New jet Inc. manufactures two types of printers, an inkjet printer and a laser printer. The company can make a total of 60 printers per day, and it has 120 labor-hours per day available. It takes 1 labor-hour to make an inkjet printer and 3 labor-hours to make a laser printer. The profits are $40 per inkjet printer and $60 per laser printer.
(a) Write the simplex matrix to maximize the daily profit.
(b) Find the maximum profit and the number of each type of printer that will give the maximum profit.