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Business, 10.07.2021 22:10 snowprincess99447

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:

Nutrient |Minimum amount required (gr.) | Contribution per ounce (gr.)

| Product A | Product B

Carbohydrates | 20 | 2 | 5

Protein | 12 | 6 | 1

Calories | 450 | 90 | 50

Product A costs dollar 20 per ounce and products B costs dollar 10 per ounce.

Required:

a) Formulate the linear programming model for the problem.

b) Determine the optimal quantities of the two products for cost minimization.

c) Are any requirements exceeded? If so, which ones, and by how much?

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