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Unformatted text preview: Math 482 HWl Solve four of the next ﬁve problems. 1. An oil reﬁnery has two sources of crude oil: a light crude oil that costs
$ 35/barrel and a heavy crude oil that costs $ 30/barrel. The reﬁnery produces
gasoline, heating oil, and jet fuel from crude in the amounts per barrel indicated in
the following table: Gasoline Heating oil Jet fuel
Light crude 0.3 0.2 0.3
Heavy crude 0.3 0.4 0.2 J The reﬁnery has contracted to supply 900,000 barrels of gasoline, 800000 barrels of heating oil. and 500,000 barrels ofjet fuel The reﬁnery wishes to ﬁnd the amounts of light and heavy crude to purchase so as to be able to meet its obligations at minimum cost. Formulate an appropriate LP in standard form. i ‘2. State in canonical form: z 2 .731 + 3:132 — 4:53 —» min with respect to 62:; +112 —4:E3 S —5. ~11 ~3$2 +4.2:3 2 ~9 3 11:1 +2.19 —39J4 : 6, §
1'1, LE3 Z 3. Solve by ﬁnding all basic feasible solutions. 3 2 21:1 + 35172 ——> rnin subject to 31:1 + 8172 12 5131.172 \/ H 41. Solve the problem: : t 271 l— 3.12 —: max
with respect to ,
31 1 +85th 3 1‘2, 11 +172 g 2. 81:1 +1.9 3 14, I}, r2 2 0. I 5‘ Convert the following problem to standard form and solve: Z:$1+4I2+$3 ——> max with respect; to I
J“ 2331 —'21‘g +$3
1131 —13 2‘)
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 Spring '08
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