Consider a three-station line with single-machine stations. The average processing times on stations 1, 2, 3 are 15, 12, and 14 minutes, respectively. However, station 2 is subject to random failures, which cause its fraction uptime (availability) to be only 75 percent. a) Which station is the bottleneck of this line? b) What are the bottleneck rate, raw process time and critical WIP for the line? c)If availability of station 2 is reduced to 50 percent, what happens to the critical WIP? Briefly describe the likely impacts of this change