Consider the Following MOLP Graph the Feasible Region for This Problem and Compute the \mathrm{X}_{1}+4

Essay

Consider the following MOLP:
$\begin{array}{ll}\text { MAX: } & 3 \mathrm{X}_{1}+4 \mathrm{X}_{2} \\\text { MAX: } & 2 \mathrm{X}_{1}+\mathrm{X}_{2} \\\text { Subject to: } & 6 \mathrm{X}_{1}+13 \mathrm{X}_{2} \leq 78 \\& 12 \mathrm{X}_{1}+9 \mathrm{X}_{2} \leq 108 \\& 8 \mathrm{X}_{1}+10 \mathrm{X}_{2} \leq 80 \\& \mathrm{X}_{1} \mathrm{X}_{2} \geq 0\end{array}$
Graph the feasible region for this problem and compute the value of each objective at each extreme point. What are the solutions to each of the component LPs?