A paced assembly line has been devised to manufacture calculators, as the following data show: Station Work ElementAssigned Work ElementTime (min) S1 S2 S3 S4 S5 S6 A D,E C B,F,G H,I,J K 2.7 0.6, 0.9 3.0 0.7, 0.7, 0.9 0.7, 0.3, 1.2 2.4 a. What is the maximum hourly output rate from this line? (Hint: The line can go only as fast as its slowest workstation.)b. What cycle time corresponds to this maximum output rate?c. If a worker is at each station and the line operates at this maximum output rate, how much idle time is lost during each 10-hour shift?d. What is the line’s efficiency?

Practical Management Science
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A paced assembly line has been devised to manufacture calculators, as the following data show:

Station Work Element
Assigned
Work Element
Time (min)

S1

S2

S3

S4

S5

S6

A

D,E

C

B,F,G

H,I,J

K

2.7

0.6, 0.9

3.0

0.7, 0.7, 0.9

0.7, 0.3, 1.2

2.4

a. What is the maximum hourly output rate from this line? (Hint: The line can go only as fast as its slowest workstation.)
b. What cycle time corresponds to this maximum output rate?
c. If a worker is at each station and the line operates at this maximum output rate, how much idle time is lost during each 10-hour shift?
d. What is the line’s efficiency?

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