Question

A diet is to include at least 140 mg of vitamin A and at least 145 mg of vitamin B. these requirements can be obtained from two types of food type X contains 10 mg of vitamin A and 20 mg of vitamin B per pound. type Y contains 30 mg of vitamin A and 15 mg of vitamin B per pound. if type X food cost $12 per pound and type Y food cost eight dollars Per pound how many pounds of each type of food should be purchased to satisfy the requirements at the minimum cost

Answer 1

minimize c=12x+8y subject to
10x + 30y >= 140
20x + 15y >= 145

Hmmm. I get 0 X and 29/3 lbs of Y.
Seems odd. Maybe you can spot a mistake.

Answer 2

None