This exercise is based on the following bodybuilding supplem

This exercise is based on the following 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 creative and at least 10 grams of taurine, but no more than 750 grams of carbohydrate 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.)

Solution

LET X= SERVINGS OF CELLTECH Y= SERVINGS OF RIBOFORCE HP

SO YOUR EQUATION OF COST WILL BE C= 2.20 X + 1.60 Y

and the following ranges must be met:

1. Creatine content : 10 X + 5 Y>=90

2. TAURINE CONTENT : 2X+Y<=10

3. CARBOHYDRATES: 75X + 15Y <=750

4. 200X<= 1200

AT X=6 , FROM EQN 1 WE HAVE COORDINATES (6,6)

AT X=6 FRM EQN 3 ( 6,20)

FROM ABOVE CORRDINATES WHICH GIVE MINIMUM COST 2.20X+1.60Y IS THE ANSWER