Step by Step Solutions

Solution: Solve using artificial variables.

Question: Solve using artificial variables.

\[\text{ }\begin{array}{*{35}{l}} \text{Minimize} & \text{w}=15{{\text{x}}_{1}}+16{{\text{x}}_{2}}+12{{\text{x}}_{3}} \\ \text{ subject to: } & 20{{\text{x}}_{1}}+30{{\text{x}}_{2}}+46{{\text{x}}_{3}}=440 \\ {} & 60{{\text{x}}_{1}}+130{{\text{x}}_{2}}+194{{\text{x}}_{3}}\le 1800 \\ {} & 40{{\text{x}}_{1}}+75{{\text{x}}_{2}}+101{{\text{x}}_{3}}\ge 1000 \\ {} & {{\text{x}}_{1}}\ge 0,{{\text{x}}_{2}}\ge 0,{{\text{x}}_{3}}\ge 0,{{\text{x}}_{4}}\ge 0 \\ \end{array}\]

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