Given this LP Model below:

Max Z $=4$x $+5$y

Subject to

$1$x $+3$y $<=22$

$-2$x $+2$y $<=5$

y $<=5$

$2$x $-8$y $<=0$

x $>=0,$ y $>=0$

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 $3.$