A dietician has been asked by the athletic director of a university to develop a snack...
A dietician has been asked by the athletic director of a university to develop a snack that athletes can use in their training programs. The dietician intends to mix two separate products together to make the snack. The following information has been obtained by the dietician:
|
Contribution per ounce (g) |
|||
|
Nutrient |
Minimum Amt Req(g) |
Product A |
Product B |
|
Carbohydrates |
20 |
2 |
5 |
|
Protein |
12 |
6 |
1 |
|
Calories |
450 |
90 |
50 |
Product A costs $.20 per ounce and Product B costs $.10 per ounce.
a) What is the optimal mix of Product A and Product B that minimizes the snack's overall cost?
b) What is the cost per snack?
c) Are any requirements exceeded? If so, which ones and by how much?
d) What if the trainer also decided that the snack should also include at least 2 oz of both Product A and Product B. Reformulate and solve. What is the new mix and cost?
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