3 the following is the current simplex tableau of a linear programming problem the objective is to minimize 2x4 x5 2x6 and x1xz and xz are the slack variables x2 x4 x5 h x6 g rhs 12 6 8 x6 2 14678

[3.49] The following is the current simplex tableau of a given maximization problem. The objective is to maximize 2x1 - 4x2, and the slack variables are x3 and x4. The constraints are of the ≤ type. z x1 x2 x3 x4 RHS z 1 b 1 f g 8 x3 0 c 0 1 1/5 4 x1 0 d e 0 2 a a. Find the unknowns a through g.b. Find B^-1.c. Find (∂ x3)/(∂ x2), (∂ z)/(∂ b1), (∂ z)/(∂ x4), (∂ x1)/(∂ b2).d. Is the tableau optimal?

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