Question: The dietitian of Breathtakers wants to develop s breakfast that’s high in calories, calcium, protein, and fiber, but low in fat and cholesterol for senior citizens. She also wants to minimize cost. The dietitian wants the breakfast to include 420 calories, 5 milligrams of iron, 400 milligrams of calcium, 20 grams of protein, and 12 grams of fiber. She also wants to limit fat to 20 grams and cholesterol to 30 milligrams. Formulate the linear programming model, but do not solve.

Food Calories Fat Cholesterol Iron Calcium Protein Fiber Cost

1. Bran cereal cup 90 0 0 6 20 3 5 0.18

2. Dry cereal cup 110 2 0 4 48 4 2 0.22

3. Oatmeal cup 100 2 0 2 12 5 3 0.10

4. Oat bran cup 90 2 0 3 8 6 4 0.12

5. Egg 75 5 270 1 30 7 0 0.10

6. Bacon slice 35 3 8 0 0 2 0 .09

7. Orange 65 0 0 1 52 1 1 0.40

8. 2% Milk cup 100 4 12 0 250 9 0 0.16

9. OJ cup 120 0 0 0 3 1 0 0.50

10. Wheat toast slice 65 1 0 1 26 3 3 0.07