Final answer:
The cycle time for assembling basketball backboards and poles in Nagle Hoops' assembly line is approximately 17.14 seconds.
Step-by-step explanation:
The cycle time can be calculated by dividing the total available work time by the desired output. In this case, the total available work time is 8 hours. To calculate the desired output, we need to convert the desired output per day into output per minute.
Since there are 200 backboards desired per day, and each backboard takes 10 minutes to assemble, the desired output per minute is 200 backboards divided by 24 hours (which equals 1,440 minutes) multiplied by 10.
The cycle time is then calculated as the total available work time (8 hours) divided by the desired output per minute (28 backboards), which equals approximately 0.286 minutes or 17.14 seconds.