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.
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.
Computer Networking: A Top-Down Approach (7th Edition)
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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
| Vitamin | mg/Egg | mg/Bacon Strip | mg/Cereal Cup | Minimum Daily Requirements |
|---------|--------|----------------|---------------|----------------------------|
| A | 2 | 4 | 1 | 16 |
| B | 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 requirements while minimizing total cost.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc47afd79-4f90-49b9-a307-5ed0cb0d8400%2Fe9de3298-e721-4960-8ad9-0fb6c0ea16f3%2Fhi8f8z_processed.png&w=3840&q=75)
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
| Vitamin | mg/Egg | mg/Bacon Strip | mg/Cereal Cup | Minimum Daily Requirements |
|---------|--------|----------------|---------------|----------------------------|
| A | 2 | 4 | 1 | 16 |
| B | 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 requirements 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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