Must use the graphical method and substitution to find the solution. Show your steps on your

scratchpaper.

Solve for the value of the objective function and the variables. Since the decision centers

about the production of the two different cabinet models, we let

$x=$ number of French Provincial cabinets produced each day

$y=$ number of Danish Modern cabinets produced each day

Objective: Max$$39x+$$$44y$

subject to

Constraint #:

$(1)2x+3y300$ hours $($carpentry department$)$

$(2)2x+1y200$ hours $($painting department$)$

$(3)\mathrm{.}75x+1y150$ hours $($finishing department$)$

$(4)x35$ units $($contract requirement$)$

$x,Y0$

a$.$ what is the value of the objective function?

b$.$ what is the value of $x$ and $y?$

c$.$ what is the slack for constraint #$3?$

d$.$ what constraints #$\text{'}$s are binding?