Question $1$

Consider the following linear program:

MAX $Z=80x+60Y$

$s.t.10x+20Y200$

$,9x+5Y90$

$x2$

$,Y5$

Solve this linear program graphically, and determine the optimal quantities of $x,Y$ and the value of $Z$ using iso$-$profit method.

$$ You must include every process of your work & description about your model.

$$ You must use iso$-$profit method.