Consider the following LP problem.

Maximize z $=3\mathrm{.}06$x$1+2\mathrm{.}16$x$2,$

Subject to

Constraint $1$: $2$x$1+3$x$2<=40,$

Constraint $2$: $3$x$1+$ x$2<=30,$

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 question

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.