Question: 04(25 Pts) Consider the following linear program: $$ begin{array}{1c) text Maximize } & z=fleft(x_{1}, x_{2} ight)33 x_{1}+2 x_{2} text { Subject to } &

$04(25 Pts) Consider the following linear program: $$ \begin{array}{1c) \text Maximize$

04(25 Pts) Consider the following linear program: $$ \begin{array}{1c) \text Maximize } & z=f\left(x_{1}, x_{2} ight)33 x_{1}+2 x_{2} \ \text { Subject to } & 2 x_{1}+x_{2} \leq 18 W & 2 x_{1}+3 x_{2} \leq 42 & 3 x_{1}+x_{2} \leq 24 W & x_{1}, X_{2} \geq 0 \end{array} $$ (a) Use the simplex method to solve the problem. (b) Write the dual of the linear program. SP.SD.482

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