Consider the following LP problem. Maximize Subject to Constraint $1$: Constraint $2$: Constraint $3$: z $=9\mathrm{.}10$x$1+5\mathrm{.}80$x$2,5$x$1+3$x$2<=30,2$x$1+5$x$2<=33,$ x$1,$ x$2>=0,$ where x$$ and x$2$ represent the decision variables. Solve the LP problem to answer the following questions. a$.$ What are the values of x$1$ and x$2$ at the optimal solution? What is the maximum value of z$?$ Note: Round your answers to $2$ decimal places. Value of x$$ at the optimal solution Value of x$2$ at the optimal solution Maximum value of z b$.$