Question: Consider the following problem: = 21 + 72 + 43 1 + 22 + 3 10 31 + 32 + 23 10 1, 2, 3

Consider the following problem: = 21 + 72 + 43 1 + 22 + 3 10 31 + 32 + 23 10 1, 2, 3 0 a) Construct the dual problem. b) Use the dual problem to demonstrate that the optimal value of Z for the primal problem cannot exceed 25. c) Given that 2 and 3 are the basic variables, obtain the solution to the primal problem. Using complementary slackness property obtain the corresponding solution to the dual. Draw your conclusions about whether these two solutions are optimal for their respective problems.

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