Question: Use the 'big M' method to solve the following linear programming problem [ begin{array}{ll} text { Maximize } Z=4 x_{1}+5 x_{2} text { Sub.

Use the 'big M' method to solve the following linear programming problem \\[ \\begin{array}{ll} \\text { Maximize } Z=4 x_{1}+5 x_{2} \\\\ \\text { Sub. To } & x_{1}+x_{2} \\leq 4 \\\\ & 2 x_{1}+3 x_{2} \\geq 12 \\\\ & 4 x_{1}+3 x_{2} \\geq 18 \\\\ & x_{1}, x_{2} \\geq 0 \\end{array} \\]
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