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

$$Maximize profit$=$$$3$X$+$$$2$Y$$

subject to$2$X$+$Y$150$

$2$X$+3$Y$300$

$($a$)$ Does the optimal solution change if the profit per unit of X changes to$$4\mathrm{.}50?$

$($b$)$ What happens if the profit function should have been$$3$X$+$$$3$Y$?$

Provide step by step guidance of solution using solver. Not a big deal, but Video solution is much preferred