1. (9 points) Consider the following system: P4 P5 1 unit 4 units hr hr H P6 (PLP2 P3 P5 1 unit 6 units hr hr 15 units hr 30 units 12 units hr hr P5 1 unit hr Operation P4 occurs separately from and simultaneously with operations P1 - P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. a) Find the bottleneck, bottleneck time, and manufacturing lead time (MLT) (Report answers for bottleneck time and MLT in minutes per unit) University of Il For parts (b)-(d), consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2) that have process time of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. b) Which of the two improvements will provide the largest increase in capacity? What is the yearly capacity of the system with the improvement you suggested Assume the process runs 40 hours per week and runs 48 weeks per year. Improvement 1: Improvement 2: Your choice: c) Which of the two improvements will provide the biggest decrease in MLT? What is the new MLT with the improvement you suggested? Improvement 1: Improvement 2: Your choice: d) Which of the two improvements would you recommend implementing? Why