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
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 | mg/Egg | mg/bacon strip | mg/Cereal Cup | Min. Daily Requirement |
| 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.
1. Formulate a linear programming model for this problem. Then Slove the model by using the computer
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
