Question: 28 Graph the following LP problem and indicate optimal solution point

\[\begin{aligned} & \max \,\,3x+2y \\ & \text{s}\text{.t}\text{.} \\ & 2x+y\le 150 \\ & 2x+3y\le 300 \\ & x,y\ge 0 \\ \end{aligned}\]

(a) Does the optimal solution change if the profit per unit of X changes to $4.50?

(b) What happens if the profit function should hi been $3x + $3y?