Consider the Following Problem

question 4

Essay

Consider the following problem.Maximize Z = 2x₁ + 4x₂ + 3x₃,subject to x₁ + 3x₂ + 2x₃ = 20 x₁ + 5x₂ ≥ 10 and x₁ ≥ 0,x₂ ≥ 0,x₃ ≥ 0.Let be the artificial variable for the first constraint.Let x₅ and be the surplus variable and artificial variable,respectively,for the second constraint.You are now given the information that a portion of the final simplex tableau is as follows: (a)Extend the fundamental insight presented in Sec.5.3 of the textbook to identify the missing numbers in the final simplex tableau.Show your calculations.(b)Identify the defining equations of the CPF solution corresponding to the optimal solution in the final simplex tableau.

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