HW 1 - Math 482 HWl Solve four of the next five problems....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

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‘) L" R w . IV H OH ...
View Full Document

This note was uploaded on 02/19/2012 for the course MATH 482 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

Page1 / 2

HW 1 - Math 482 HWl Solve four of the next five problems....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online