# Physics/Math questions

**Question description**

. A refinery manufactures two grades of jet fuel, F1 and F2, by
blending four types of gasoline, A, B, C, and D. Fuel F1 uses the gasolines in the ratio 1:1:2:4, and fuel F2 uses
the gasolines in the ratio 2:2:1:3. The supply of the gasolines is limited to 1000, 1200, 900, and 1500 bbl/day
respectively. The costs of each are $120, $90, $100, and $150 per bbl. Fuels F1 and F2 sell for $200 and $250 per
bbl.

a. Determine the optimal production mix for F1 and F2.

b. What is the allowable range for your objective coefficient
corresponding to F1?

Interpret what this means for the company’s fuel production.

c. What is the allowable range for the right-hand side of your
first constraint?

Interpret what this means for the company’s fuel production.

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