This exercise is based on the following data on three body building supplements.

Question

This exercise is based on the following data on three body building 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 10 grams of taurine, but no more than 750 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 ONE.)

Explanation / Answer

Minimize Z= aR1+bR2+cR3

R1= 10C1+75C2+2C3+200C4 (Cell Tech)

R2= 5C1+15C2+1C3+0C4 (RibeForce)

R3= 5C1+35C2+1C3+100C4 (Creatine Tr)

where R= Row no.

C= Column no.

And the Constraints are

C1>=90 (at least)

C3>=10 (at least)

C4<=1200 (not more than)

C2<=750 (not more than)

Simplex method is applied to solve this problem.

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