Consider the following LP problem.

$),$

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 $1,,,],[$Constraint $2,,,]]$