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:

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 thecomputer.

Transcribed Image Text:

Vitamin Contributions Minimum Dally Vitamin g/gg mg/Bacon Strip mg/Cereal Cup Requirements 4 16 12