a) draw graph and determine a feasible reason.

b) list all the corner points (show work please)

c) determine an optimal solution.

7. Solve the following LP problem graphically using level curves. \[ \begin{array}{ll} \text { MAX: } & 2 \mathrm{X}_{1}+5 \mathrm{X}_{2} \\ \text { Subject to: } & 6 \mathrm{X}_{1}+5 \mathrm{X}_{2} \leq 60 \\ & 2 \mathrm{X}_{1}+3 \mathrm{X}_{2} \leq 24 \\ & 3 \mathrm{X}_{1}+6 \mathrm{X}_{2} \leq 48 \\ & \multicolumn{2}{l}{\mathrm{X}_{1}, \mathrm{X}_{2} \geq 0} \end{array} \]