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 70 grams of creatine and at least 8 grams of taurine, but no more than 730 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

Cell-Tech=x

Riboforce HP=y

Minmize

C=2.20x+1.60y

Subject to

10x+5y>=70

2x+y>=8

75x+15y<=750

200x<=1200

So, we have minima at

x=6

y=2

hence cost =$16.4

Thus,

Cell-Tech=6 servings

Riboforce HP=2 servings

Cost = $16.4

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