Answer:
- 4 2/3 pounds of cereal Y; none of cereal X
- $37.33 is the minimum cost
Step-by-step explanation:
The quantity of vitamin A in the food is ...
10X +30Y ≥ 140
and vitamin B ...
20X +50Y ≥ 140
The cost, which we want to minimize is ...
12X +8Y
__
A graph shows that any diet meeting the requirement for vitamin A will also meet the requirement for vitamin B. Vitamin A in the form of cereal X costs ...
$12/(10 mg) = $1.20/mg
In the form of cereal Y, it costs ...
$8/(30 mg) ≈ $0.27/mg
So, cost is minimized by satisfying the vitamin requirements using cereal Y exclusively. That cost is $37.33 for 4 2/3 pounds of cereal Y only.
