A diet is being prepared for the University of Arizona dorms. The objective is t
ID: 351016 • Letter: A
Question
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 1,700 and 3,500 calories. No more than 1,500 calories can be starch, and no fewer than 500 can be protein. The varied diet is to be made of two foods: A and B . Food A costs $0.78 per pound and contains 800 calories, 744 of which are protein and 56 starch. No more than 2 pounds of food A can be used per resident. Food B costs $0.15 per pound and contains 900 calories, of which 600 are starch, 140 are protein, and 160 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) iZ Calories Calories Starch Protein Amount of A B S B 2 B 2Explanation / Answer
a. The equations representing the model are following
Min Z = 0.78 A + 0.15 B (total cost of A pounds of food A and B pounds of food B)
s.t.
Calories: 800 A + 900 B <= 3500
Calories: 800 A + 900 B >= 1700
Starch: 56 A + 600 B <= 1500
Protein: 744 A + 140 B >= 500
Amount of A: 1 A <= 2
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