Vitamin contributions, A hospital dietitian prepares

Vitamin contributions

Reference no: EM13202735

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 Min. Daily Requirements
A 2 4 1 16
B 3 2 1 12

An egg cost $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 using the computer.

Reference no: EM13202735

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