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 longest activity takes 3.0 minutes and the shortest takes 0.5 minute. the line will operate for 540 minutes per day.\na. what are the maximum and minimum cycle times? round your answers to one decimal place.\nmaximum cycle time: \nminimum cycle time: \nb. how much daily output will be achieved by each of those cycle times? round your answers to the nearest whole number.\ndaily output achieved by maximum cycle time: \ndaily output achieved by minimum cycle time:

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

Answer

Explanation:

Step1: Determine maximum cycle time

The maximum cycle time is the time of the longest activity. So, maximum cycle time = 3.0 minutes.

Step2: Determine minimum cycle time

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

Step3: Calculate daily output for maximum cycle time

Daily output = $\frac{Total\ operating\ time\ per\ day}{Maximum\ cycle\ time}$. Given total operating time per day = 540 minutes and maximum cycle time = 3.0 minutes. So, daily output = $\frac{540}{3.0}=180$ units/day.

Step4: Calculate daily output for minimum cycle time

Daily output = $\frac{Total\ operating\ time\ per\ day}{Minimum\ cycle\ time}$. Given total operating time per day = 540 minutes and minimum cycle time = 0.5 minutes. So, daily output = $\frac{540}{0.5}=1080$ 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