A refinery manufactures two grades of jet fuel, J1 and J2, by blending four types of gasoline, A, B, C, and D. Fuel J1 uses gasoline A, B, C and D in ratio of 1:1:2:4 and Fuel J2 uses gasoline A, B, C and D in ratio of 2:2:1:3. The supply limits for A, B, C, and D are 1000, 1200, 900 and 1500 bbl/day, respectively. The cost per bbl for gasoline for A, B, C, and D are $120, $90, $100 and $150, respectively. Fuels J1 and J2 sell for $200 and $250 per bbl, respectively and minimum demand for Fuel J1 and J2 is 200 and 400 bbl/day, respectively. Develop a LP model to determine the optimum production mix for J1 and J2 fuels.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A refinery manufactures two grades of jet fuel, J1 and J2, by blending four types of gasoline,
A, B, C, and D. Fuel J1 uses gasoline A, B, C and D in ratio of 1:1:2:4 and Fuel J2 uses
gasoline A, B, C and D in ratio of 2:2:1:3. The supply limits for A, B, C, and D are 1000,
1200, 900 and 1500 bbl/day, respectively. The cost per bbl for gasoline for A, B, C, and D
are $120, $90, $100 and $150, respectively. Fuels J1 and J2 sell for $200 and $250 per bbl,
respectively and minimum demand for Fuel J1 and J2 is 200 and 400 bbl/day, respectively.
Develop a LP model to determine the optimum production mix for J1 and J2 fuels.
Transcribed Image Text:A refinery manufactures two grades of jet fuel, J1 and J2, by blending four types of gasoline, A, B, C, and D. Fuel J1 uses gasoline A, B, C and D in ratio of 1:1:2:4 and Fuel J2 uses gasoline A, B, C and D in ratio of 2:2:1:3. The supply limits for A, B, C, and D are 1000, 1200, 900 and 1500 bbl/day, respectively. The cost per bbl for gasoline for A, B, C, and D are $120, $90, $100 and $150, respectively. Fuels J1 and J2 sell for $200 and $250 per bbl, respectively and minimum demand for Fuel J1 and J2 is 200 and 400 bbl/day, respectively. Develop a LP model to determine the optimum production mix for J1 and J2 fuels.
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