Question 2 (20 points) Consider a three (3) station line with single-machine stations 1, 2, & 3. The average natural processing times (to) at each station are 15, 12, and 14 minutes respectively. However, machine 2 is subject to random failures, which causes its Availability to be only 75%. Assuming 100% Availability for the other 2 stations, find te for station 2 and answer the following questions (see table below for problem summary): a. Find To of this line by adding the effective process times, te's, together and enter to 2 decimal places in the first answer box below. b. What is bottleneck rate, rb, of the line to two decimal places? Enter the value to 2 decimal places in the second answer box below. Process Line with series stations with one machine per station Station/ to(minutes) to(hours) ||te(hours) jph (1/te) Machine 1 15 0.25 0.25 4.0 2 12 0.20 ? ? 3 14 0.23 0.230 4.3 To = rb = c. Then use To and the bottleneck rate, rb, and calculate Wo to one decimal place for entry into the answer box. d. If the Availablility of station 2 is reduced to 50%, what is the new critical WIP, Wo? (to one decimal place) e. What happens to the line throughput, TH? Indicate in either the work "up" or "down" (don't show quotation marks)