Problem 3 (15 Points). A furniture manufacturer produces four products (Desks, Tables, Variable Cells Constraints Please answer the following questions based on the sensitivity analysis. (5 points each) a. One of the company's best clients has requested 15 bookslelves. If the company decides to produce the requested units of bookshelves, what would be the new total profit? Show your computations and fully explain how you arrived at your answer. Write your answerbelow. New profit = b. If the objective function coefficient of desks (profit per unit) is increased by $1.50 per unit, what would be the production of Desks, Tables, Chairs and bookshelves and the new total profit. Write their new values below. Desks = Tables = b. If the objective function coefficient of desks (profit per unit) is increased by $1.50 per unit, what would be the production of Desks, Tables, Chairs and bookshelves and the new total profit. Write their new values below. c. Suppose the profit per unit of desks is increased by $2, for tables is increased by $6.8, and for chaires is decreased by $0.8. What would be the productio of Desks, Tables, Chairs and bookshelves and the new of the objective function? Write their new values below. (Hint: 100% Rule). d. One hundred hours of painting time can be purchased at $10 per hour. Should we obtain the additional hours? If yes, what will be our total profit after paying for the time used. Write your answer here. Total profit = e. The packaging department can get additional hours at $6.80 per hour. Should we obtain the hours? Why or why not? Fully explain and numerically support your