Consider the following problem. Maximize subject to and Z=3x + x + 2x+ x-x+2x, 20 2x+xx,...

 

 

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Consider the following problem. Maximize subject to and Z=3x₁ + x₂ + 2x₂+ x₁-x₂+2x, 20 2x₁+x₂x, ≤ 10 x₁20, x₂20, x, 20. Let x, and .x, denote the slack variables for the respective functional constraints. After we apply the simplex method, the final simplex tableau is Basic Variable Z X3 X₂ Eq. (0) (1) (2) Z 1 0 0 X₁ 8 3 5 Coefficient of: X₂ 0 0 1 X3 0 1 0 X4 3 1 X5 4 1 2 Right Side 100 30 40 (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,.. (c) Use algebraic analysis to find the allowable range for each b. Consider the following problem. Maximize subject to and Z=3x₁ + x₂ + 2x₂+ x₁-x₂+2x, 20 2x₁+x₂x, ≤ 10 x₁20, x₂20, x, 20. Let x, and .x, denote the slack variables for the respective functional constraints. After we apply the simplex method, the final simplex tableau is Basic Variable Z X3 X₂ Eq. (0) (1) (2) Z 1 0 0 X₁ 8 3 5 Coefficient of: X₂ 0 0 1 X3 0 1 0 X4 3 1 X5 4 1 2 Right Side 100 30 40 (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,.. (c) Use algebraic analysis to find the allowable range for each b.