4. A dietitian 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, 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 Cholesterol intake? Introduce the decision variables, objective function, constraints, and SOLVE.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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4. A dietitian 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, 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 Cholesterol intake?
Introduce the decision variables, objective function, constraints, and SOLVE.
Transcribed Image Text:4. A dietitian 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, 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 Cholesterol intake? Introduce the decision variables, objective function, constraints, and SOLVE.
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