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# A dietician wants to design a breakfast menu for certain hospital patients. The menu is to include two items A and B.

2. A dietician wants to design a breakfast menu for certain hospital patients. The menu is to include two items A and B. Suppose that each ounce of A provides 2 units of vitamin C and 2 units of iron and each ounce of B provides 1 unit of vitamin C and 2 units of iron.

Suppose the cost of A is 4¢/ounce and the cost of B is 3¢/ounce. If the breakfast menu must provide at least 8 units of vitamin C and 10 units of iron, how many ounces of each item should be provided in order to meet the iron and vitamin C requirements for the least cost? What will this breakfast cost?

a. Identify the decision variable.
b. Write down the objective function.
c. Write down the constraints.
d. Solve the problem graphically.
e. Find the optimal mix and optimal value.

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A Minimum
requirement B Vitamin C
Iron 2
2 1
2 Cost 4 8
10 3 Decision variable
A B
3 Objective function
Minimize 2 Cost 18 4*X1 + 3*X2 Constraints Provided
Vitamin C
Iron Optimal mix A B
3 Cost Min...

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