MATH 444 Final: MATH 444 NIU FinalFa97

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15 Feb 2019
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Do any six of the first seven problems. Also do problem #8 and #9: consider the problem: State the dual problem and use the simplex algorithm to solve both the primal and the dual problem. Make sure that each step employed is the step suggested by the simplex algorithm. Check your result by evaluating the primal and the dual function: solve the following problem using both phases of the two-phase method. max x. Make sure that each step employed is the step suggested by the two-phase method: the problem: max 8 x. Use nothing but complementary slackness to find the dual solution . x. 23 (a) determine c . (b) determine bc : suppose c. How much can 1 c = be increased and still have the. 1 same basic variables? (b) the second variable is basic. How much can 2 c = be decreased and still have the same.