. Consider a window company with only three employees which makes two different kinds of hand-crafted windows: a wood-framed and an aluminum-framed window. They earn $60 profit for each wood-framed window and $30 profit for each aluminum-framed window. Employee 1 makes the wood frames, and can make 6 per day. Employee 2 makes the aluminum frames, and can make 4 per day. Employee 3 forms and cuts the glass, and can make 48 square feet of glass per day. Each wood-framed window uses 6 square feet of glass and each aluminum-framed window uses 8 square feet of glass. (a) Formulate a linear programming model that maximizes profit. (b) Solve the linear program graphically. (c) A competitor in town has decided to also make wood-framed windows, meaning our com- pany may have to adjust its prices for its wood-framed windows to stay competitive. How would the optimal solution change if the profit per wood-framed window decreased from $60 to $40? How about from $60 to $20? (d) Employee 1 is considering working fewer hours a day. How would the optimal solution (and optimal objective value) change if Employee 1 can only make 5 windows a day