SOLUTION: Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patien

Question 1141898: Formulate but do not solve the following exercise as a linear programming problem.
A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 380 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 3 mg of iron, 5 mg of vitamin C, and 4 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements of calcium, iron, and vitamin C are met?
Minimize C = subject to the constraints
calcium=

iron =

vitamin C=

x ≥ 0
y ≥ 0
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x = number of milligrams of food A.
y = number of milligrams of food B.

you want to minimize the number of milligrams of cholesterol.

your objective function is therefore c = 4x + 5y

your constraint functions are:

calcium:

30x + 25y >= 380

iron:

3x + .5y >= 10

vitamin C:

5x + 5y >= 40

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