$7-28$ Graph the following LP problem and indicate the

optimal solution point:

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

subject $to2x+Y150$

$,2x+3Y300$

$($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 $$3x+$$$3Y?$

Do not modify the template. Copy it to a new folder, then modify for each problem.

Notes: