Use the graphical solution method to solve the following LP$.$ Clearly show the feasible region and

include the answers to the following questions: $($Note: You can submit a Word or Excel document; or

alternatively, you can solve the problem on paper and submit a scanned copy. In any case, use the

graphical solution method $($not Excel Solver$)$ and make sure to include the answers to the questions

from $($a$)$ to $($e$)$ below.$)$

$(13$ points$)$ a$.$ The optimal solution is

$(5$ points$)$ b$.$ Which constraints are binding at optimality?

$(4$ points$)$ c$.$ What happens if $($C$3)$ is removed?

$(4$ points$)$ d$.$ What happens if the inequality in $($C$3)$ is changed to $?$

$(3$ points$)$ e$.$ What happens if the objective function is changed to $6x+2y?$

Max$2x+3y$

$s.t.3x+y18(C1)$

$x+y10(C2)$

$x,7(C3)$

$y,7,(C4)$

$x,y0(C5)$