Formulation of LP:

Let,

G1=Gas 1G2=Gas 2C1=Crude 1C2=Crude 2

C1G1 = Crude 1 used in Gas 1C1G2 = Crude 1 used in Gas 2C2G1 = Crude 2 used in Gas 1C2G2 = Crude 2 used in Gas 2

Let, PC1G1, PC1G2, PC2G1, and PC2G2 be the purified amounts of each crude used in each gasoline

Let, IC1G1, IC1G2, IC2G1, and IC2G2 be the impurified amounts of each crude used in each gasoline

Therefore, the objective function becomes,

Maximize, 8G1+12G2-.5 PC1G1-.5 PC1G2- .5 PC2G1- .5 PC2G2-6C1-8C2

Subject to the constraints,

G1≤4200G2≤4300

Impure + Pure = Total:<

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