Final answer:
The required cycle time for a system to produce 800 units in an 8-hour shift with each of the four stations having a 32-second work content is 36 seconds per unit. This cycle time accounts for continuous production without delays.
Step-by-step explanation:
The student is asking how to determine the required cycle time for a serial assembly system that needs to produce 800 units during an 8-hour shift, with four stations each having a work content of 32 seconds.
To find the required cycle time, we need to divide the total available time for production by the desired output. First, convert the 8-hour shift into seconds: 8 hours * 60 minutes/hour * 60 seconds/minute = 28,800 seconds. Next, divide the total available time by the desired output of 800 units to find the cycle time. Required cycle time = 28,800 seconds / 800 units = 36 seconds per unit.
Therefore, for the system to achieve the output of 800 units per shift, each unit must pass through each station within 36 seconds, assuming no downtime or delays.