An electronics manufacturer makes remote control devices for interactive$-$cable$-$TV systems. The following assembly tasks must be performed on each device.

Task

Description

Predecessor$($s$)$

Time $($min$.)$

A

Place circuit into circuit frame

$--$

$0\mathrm{.}50$

B

Solder circuit connections to central circuit control

A

$0\mathrm{.}70$

C

Place circuit assembly in device frame

B

$0\mathrm{.}40$

D

Attach circuit assembly to device frame

C

$0\mathrm{.}30$

E

Place and attach display to frame

$--$

$0\mathrm{.}30$

F

Place and attach keypad to frame

$--$

$0\mathrm{.}20$

G

Place and attach top body of device to frame

E$,$ F

$0\mathrm{.}35$

H

Place and attach battery holder to frame

D

$0\mathrm{.}40$

I

Place and attach bottom body of device to frame

G$,$ H

$0\mathrm{.}60$

J

Test device

I

$0\mathrm{.}30$

Draw the precedence diagram for this problem, then determine the following:

a$.$ What is the sum of the task times?

$4\mathrm{.}05$

minutes

b$.$ What cycle time will allow the production of $200$ units over a ten$-$hour day?

$3$

minutes

c$.$ What is the theoretical number of workstations needed?

$2$

d$.$ What is the actual number of stations?

$5$

e$.$ Was there an opportunity to improve the balance of the line based on cycle time?

$[$ Select $]$

If so$,$ what is the new cycle time, idle time and efficiency?

$[$ Select $]$

f$.$ Based on your answer to e$.$ what is the total idle time over the $10$ hour work day, in minutes?

$[$ Select $]$