Consider a process that has 3 stations, ordered in sequence: A, B and C. At each

Question

Consider a process that has 3 stations, ordered in sequence: A, B and C. At each station, two consecutive tasks are performed one after the other. The time (in seconds per unit) it takes for a single person to perform each task is given in the table below (e.g., task A2 takes 60 seconds per unit):

Station

# of

Workers

Task A1

Task

A2

Task

B1

Task

B2

Task

C1

Task C2

A

2

70

60

-

-

-

-

B

1

-

-

20

20

-

-

C

1

-

-

-

-

15

15

The table also gives the number of workers at each station. What is the capacity of this process (in units per minute)? Remember bottleneck determines the capacity of the process. (The accuracy should be of two digits after the decimal places.)

Please include the explanation.

Station

# of

Workers

Task A1

Task

A2

Task

B1

Task

B2

Task

C1

Task C2

A

2

70

60

-

-

-

-

B

1

-

-

20

20

-

-

C

1

-

-

-

-

15

15

Explanation / Answer

Answer: The capacity of station 1 is 60/(60+70) = 0.461 units/min. Station 2 is 60/(20+20) = 1.5 units/min per worker, or 2 x 1.5 = 3 unit/min in total. Station 3 is 60/(15+15) = 2 units/min.The capacity of the entire process is the capacity of the bottleneck, which is the slowest step.That is station A, which produces 0.461 units/min.

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