A diet is being prepared for the University of Arizona dorms. The objective is t
ID: 351501 • 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 1,800 and 3,600 calories. No more than 1,600 calories can be starch, no fewer than 450 can be protein, and no more than 310 calories should be fat. The varied diet is to be made of two foods: A and B. Food A costs $2.20 per pound and contains 800 calories, 731 of which are protein and 69 starch. No more than 2 pounds of food A can be used per resident. Food B costs $3.10 per pound and contains 1,000 calories, of which 700 are starch, 190 are protein, and 110 are fat.
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) / | Z Calories Calories Starch Protein Fat Amount of A B S B 2 BExplanation / Answer
minimize Z= 2.20A + 3.10B
subject to
CALORIES A+B<=3600
CALORIES 800A + 1000 B>=1800
STARCH 69 A+ 700B <=1600
PROTEIN 731A +190B >=450
FATS 0A +110B <310
AMOUNT A+0B<=2
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