$7-31$ Consider the following LP problem:

Maximize profit $=,5x+6Y$

subject $to2x+Y120$

$,2x+3Y240$

$,x,Y0$

$($a$)$ What is the optimal solution to this problem?

Solve it graphically.

$($b$)$ If a technical breakthrough occurred that raised

the profit per unit of $x$ to $$8,$ would this affect

the optimal solution?

$($c$)$ Instead of an increase in the profit coefficient $x$

to $$8,$ suppose that profit was overestimated and

should only have been $$3.$ Does this change the

odtimal solution?

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

Notes: