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 + 3y 300 hours (carpentry department)

(2) 2x + 1y <= 200 hours (painting department)

(3) .75x + 1y 150 hours (finishing department)

(4) x 35 units (contract requirement)

X, Y 0

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 #'s are binding?