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Unformatted text preview: 3 vectors y 1 , y 2 , y 3 , y 4 . Give the dual objective function value (as a function of b 1 ) for each of y 1 , y 2 , y 3 , y 4 . Call these functions V 1 ( b 1 ) , V 2 ( b 1 ) , V 3 ( b 1 ) , V 4 ( b 1 ). 4. (a) What do the four functions V 1 ( b 1 ) , V 2 ( b 1 ) , V 3 ( b 1 ) , V 4 ( b 1 ) from part (c) and the Weak Duality Theorem tell you about the function z * ( b 1 )? (b) Draw a Fgure as in part (2b) showing all four functions V 1 ( b 1 ) , V 2 ( b 1 ) , V 3 ( b 1 ) , V 4 ( b 1 ), rather than only one. What does this plot reveal about z * ( b 1 )? 5. There are inFnitely many dual feasible solutions y for P ( b 1 ). Describe in words a Fgure analogous to the Fgure in part (4b) that shows each of the relevant functions V ( b 1 ), one for each dual feasible solution....
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 Fall '07
 BLAND

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