A diet is being prepared for the University of Arizona dorms. The objective is t
ID: 453662 • 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 3,600 calories. No more than 1,700 calories can be starch, and no fewer than 600 can be protein. The varied diet is to be made of two foods: A and B . Food Acosts $0.75 per pound and contains 800 calories, 618 of which are protein and 182 starch. No more than 2 pounds of food A can be used per resident. Food B costs $0.16 per pound and contains 1,200 calories, of which 900 are starch, 180 are protein, and 120 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.)
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 3,600 calories. No more than 1,700 calories can be starch, and no fewer than 600 can be protein. The varied diet is to be made of two foods: A and B . Food Acosts $0.75 per pound and contains 800 calories, 618 of which are protein and 182 starch. No more than 2 pounds of food A can be used per resident. Food B costs $0.16 per pound and contains 1,200 calories, of which 900 are starch, 180 are protein, and 120 are fat.
Explanation / Answer
Minimize
Z
=
0.75
A
+
0.16
B
s.t
Calories
800
A
+
1200
B
3600
Calories
800
A
+
1200
B
1700
Starch
182
A
+
900
B
1700
Protein
618
A
+
180
B
600
Amount of A
1
A
2
Minimize
Z
=
0.75
A
+
0.16
B
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.