. A refinery manufactures two grades of jet fuel, F1 and F2,

. A refinery manufactures two grades of jet fuel, F1 and F2, byblending four types of gasoline, A, B, C, and D.Fuel F1 uses the gasolines in the ratio 1:1:2:4, and fuel F2 usesthe gasolines in the ratio 2:2:1:3. The supply ofthe gasolines is limited to 1000, 1200, 900, and 1500 bbl/dayrespectively. The costs of each are $120, $90,$100, and $150 per bbl. Fuels F1 and F2 sell for $200 and $250 perbbl.a. Determine the optimal production mix for F1 and F2.b. What is the allowable range for your objective coefficientcorresponding to F1?Interpret what this means for the company’s fuel production.c. What is the allowable range for the right-hand side of yourfirst constraint?Interpret what this means for the company’s fuel production.

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