Problem 19S-4 (Algo)

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 1,850 and 3,950 calories. No more than 1,750 calories can be starch, and no fewer than 650 can be protein. The varied diet is to be made of two foods: A and B . Food A costs $0.82 per pound and contains 850 calories, 751 of which are protein and 149 starch. No more than 2 pounds of food A can be used per resident. Food B costs $0.19 per pound and contains 1,050 calories, of which 750 are starch, 190 are protein, and 180 are fat.

a. Write the equations representing this information. (Round your answers to 2 decimal places.)

Z = __A + __ B

Calories: _ A + B _

calories: _ A + __ B _

Starch: _A + __ B _

Protein: _A + __ B _

Amount of A: A + _