311 An assembly line with 17 tasks is to be balanced The lon

3.1.1

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.)

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.)

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.)

What cycle time will provide an output rate of 125 units per day? (Round your answer to 1 decimal place.)

What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes?

Solution

Solution operational time (OT) = 450 minutes

(a) Minimum cycle time = length of longest task, which is 2.4 minutes.

Maximum cycle time = task times = 18 minutes.

( b) Range of output:

@2.4 min: 450/2.4 = 187.5 units which rounds to 188 units

@18 min: 450/18 =25 units

(c) Minimum number of workstations needed:

N= Dx t / OT = 187.5(18) /450=7.5 which rounds to 8

(d) Cycle time Output rate

Output rate= OT/CT , to Solve this CT, CT = 450/125= 3.6 Minutes per cycle, which rounds to 4 minutes(output rate is given in question:125)

(e) Potential output:

(1) CT = 9 mins: =OT/CT =450/9 = 50 Units

(2) CT=15 mins:=OT/CT=450/15=30 unit