Consider the following three-station production line with a single product that must visit stations 1, 2, and 3 in sequence.

Station 1 has 3 identical machines with an average processing times of 5 minutes per job

Station 2 has 10 identical machines with an average processing time of 20 minutes per job.

Station 3 has 4 machines with average processing times of 3 minutes per job.

1. How long does it take for a product to go through the entire production line? (.5 points)
2. What is the cycle time of each station? (.5 points)
3. What is the bottleneck rate for the production line and what station is it? (1 point)
4. Compute w₀ for production line? (1 point)
5. What is the takt time of the line given that 5600 parts have to be made over the course of 100 hrs? (1 point)
6. Can the three station production line make this takt time? If not how many machines would I need at station 1, 2, and 3? (1 point)