Consider the nine task assembly line balancing problem whose task times and precedence

relations are given in the following table. The company produces $150$ units per week. A week

includes $5$ working days and each day includes an eight$-$hour shift.

Task

Time $($min$)$

Precedence

$6$

$8$

A$,$ B

$10$

C$,$ D

$7$

D

G

$10$

E$,$ F

H

$5$

G

a$)$ What is the cycle time? $(2,5$ pts$)$

b$)$ What is the theoretical minimum number of workstations? $(2,5$ pts$)$

c$)$ Construct a precedence diagram for this assembly line and assign the above nine tasks

to work stations using the Kilbridge and Wester methodology. $(15$ pts$)$

d$)$ Find the line efficiency, balance delay and smoothness index. $(10$ pts$)$