Question: Use the simplex method to solve the linear programming problem.

\(\begin{array}{*{35}{l}} \text{ Minimize } & \text{w}={{\text{y}}_{1}}+3{{\text{y}}_{2}}+2\text{y}3 \\ \text{ subject to: } & {{\text{y}}_{1}}+{{\text{y}}_{2}}+\text{y}3\ge 50 \\ {} & 2{{\text{y}}_{1}}+{{\text{y}}_{2}}\ge 25 \\ {} & {{\text{y}}_{1}}\ge 0,{{\text{y}}_{2}}\ge 0,\text{y}3\ge 0 \\ \end{array}\)

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