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(Solved): Solve the linear programming problem using the simplex method. Maximize \( z=2 x_{1}+3 x_{2} \) sub ...
Solve the linear programming problem using the simplex method. Maximize \( z=2 x_{1}+3 x_{2} \) subject to \[ \begin{array}{l} 5 x_{1}+x_{2} \leq 50 \\ 3 x_{1}+2 x_{2} \leq 70 \\ x_{1}+x_{2} \leq 60 \\ x_{1}, x_{2} \geq 0 . \end{array} \]