A diet is being prepared for the University of Arizona dorms The objective is to

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 2,100 and 3,700 calories. No more than 1,800 calories can be starch, and no fewer than 400 can be protein. The varied diet is to be made of two foods: A and B Food A costs $0.77 per pound and contains 900 calories, 829 of which are protein and 71 starch. No more than 2 pounds of food A can be used per resident. Food B costs $0.16 per pound and contains 1,000 calories, of which 700 are starch, 120 are protein, and 180 are fat a. Write the equations representing this information. (Leave no cells blank be certain to enter "O" wherever required Round your answers to 2 decimal places.) Minimize z= 0.zzo A + 0.16@B 120 B S 120 B 2 7000 B s 120O B 2 900 A 900 A+ Calories Calories Starch Protein Amount of A 3,700 2,100 1,800 400 8,000 71 O A + 899 A 2,770 A

Explanation / Answer

Let us consider that

A = Pounds of food A

B= Pounds of food B

Objective function:-

Min Z = 0.77 A + 0.16 B

S.T.:-

900A + 1000 B 3700   maximum calories

900A + 1000 B 2100   minimum calories

71 A +700B 1800 maximum starch

829A+120B 400 minimum protein

A 2 Maximum amount of A

PLEASE RATE THE ANSWER AS THUMBS UP. THANKS A LOT.

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