The Whitt Window Company is a company with only three employees that makes two different kinds of hand-crafted windows: a wood-framed and an aluminum-framed window. They earned $60 profit for each wood-framed and $30 profit for each aluminum-framed window. Doug makes the wood frames, and can make at most 6 per day. Linda makes the aluminum frames, and can make at most 4 per day. Bob forms and cuts the glass, and can make at most 48 square feet of class per day. Each wood-framed window uses 6 square feet of glass and each aluminum-framed window uses 8 square feet of glass. The company wishes to determine the number of windows of each type to produce per day to maximize total profit (a) Formulate a linear programming model for this problem.
(b) Use the graphical method to solve the problem.