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: maximize revenue $36x + $41y

subject to

Constraint #:

(1) 3.6x + 2.5y 380 hours (carpentry department)

(2) 1.5x + 1.5y 210 hours (painting department)

(3) .7x + .7y 155 hours (finishing department)

(4) x 40 units (contract requirement)

X₁, X₂ 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 constraints #1 and #3?