Question

Problem A-5 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 1,900 and 3,700 calories. No more than 1,500 calories can be starch, no fewer than 550 can be protein, and no more than 330 calories should be fat. The varied diet is to be made of two foods: A and B. Food A costs $2.30 per pound and contains 700 calories, 619 of which are protein and 81 starch. No more than 2 pounds of food A can be used per resident. Food B costs $3.15 per pound and contains 1,200 calories, of which 900 are starch, 120 are protein, and 180 are fat. Write the equations representing this information. (Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 2 decimal places.) Click to select) Calories Calories Starch Protein Fat Amount of A

Answer 1

Minimize Z = 2.30 A + 3.15 B

Such that

Calories: 700 A + 1200 B ≤ 3700

Calories: 700 A + 1200 B ≥ 1900

Starch: 81 A + 900 B ≤ 1500

Protein: 619 A + 120 B ≥ 550

Fat: 180 B ≤ 330

Amount of A: 1 A ≤ 2

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