Anna Broderick is the dietitian for the State University football team, and she is attempting to determine a nutritious lunch menu for the team. She has set the following nutritional guidelines for each lunch serving:

Between 1,500 and 2,000 calories

At least 5 mg of iron

At least 20 but no more than 60 g of fat

At least 30 g of protein

At least 40 g of carbohydrates

No more than 30 mg of cholesterol

She selects the menu from seven basic food items, as follows, with the nutritional contribution per pound and the cost as given:

The dietitian wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
c. If a serving of each of the food items (other than milk) was limited to no more than a half pound, what effect would this have on thesolution?

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Calories on Protein Carbohydrates Fat Cholesterol 520 500 Ground beef 860 Dried beans 600 50 (per lb) (mg/lb) (g/lb (g/l (g/lb) (mg/lb.) S/lb. 0.80 3.70 350 2.30 0.90 0.75 0.40 0.83 Chicken Fish 17 180 90 3.3 0.3 3.4 0.5 2.2 0.2 0 75 82 10 Potatoes Milk (2%) 10 16 240 10 20