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

$(3)75x+1y150$ 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?