Question: Formulate the following problem (do not solve) by a. Define the decision variables. b. Specify the objective function. c. Specify the constraints and simplify them

Formulate the following problem (do not solve) by

Formulate the following problem (do not solve) by a. Define the decision variables. b. Specify the objective function. c. Specify the constraints and simplify them so that the left hand side of each constraint only contains terms involving the decision variables. Ms. Haddox, the dietitian for the Senora General Hospital, is responsible for planning and managing food requirements for patients. Ms. Haddox is currently examining a case in which a patient is restricted to a special diet that consists of two food sources. The patient is not restricted in the quantity of the two foods consumed; however, the following minimum nutritional requirements must be met per day: 1000 units of nutrient A, 2000 units of nutrient B, and 1500 units of nutrient C. Each ounce of food source #1 contains 100 units of nutrient A, 400 units of nutrient B, and 200 units of nutrient C. Each ounce of food source #2 contains 200 units of nutrient A, 250 units of B, and 200 units of C. Both food sources are rather expensive: food source #1 costs $6.00 per pound and food source #2 costs $8.00 per pound (1lb=16 ounces). Ms. Haddox desires to determine the minimal cost combination of the food sources that will meet nutrition requirements

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