Consider the following LP problem.

Maximize $z=2\mathrm{.}84x_1+1\mathrm{.}91x_2,$

Subject $to2x_1+3x_{2}4,$

Constraint $1$: $3x_1+x_{2}30,$

Constraint $2$: $x_1,x_2,$

where $x_1$ and $x_2$ represent the decision variables. Solve the LP problem to answer the following questions.

o$.$ 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$.$ Identify the binding and nonbinding constraints and report the slack value, as applicable.

Note: If the answer to constralnts ls "Non$-$BIndlng" enter slock value to $2$ declmal ploces or leave cells blonk.

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

Note: If the answer to constralnts is "BIndlng" enter the "Shaclow price" and "Range of feaslbllity" to $2$ declmal pleces or leave

cells blonk.

Binding

Non$-$Binding