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[Step-by-Step] A campus dietitian for a college wants to formulate a nutritious meal plan for students. She wants to satisfy the following requirements: -

Question: A campus dietitian for a college wants to formulate a nutritious meal plan for students. She wants to satisfy the following requirements:

- at least 2250 calories

- at most 2750 calories

- no more than 65 grams of fat

- at least 30 grams of protein

- no more than 80 grams of carbohydrates.

On a particular day, her food stock includes five items that can be prepared and served to meet these requirements. The cost per pound for each food item and the contribution to each of the four nutritional requirements are given in the table below.

Food Calories
/pound 		Fat
GM/pound 		Protein GM/pound Carbohydrates GM/pound Cost
Dollars/pound
Chicken 380 10.2 70 0 1.60
Fish 350 1.5 80 0 3.50
Lentils 115 1.2 12 35 0.75
Kale 110 1.1 12 22 2.20
Potatoes 320 0.8 6 75 0.50

Formulate a linear programming model that meets these restrictions and minimizes the total cost of the meal by determining

  1. The decision variables. (Hint: There are 5 decision variables)
  2. The objective function. What does it represent?
  3. All the constraints. Briefly describe what each constraint represents.(Hint: There are 5 constraints in addition to non-negativity constraints)

Note: Do NOT solve the problem after formulating.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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