams of protein and at least $150$ grams of fat and if chicken cost $10\not\subset$ per ounce and grain cost $1\not\subset$ per ounce.