An assembly line with 17 tasks is to be balanced. The longest task is 2 4 minute

Question

An assembly line with 17 tasks is to be balanced. The longest task is 2 4 minutes, and the total time for all tasks is 18 minutes. The line will operate for 450 minutes per day. What are the minimum and maximum cycle times? (Round your answers to 1 decimal place) Minimum cycle time minutes Maximum cycle time minutes What range of daily output is theoretically possible for the line? (Round your answers to 1 decimal place. Enter the smaller value in the first box and the larger value in the second box.) Range of output to units/day What is the minimum number of workstations needed if the maximum output rate is to be sought? (Round up your answer to the next whole number.) Minimum number of workstations What cycle time will provide an output rate of 125 units per day? (Round your answer to 1 decimal place.) Cycle time min/cycle What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes? Cycle Time Potential Output (1) units (2) units

Explanation / Answer

We have the following information

Assembly line have total 17 tasks

length of longest task is 2.4 minutes

Total time of all the task is 18 minutes

Operating time is 450 minutes per day

a. Minimum cycle time = length of longest task = 2.4 minutes

Maximum cycle time = sum of total task times = 18 minutes.

b. Range of daily output

The minimum range will be at 2.4 minutes which is equal to

operating time for the day / length of longest task = 450 / 2.4 = 187.5 units

The maximum range will be at 18 minutes which is equal to

operating time for the day / total task time = 450 / 18 = 25 units

c. the minimum number of workstations needed for the maximum output rate

(The minimum range * length of longest task) / operating time for the day

= (187.5 * 18 ) /450 = 7.5 or rounds to 8

d. Cycle time if output rate is 125 units per day

Cycle time = operating time for the day / output = 450 /125 = 3.6 minutes per cycle

e. Potential output if

1. Cycle time is 9 minutes,

Output = operating time for the day/ cycle time = 450/9 = 50 units

2. Cycle time is 15 minutes,

Output = operating time for the day/ cycle time = 450/15 = 30 units

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