A hospital dietitian prepares breakfast menus every morning for the hospital pat

Question

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
Vitamin mg/Egg mg/Bacon Strip mg/Cereal Cup 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.
Formulate a linear programming model for this problem by defining the decision variables, objective function, and all the constraints. Do NOT solve the problem after formulating.

Explanation / Answer

CONSTRAINTS.....

Vitamin Contributions Minimum Daily

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