Problem $4$

Refer to the Solved Problem $2$ in your textbook, $($or presentation slides$),$ and resolve it again using the changed data below $($D is now $70).$

A company is setting up an assembly line to produce $192$ units per $8-$hour shift. The following table identifies the work elements, times, and immediate predecessors:

Work Element

Time $($sec$)$

Immediate Predecessor$($s$)$

A

$40$

None

B

$80$

A

C

$30$

D$,$ E$,$ F

D

$70$

B

E

$20$

B

F

$15$

B

G

$120$

A

H

$145$

G

I

$130$

H

J

$115$

C$,$ I

Total $765$

a$.$What is the desired cycle time $($in seconds$)?$

b$.$What is the theoretical minimum number of stations?

c$.$Use the longest task time approach to allocate tasks to workstations and show your solution on the table below.

d$.$What is the efficiency and balance delay of the solution found?

e$.$If the company wants to produce more units, which workstation do you think will be limiting it from future production increases $($bottleneck$)?($look at the idle time of each workstation$)$