This exercise is based on the following data on three bodybuilding supplements.

Question

This exercise is based on the following data on three bodybuilding supplements. (Figures shown correspond to a single serving.) You are thinking of combining Cell-Tech and Riboforce HP to obtain a 10-day supply that provides at least 90 grams of creatine and at least 8 grams of taurine, but no more than 770 grams of carbohydrates and no more than 1,200 milligrams of alpha lipoic acid. How many servings of each supplement should you combine to meet your specifications at the least cost? (If an answer does not exist, enter DNE.) Cell-Tech serving(s) Riboforce HP serving(s) cost $

Explanation / Answer

Let us represents the number of servings of Cell-Tech as X and number of servings of Riboforce HP as Y.

Objective is to minimize the total cost of mixing servings.

Formulation of the problem is as above. The constraints of creatine and Alpha Lipoic can not be satisfied simultaneously. Maximum value of creatine is 80 by having 6 units of Cell-Tech and 4 units of Riboforce HP.

Answer is DNE

Values 0 0 Decision Variables X Y SumProd Cost 2.2 1.6 0 RHS Creatine 10 5 0 ">= 90 Taurine 2 1 0 ">= 8 Carbohydrates 75 15 0 "<= 770 Alpha Lipoic 200 0 0 "<= 1200 Servings 1 1 0 "=" 10

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