Consider the following LP problem.

$10$ polnts

Print

References

$\backslash$table$[[$Maximize$,z=3x_1+2x_2,],[$Subject to$,2x_1+3x_{2}40,],[$Constraint $1$:$,3x_1+x_{2}30,],[$Constraint $2$:$,x_1,x_{2}0,]]$

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.

$\backslash$table$[[$Value of $x_1$ at the optimal solution,$],[$Value of $x_2$ at the optimal solution,$],[$Maximum value of $z,]]$

b$.$ Identify 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.

$\backslash$table$[[$Constraint $1,,],[$Constraint $2,,]]$