The Zurich Watch Corporation manufactures watches on a conveyor belt with six stations. One worker stands at each station and performs the following tasks.

STATION TASKS PROCESSING TIME $($Seconds$)$

A: Preparation $1$ Heat$-$stake lens to bezel

Inspect bezel

Clean switch holes

Install set switch in bezel

TOTAL TIME FOR A $14$

$26$

$10$

$18$

$68$

B$.$ Preparation $2$ Check switch travel

Clean inside bezel

Install module in bezel

TOTAL TIME FOR B $23$

$12$

$25$

$60$

C$.$ Battery installation Install battery clip on module

Heat$-$stake battery clip on module

Install two batteries in module

Check Switch

TOTAL TIME FOR C $20$

$15$

$22$

$13$

$70$

D$.$ Band installation Install band

Inspect band

TOTAL TIME FOR D $45$

$13$

$58$

E$.$ Packaging Preparation Cosmetic inspection

Final test

TOTAL TIME FOR E $20$

$55$

$75$

F$.$ Watch packaging Place watch and cuff in display box

Place cover in display box base

Place owner$$s manual, box in tub

TOTAL TIME FOR D $20$

$14$

$30$

$64$

These six workers begin their work at $8$:$00$ a$.$m$.$ and work steadily until $4$:$00$ p$.$m$.$ At $4$:$00,$ no new watch parts are introduced into station A and the conveyor belt continues until all of the work$-$in$-$process inventory has been processed and leaves the station. Thus, each morning the workers begin with an empty system.

a$.$ What is the bottleneck in the process?

b$.$ What is the capacity, in watches per hour, of the assembly line $($ignore the time it takes for the first watch to come off the line$)?$

c$.$ What is the direct labor content for the processes on this conveyor belt?

d$.$ What is the throughput time?

e$.$ What is the average work$-$in$-$process inventory?

f$.$ What is the utilization of the worker in station B $($ignore the time it takes for the first watch to come off the line$)?$

g$.$ E$.$ How many minutes of idle time will the worker in station C have in one hour $($ignore the time it takes for the first watch to come off line$)?$

h$.$ What time will it be $($within one minute$)$ when the assembly line has processed $193$ watches on any given day.