(See Solution) Given the following LP problem :
Question: Given the following LP problem :
\[\begin{array}{*{35}{r}} \text{ Maximize }\quad \mathbf{Z}=8{{X}_{1}}+5{{\text{X}}_{2}} & {} \\ \begin{aligned} & \text{ Subject to} \\ & \\ & \text{ } \\ \end{aligned} & \begin{aligned} & {{X}_{1}}\le 150 \\ & {{\text{X}}_{2}}\le 200 \\ \end{aligned} \\ {} & {{\text{X}}_{1}}+{{\text{X}}_{2}}\le 500 \\ {{\text{X}}_{1}},{{\text{X}}_{2}}0 & {} \\ \end{array}\]- Graphically show the feasible region for the problem.
- Find all extreme points of the problem.
C. Determine the optimal solution.
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