A diet is being prepared for the University of Arizona dorms. The objective is to feed the students at the least cost, but the diet must have between 1,800 and 3,600 calories. No more than 1,400 calories can be starch, no fewer than 400 can be protein, and no more than 150 calories should be fat. The varied diet is to be made of two foods: A and B. Food A costs $1.75 per pound and contains 600 calories, 400 of which are protein and 200 starch. No more than 2 pounds of food A can be used per resident. Food B costs $2.50 per pound and contains 900 calories, of which 700 are starch, 100 are protein, and 100 are fat. a. Write the equations representing this information. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) (Click to select) V Z = A + В S.t В s Calories A + Calories В Starch A В Protein A В Fat A В Amount of A A b. What is the optimal solution? (Round your answers to 2 decimal places.) Decision for A Decision for B Total

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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A diet is being prepared for the University of Arizona dorms. The objective is to feed the students at the
least cost, but the diet must have between 1,800 and 3,600 calories. No more than 1,400 calories can be
starch, no fewer than 400 can be protein, and no more than 150 calories should be fat. The varied diet is to
be made of two foods: A and B. Food A costs $1.75 per pound and contains 600 calories, 400 of which are
protein and 200 starch. No more than 2 pounds of food A can be used per resident. Food B costs $2.50 per
pound and contains 900 calories, of which 700 are starch, 100 are protein, and 100 are fat.
a. Write the equations representing this information. (Leave no cells blank - be certain to enter "0"
wherever required. Round your answers to 2 decimal places.)
(Click to select) V
Z =
A +
В
S.t
В s
Calories
A
+
Calories
В
Starch
A
В
Protein
A
В
Fat
A
В
Amount of A
A
b. What is the optimal solution? (Round your answers to 2 decimal places.)
Decision for A
Decision for B
Total
Transcribed Image Text:A diet is being prepared for the University of Arizona dorms. The objective is to feed the students at the least cost, but the diet must have between 1,800 and 3,600 calories. No more than 1,400 calories can be starch, no fewer than 400 can be protein, and no more than 150 calories should be fat. The varied diet is to be made of two foods: A and B. Food A costs $1.75 per pound and contains 600 calories, 400 of which are protein and 200 starch. No more than 2 pounds of food A can be used per resident. Food B costs $2.50 per pound and contains 900 calories, of which 700 are starch, 100 are protein, and 100 are fat. a. Write the equations representing this information. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) (Click to select) V Z = A + В S.t В s Calories A + Calories В Starch A В Protein A В Fat A В Amount of A A b. What is the optimal solution? (Round your answers to 2 decimal places.) Decision for A Decision for B Total
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