3) A GT machine cell contains three machines. Machine 1 feeds machine 2 which is the key machine in the cell. Machine 2 feeds machine 3. The cell is set up to produce a family of six parts (A, B, C, D, E and F). The operation times for each part at each machine are given in the table below. The products are to be produced in the ratios 3:4:2:2:3:2, respectively. (a) If 100 hr/wk are worked, determine how many of each product will be made by the cell. (b) What is the utilization of each machine in the cell? Operation time Machine 1 Machine 2 Part Machine 3 A 8 min 10 min. 3 min B 8 min 15 min 12 min C 12 min 25 min 22 min D 15 min 15 min 10 min E 12 min 15 min 20 min F 4 min 10 min 10 min