AEM 4120 PS5

# AEM 4120 PS5 - AEM4120 HomeworkAssignment#5...

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AEM 4120 Homework Assignment #5 Reading Assignment (Section 4.7, Chapter 6) Due date:  Thursday, November 4   (at the beginning of class) (1) 6.3-5 (8 th edition) Consider the following problem. Maximize Z=2x1 – 4x2 Subject to x1 – x2 <=1 x1>=0, x2>=0 (a) Construct the dual problem and then find its optimal value by inspection (b) Use the complimentary slackness property and the optimal solution for the dual problem to find the optimal solution for the primal problem (c) Suppose that c1, the coefficient of x1 in the primal objective function, actually can have any value in the model. For what values of c1 does the dual problem have no feasible solution? For these values, what does duality theory then imply about the primal problem? (2) 6.4-1 (8 th edition) Only part b) (no need to show that part b) produces the same result as part a) Consider the following problem.

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## This note was uploaded on 02/25/2011 for the course AEM 4120 taught by Professor Gomes,c. during the Fall '08 term at Cornell.

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AEM 4120 PS5 - AEM4120 HomeworkAssignment#5...

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