Consider the Following Problem

question 5

Essay

Consider the following problem.Maximize Z = 3x₁ + x₂ + 2x₃,subject to x₁ - x₂ + 2x₃ ≤ 20 2x₁ + x₂ - x₃ ≤ 10 and x₁ ≥ 0,x₂ ≥ 0,x₃ ≥ 0.Let x₄ and x₅ denote the slack variables for the respective functional constraints.After we apply the simplex method,the final simplex tableau is
(a)Perform sensitivity analysis to determine which of the 11 parameters of the model are sensitive parameters in the sense that even small changes in just that parameter's value might change the optimal solution.
(b)Use algebraic analysis to find the allowable range to stay optimal for each c_j..
(c)Use algebraic analysis to find the allowable range for each b_i.

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