Show all work on all problems. No work no credit 1(30 points) Formulate the foll

Question

Show all work on all problems. No work no credit 1(30 points) Formulate the following problem. You do not need to solve. Grablec Keno Enterprises (GKE) is developing a new diet soft drink to sell as an 'energy drink. Each drink must consist of all 4 ingredients as shown by table below. Cost per ounce dollars) 0.02 Ingredient Water Caffeine Elixer A Elxer B 0.19 1.17 2.12 Each 6 ounce energy drink' can be sold for $4 and must contain at least,70% water and 5% Caffeine. For every ounce of Elixer A used we must use at least 2 ounces of Elixer B. Each'energy drink must contain at least 2% of Elixer A. rabs EDR ehe"Ldrink //Vg E D

Explanation / Answer

letx1=number of ounces of water present

x2=cafine

x3=Elixer A

x4=Elixer B

objective function to miminmize cost C: 0.02x1+0.19x2+1.17x3+2.12x4

subjected to constraints

x1/(x1+x2+x3+x4) >= 0.7

x2/(x1+x2+x3+x4)>=0.05

x3/(x1+x2+x3+x4)>=0.02

x4>=2x3

x1,x2,x3,+x4>0

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