practice_exam1(1)

# Practice_exam1(1) - OR Models Practice Exam#1 Fall Semester 2011 Name No books notes or calculators are allowed in this exam 1(20 pts Consider the

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Unformatted text preview: OR Models Practice Exam #1 Fall Semester 2011 Name: No books, notes or calculators are allowed in this exam. 1. (20 pts) Consider the following linear program. minimize- 50 x 1- 20 x 2- 30 x 3 subject to 500 ≤ 400 x 1 +200 x 2 +150 x 3 ≤ ∞ : π ‘ 1 ,π u 1 6 ≤ 3 x 1 +2 x 2 ≤ 20 : π ‘ 2 ,π u 2 8 ≤ 2 x 1 +4 x 2 + x 3 ≤ 50 : π ‘ 3 ,π u 3 2 ≤ x 1 ≤ 10 : λ ‘ 1 ,λ u 1 3 ≤ x 2 ≤ 11 : λ ‘ 2 ,λ u 2 6 ≤ x 3 ≤ 8 : λ ‘ 3 ,λ u 3 Here, the π and λ represent shadow prices on the structural constraints and simple bound constraints, respectively. For example, π ‘ 2 is the shadow price on the constraint 6 ≤ 3 x 1 + 2 x 2 and π u 2 is the shadow price on the constraint 3 x 1 + 2 x 2 ≤ 20. Similarly, λ ‘ 3 is the shadow price on 6 ≤ x 3 while λ u 3 is the shadow price on x 3 ≤ 8. The Excel spreadsheet and sensitivity report associated with this LP are on on the next page. Unfortunately, coffee was spilled on the sensitivity report in a couple of spots and destroyed some numerical values. Based on the available information (from the LP, the solution and sensitivity report) fill out the table below with a numerical value, including “= 0”. If that’s not possible butreport) fill out the table below with a numerical value, including “= 0”....
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## This note was uploaded on 12/19/2011 for the course M E 366l taught by Professor Staff during the Fall '08 term at University of Texas at Austin.

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Practice_exam1(1) - OR Models Practice Exam#1 Fall Semester 2011 Name No books notes or calculators are allowed in this exam 1(20 pts Consider the

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