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Question 5 max \(z = 2x_1 + 4x_2 + 3x_3\), s.t. \(x_1 + 3x_2 + 2x_3 = 2\), \(x_1 + 5x_2 \ge 10\), \(x_1 \ge 0\), \(x_2 \ge 0\), \(x_3 \ge 0\). Let \(x_4\) be the artificial variable for the first constraint. Let \(x_5\) and \(x_6\) 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: \begin{tabular}{|c|c|c|c|c|c|c|} \hline \(z\) & \(x_1\) & \(x_2\) & \(x_3\) & \(x_4\) & \(x_5\) & \(x_6\) & RHS \\ \hline & & & & \(M + 2\) & 0 & \(M\) & \\ & & & & 1 & 0 & 0 & \\ & & & & 1 & 1 & -1 & \\ \hline \end{tabular} Extend the fundamental insight to identify the missing numbers in the final simplex tableau. Show your calculations. Identify the defining equations of the CPF solution corresponding to the optimal solution in the final simplex tableau.

          Question 5
max \(z = 2x_1 + 4x_2 + 3x_3\),
s.t. \(x_1 + 3x_2 + 2x_3 = 2\),
\(x_1 + 5x_2 \ge 10\),
\(x_1 \ge 0\), \(x_2 \ge 0\), \(x_3 \ge 0\).
Let \(x_4\) be the artificial variable for the first constraint. Let \(x_5\) and \(x_6\) 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:
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
\(z\) & \(x_1\) & \(x_2\) & \(x_3\) & \(x_4\) & \(x_5\) & \(x_6\) & RHS \\
\hline
 &  &  &  & \(M + 2\) & 0 & \(M\) &  \\
 &  &  &  & 1 & 0 & 0 &  \\
 &  &  &  & 1 & 1 & -1 &  \\
\hline
\end{tabular}
Extend the fundamental insight to identify the missing numbers in the final simplex tableau.
Show your calculations. Identify the defining equations of the CPF solution corresponding
to the optimal solution in the final simplex tableau.

Question 5
max z = 2x1 + 4x2 + 3x3,
s.t. x1 + 3x2 + 2x3 = 2,
x1 + 5x2 ≥ 10,
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.
Let x4 be the artificial variable for the first constraint. Let x5 and x6 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:

z x1 x2 x3 x4 x5 x6 RHS

M + 2 0 M

1 0 0

1 1 -1

Extend the fundamental insight to identify the missing numbers in the final simplex tableau.
Show your calculations. Identify the defining equations of the CPF solution corresponding
to the optimal solution in the final simplex tableau.

Added by Larry T.

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