Excel's Solver tool has been used in the spreadsheet below to solve a linear programming problem with a maximization objective function and all $$ constraints. $($a$)$ Give the original linear programming problem. $($Write your answer without slack or surplus variables.$)$

Max

s$.$t$.$

Constraint #$1$

Constraint #$2$

Constraint #$3$

$x,Y0$

$($b$)$ What are the optimal values of $x$ and $Y$ given in the spreadsheet above. $($Round your answers to two decimal places.$)$

$x=$

$y=$

What is the maximum value? $($Round your answers to two decimal places.$)$