Consider the following LP problem.

Minimize $z=8\mathrm{.}80x_1+6\mathrm{.}00x_2$

Subject to

Constraint $1$: $5x_1+3x_{2}30,$

Constraint $2$: $2x_1+5x_{2}33,$

$01$:$10$:$32$

Constraint $3$ : $x_1,x_{2}0,$

where $x_1$ and $x_2$ represent the decision variables. Solve the LP problem to answer the following questions.

a$.$ What are the values of $x_1$ and $x_2$ at the optimal solution? What is the minimum value of $z?$

Note: Round your answers to $2$ decimal places.

$\backslash$table$[[$Value of $x_1$ at the optimal solution,$],[$Value of $x_2$ at the optimal solution,$],[$Minimum value of $z,]]$

b$.$ Identify the binding and nonbinding constraints and report the surplus value, as applicable. Note: If the answer to constraints is "Non$-$Binding" enter surplus value or leave cells blank.

$\backslash$table$[[$Constraint $1,$Binding,,$],[$Constraint $2,$Binding,,$]]$