Question: Problem 2 7 x 6 = 42 points The initial tableau of an LP is 0 0 0 0 0 3 You can assume that

Problem 2 7 x 6 = 42 points The initial tableau of an LP is 0 0 0 0 0 3 You can assume that this tableau (except the 0th row) corresponds to Ax = b, that is, the first column is equal to b and the main part of the tableau simply lists A. After some iterations of the simplex method, we get the optimal tableau f g oooh 2 1 10 0 1 0 010 2 0 3 0 01 2 1. What are the values of the variables r1, . ..,'s corresponding to the optimal solution? Hint: Can you determine the inverse of the optimal basis? 2. Is it degenerate? What conditions need to be satisfied for it to be unique? 3. Suppose that we change by from -2 to -2 -8. For what values of o does the same bfs remain optimal ? 4. What can you say about the current bfs when & is positive ? 5. If it is not optimal, what can you do to find an optimal solution, and what your conclusion would be ? 6. Assume that C1 = C2 = 06 = 0. Find an optimal dual solution corresponding to the final tableau (it can be expressed in terms of f, g, h)

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