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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