## (solution) Susan Chollette, campus dietitian for a small California college,

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 attachment.
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

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