Consider the following LP problem.

Maximize

Subject to

$z=2\mathrm{.}93x_1+1\mathrm{.}90x_2$

Constraint $17$

$2x_1+3x_{2}40,$

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

Constraint $3$: $,x_1,x_2,$

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 maximum 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$],[$Maximum value of $z$