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

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

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

a$)25\mathrm{.}9$ minutes

b$)4\mathrm{.}05$ minutes

c$)5\mathrm{.}34$ minutes

d$)4\mathrm{.}67$ minutes

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

a$)1\mathrm{.}78$ minutes

b$)15$ minutes

c$)3\mathrm{.}9$ minutes

d$)3$ minutes

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

a$)1$

b$)2$

c$)3$

d$)5$

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

a$)1$

b$)2$

c$)3$

d$)5$

e$.$ Was there an opportunity to improve the balance of the line based on cycle time $1)$ yes or $2)$ no

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

a$)3\mathrm{.}0$; $1\mathrm{.}95$; $67\mathrm{.}5\%$

b$)2\mathrm{.}5$; $1\mathrm{.}45$; $83\mathrm{.}7\%$

c$)2\mathrm{.}8$; $1\mathrm{.}55$; $72\mathrm{.}3\%$

d$)3\mathrm{.}2$; $2\mathrm{.}1$; $55\mathrm{.}6\%$

e$)$ same as the orginial calculation

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

a$)286\mathrm{.}17$

b$)1\mathrm{.}95$

c$)312\mathrm{.}56$

d$)332\mathrm{.}14$

e$)6\mathrm{.}53$