Question $3$

$9$ Points

Given this LP Model below:

MaxZ$=4x+5y$

Subject to

$5x+2y50$

$-10x+4y20$

$y11$

$3x-4y0$

$x0,y0$

a$)$ Solve for the quantities of $x$ and $y$ which will maximize $Z.$ The $x=$ Blank $1.$ The $y=$ Blank $2.$

b$)$ What is the maximum value of $Z?$ The $Z=$ Blank $3.$