The manufacturing engineers at a local facility were working on a new product. A production

consultant recommended that they use an assembly line. The workers in the plant work eight

hours per day. The task information for the new product is as follows and must be performed on

an assembly line in the sequence and times specified. There are $480$ minutes available during the

day, and the average daily demand has been $400$ units.

Task Task Time $($Second$)$ Task that must precede

A $50-$

B $40-$

C $20$ A

D $45$ C

E $20$ B$,$ C

F $25$ D

G $10$ E

H $35$ F$,$ G

a$)$ Draw a precedence diagram of the assembly line.

b$)$ What is the cycle time for this assembly line? $($Ans: $72)$

c$)$ What is the theoretical minimum number of stations? $($Ans: $3\mathrm{.}4)$

d$)$ Assign tasks to workstations. $($Ans: AC; DF; BEG; H$)$

e$)$ What is the idle time per cycle? $($ANS: $35$ seconds$)$

f$)$ How much idle time is present each day? $($Ans: $38\mathrm{.}9$ hours$)$

g$)$ What is the overall efficiency of the assembly line? $($Ans: $0\mathrm{.}875$ or $87\mathrm{.}5\%)$