$-22$ Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for each constraint:

$[$ Maximize profit $=4$ X$+4$ Y; subject to $3$ X$+5$ Y $<=150$; X$-2$ Y $<=10$; $5$ X$+3$ Y $<=150]$

$-22$ Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for each constraint:

$[$ Maximize profit $=4$ X$+4$ Y; subject to $3$ X$+5$ Y $<=150$; X$-2$ Y $<=10$; $5$ X$+3$ Y $<=150]$

$-22$ Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for each constraint:

$[$ Maximize profit $=4$ X$+4$ Y; subject to $3$ X$+5$ Y $<=150$; X$-2$ Y $<=10$; $5$ X$+3$ Y $<=150]$