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, 5 mg of iron, and 45 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 1 mg of iron, 5 mg of vitamin C, and 2 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 Care met? Minimize C = subject to the constraints calcium iron vitamin C x2 0 y 20

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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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,
5 mg of iron, and 45 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 1 mg of iron, 5 mg of vitamin C, and 2 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 2 0
y 2 0
Transcribed Image Text: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, 5 mg of iron, and 45 mg of vitamin C. Each ounce of Food A contains 30 mg of calcium, 1 mg of iron, 5 mg of vitamin C, and 2 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 2 0 y 2 0
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