Consider the following LP problem.

Maximize z $=2\mathrm{.}98$x$1+1\mathrm{.}88$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 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.

B$.$ dentify the binding and nonbinding constraints and report the slack value, as applicable.

Note: If the answer to constraints is "Non$-$Binding" enter slack value to $2$ decimal places or leave cells blank.

c$.$ Report the shadow price and range of feasibility of each binding constraint.

Note: If the answer to constraints is "Binding" enter the "Shadow price" and "Range of feasibility" to $2$ decimal places or leave cells blank.

D$.$ What is the range of optimality for the two objective function coefficients?