Consider the following LP problem.

Minimize z $=9$x$1+6$x$2,$

Subject to

Constraint $1$: $5$x$1+3$x$2>=30,$

Constraint $2$: $2$x$1+5$x$2>=33,$

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.

What are the values of x$1$ and x$2$ at the optimal solution? What is the minimum value of z$?$

Note: Round your answers to $2$ decimal places.

Identify the binding and nonbinding constraints and report the surplus value, as applicable.

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

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

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

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

Note: Round your answers to $1$ decimal place.