Susan Chollette, campus dietitian for a small California college, is responsible for formulating a nutritious meal plan for students. For an evening meal, she feels that the following five meal content requirements should be met: (1) between 900 and 1,500 calories; (2) at least 4 milligrams of iron; (3) no more than 50 grams of fat; (4) at least 26 grams of protein; and (5) no more than 50 grams of carbohydrates. On a particular day, Susan's food stock includes seven items that can be prepared and served for supper to meet these requirements. The cost per pound for each food item and its contribution to each of the five nutritional requirements are given in the table below: Food Item Milk Ground Meat Chicken Fish Beans Spinach Potatoes Calories/Poun d 295 1216 394 358 128 118 279 Nutritional Values and Costs Iron Fat Protein Carbohydrate (mg/lb) (g/lb) (g/lb) s (g/lb) 0.2 16 16 22 0.2 96 81 0 4.3 9 74 0 3.2 0.5 83 0 3.2 0.8 7 28 14.1 1.4 14 19 2.2 0.5 8 63 Cost/Poun d ($) 0.60 2.35 1.15 2.25 0.58 1.17 0.33 a. Set up the Mathematical Model for this Linear Programming (LP) problem. b. Solve the problem using Solver. c. Interpret your solution. You have to interpret the overall objective function; the decision variables; and your constraints