A hospital dietitian prepares breakfast menus every morning for the hospital patients. Part of the dietitian's responsibility is to make sure that minimum daily requirements for vitamins A and B are met. At the same time, the cost of the menus must be kept as low as possible. The main breakfast staples providing vitamins A and B are eggs, bacon, and cereal. The vitamin requirements and vitamin contributions for each staple follow: Vitamin Contributions Minimum Daily Requirements Vitamin mg/Egg mg/Bacon Strip mg/Cereal Cup A 2 4 1 16 В 3 1 12 An egg costs $0.04, a bacon strip costs $0.03, and a cup of cereal costs $0.02. The dietitian wants to know how much of each staple to serve per order to meet the minimum daily vitamin require- ments while minimizing total cost. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer.

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A hospital dietitian prepares breakfast menus every morning for the hospital patients. Part of the
dietitian's responsibility is to make sure that minimum daily requirements for vitamins A and B are
met. At the same time, the cost of the menus must be kept as low as possible. The main breakfast
staples providing vitamins A and B are eggs, bacon, and cereal. The vitamin requirements and
vitamin contributions for each staple follow:
Vitamin Contributions
Minimum Daily
Requirements
Vitamin
mg/Egg
mg/Bacon Strip
mg/Cereal Cup
А
2
4
1
16
В
3
2
1
12
An egg costs $0.04, a bacon strip costs $0.03, and a cup of cereal costs $0.02. The dietitian wants
to know how much of each staple to serve per order to meet the minimum daily vitamin require-
ments while minimizing total cost.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
Transcribed Image Text:A hospital dietitian prepares breakfast menus every morning for the hospital patients. Part of the dietitian's responsibility is to make sure that minimum daily requirements for vitamins A and B are met. At the same time, the cost of the menus must be kept as low as possible. The main breakfast staples providing vitamins A and B are eggs, bacon, and cereal. The vitamin requirements and vitamin contributions for each staple follow: Vitamin Contributions Minimum Daily Requirements Vitamin mg/Egg mg/Bacon Strip mg/Cereal Cup А 2 4 1 16 В 3 2 1 12 An egg costs $0.04, a bacon strip costs $0.03, and a cup of cereal costs $0.02. The dietitian wants to know how much of each staple to serve per order to meet the minimum daily vitamin require- ments while minimizing total cost. a. Formulate a linear programming model for this problem. b. Solve the model by using the computer.
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