# a4 - CO350 Assignment 4 Due June 11 at 2pm Your full name...

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CO350 Assignment 4 Due: June 11 at 2pm. Your full name, student ID number, the course number, and the name of your instructor should all be clearly visible on the front of your assignment. Exercise 1: Consider the linear program: (P) max 2 x 1 +2 x 2 - 3 x 3 +3 x 5 subject to x 1 - x 2 +2 x 3 - 2 x 5 = 0 x 2 - x 3 +2 x 5 = 1 x 1 + x 2 + x 4 +4 x 5 = 5 x 1 , x 2 , x 3 , x 4 , x 5 0 . (a) Construct the tableau associated with the basis B = { 1 , 2 , 4 } . (b) Find the basic solution x determined by B = { 1 , 2 , 4 } and its objective value. Is x feasible? (c) Find the basic dual solution y determined by B = { 1 , 2 , 4 } and its objective value. Is y feasible? Exercise 2: In the following two parts, apply the simplex method starting from the basis B = { 1 , 2 , 3 } . (a) (P) max 2 x 4 + x 5 subject to x 1 - x 4 + x 5 = 1 x 2 + x 4 +3 x 5 = 3 x 3 + x 4 + x 5 = 2 x 1 , x 2 , x

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## This note was uploaded on 05/28/2011 for the course CO 350 taught by Professor S.furino,b.guenin during the Fall '07 term at Waterloo.

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a4 - CO350 Assignment 4 Due June 11 at 2pm Your full name...

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