an assembly line with 30 activities is to be balanced. the total amount of time to complete all 30…

an assembly line with 30 activities is to be balanced. the total amount of time to complete all 30 activities is 60 minutes. the largest activity takes 3.0 minutes and the shortest takes 0.5 minute. the line will operate for 540 minutes per day.\n\na. what are the maximum and minimum cycle times? round your answers to one decimal place.\n\nmaximum cycle time: blank minutes\n\nminimum cycle time: blank minutes\n\nb. how much daily output will be achieved by each of these cycle times? round your answers to the nearest whole number.\n\ndaily output achieved by maximum cycle time: blank units/day\n\ndaily output achieved by minimum cycle time: blank units/day

an assembly line with 30 activities is to be balanced. the total amount of time to complete all 30 activities is 60 minutes. the largest activity takes 3.0 minutes and the shortest takes 0.5 minute. the line will operate for 540 minutes per day.\n\na. what are the maximum and minimum cycle times? round your answers to one decimal place.\n\nmaximum cycle time: blank minutes\n\nminimum cycle time: blank minutes\n\nb. how much daily output will be achieved by each of these cycle times? round your answers to the nearest whole number.\n\ndaily output achieved by maximum cycle time: blank units/day\n\ndaily output achieved by minimum cycle time: blank units/day

Answer

Explanation:

Step1: Determine maximum cycle time

The maximum cycle time is equal to the time of the longest activity. So, the maximum cycle time is the time of the longest - activity which is 3.0 minutes.

Step2: Determine minimum cycle time

The minimum cycle time is equal to the time of the shortest activity. So, the minimum cycle time is 0.5 minutes.

Step3: Calculate daily output for maximum cycle time

The daily operating time is 540 minutes. The formula for daily output $Q$ is $Q=\frac{\text{Daily operating time}}{\text{Cycle time}}$. For the maximum cycle time of 3.0 minutes, $Q_{max}=\frac{540}{3.0}=180$ units/day.

Step4: Calculate daily output for minimum cycle time

Using the same formula for daily output, for the minimum cycle time of 0.5 minutes, $Q_{min}=\frac{540}{0.5}=1080$ units/day.

Answer:

Maximum cycle time: 3.0 minutes Minimum cycle time: 0.5 minutes Daily output achieved by maximum cycle time: 180 units/day Daily output achieved by minimum cycle time: 1080 units/day