2. (10 pts.) How many machines are needed for the last operation given the following conditions (show your work): Three different machines are needed to make a part in three steps. At the end of the threestep process, 400 good units are needed during one eight-hour shift. The three-step process takes 10,5 , and 15 minutes, respectively, to complete the part for an average machine operator chosen to operate the machines. Assuming that each machine used for each operation will not be available for half an hour of each shift due to breakdown and maintenance. On average, one-tenth, one-tenth, and one-fifth of the part that begin the first, second, and third step of the process are scrapped and cannot be reworked