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: Chicken Fish Ground beef Dried beans Lettuce Potatoes Milk (2%) Calories Iron Protein Carbohydrates Fat Cholesterol (per lb.) (mg/lb.) (g/lb.) (g/lb.) (g/lb.) (mg/lb.) S/lb. 520 4.4 500 3.3 860 0.3 600 3.4 0.5 2.2 0.2 50 460 240 17 85 82 10 6 10 16 0 0 0 30 0 70 22 30 5 75 3 0 0 10 180 90 350 0 0 0 20 0.80 3.70 2.30 0.90 0.75 0,40 0.83 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 the solution?