In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method. Nutrition. A dietician is to arrange a special diet composed of two foods, M and N . Each ounce of food M contains 30 units of calcium, 10 units of iron, 10 units of vitamin A, and 8 units of cholesterol. Each ounce of food N contains 10 units of calcium, 10 units of iron, 30 units of vitamin A, and 4 units of cholesterol. If the minimum daily requirements are 360 units of calcium, 160 units of iron, and 240 units of vitamin A, how many ounces of each food should be used to meet the minimum requirements and at the same time minimize the cholesterol intake? What is the minimum cholesterol intake?
In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method. Nutrition. A dietician is to arrange a special diet composed of two foods, M and N . Each ounce of food M contains 30 units of calcium, 10 units of iron, 10 units of vitamin A, and 8 units of cholesterol. Each ounce of food N contains 10 units of calcium, 10 units of iron, 30 units of vitamin A, and 4 units of cholesterol. If the minimum daily requirements are 360 units of calcium, 160 units of iron, and 240 units of vitamin A, how many ounces of each food should be used to meet the minimum requirements and at the same time minimize the cholesterol intake? What is the minimum cholesterol intake?
Solution Summary: The author calculates the amount of food M and N in ounces to meet the minimum requirements and minimize the cholesterol intake.
In Problems 49-64, construct a mathematical model in the form of a linear programming problem. (The answers in the back of the book for these application problems include the model.) Then solve by the geometric method.
Nutrition. A dietician is to arrange a special diet composed of two foods,
M
and
N
. Each ounce of food
M
contains
30
units of calcium,
10
units of iron,
10
units of vitamin A, and
8
units of cholesterol. Each ounce of food
N
contains
10
units of calcium,
10
units of iron,
30
units of vitamin A, and
4
units of cholesterol. If the minimum daily requirements are
360
units of calcium,
160
units of iron, and
240
units of vitamin A, how many ounces of each food should be used to meet the minimum requirements and at the same time minimize the cholesterol intake? What is the minimum cholesterol intake?
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
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