Final answer:
The required workstation cycle time to meet the desired output rate is approximately 0.0203 minutes per unit.
Step-by-step explanation:
To determine the required workstation cycle time, we need to calculate the total cycle time for all tasks and divide it by the desired daily output. Here's how we can do it:
- Add up the task times for all tasks: A = 35 seconds, B = 40 seconds, C = 20 seconds, D = 20 seconds, E = 10 seconds, F = 25 seconds, G = 35 seconds, H = 10 seconds. Total task time = 35 + 40 + 20 + 20 + 10 + 25 + 35 + 10 = 195 seconds.
- Add up the times for all immediate predecessor relationships: AC = 20 seconds, AD = 20 seconds, CE = 50 seconds, CF = 25 seconds, BG = 35 seconds, D-E = 10 seconds, F-G = 0 seconds, H = 10 seconds. Total predecessor time = 20 + 20 + 50 + 25 + 35 + 10 + 0 + 10 = 170 seconds.
- Calculate the total cycle time: Total cycle time = Total task time + Total predecessor time = 195 seconds + 170 seconds = 365 seconds.
- Convert the total cycle time to minutes: Total cycle time in minutes = 365 seconds / 60 = 6.08 minutes.
- Calculate the required workstation cycle time: Required workstation cycle time = Total cycle time / Desired daily output = 6.08 minutes / 300 units = 0.0203 minutes per unit.
Therefore, the required workstation cycle time to meet the desired output rate is approximately 0.0203 minutes per unit.