TASK TIME $($min$)$ PREDECESSORS

A $3$

B $6$

C $7$ A

D $5$ A$,$ B

E $2$ B

F $4$ C

G $5$ F

H $7$ D$,$ E

I $1$ H

J $6$ E

K $4$ G$,$ I, J

$50$

a$)$ Draw the precedence diagram.

b$)$ If the daily $(24-$hour$)$ production rate is $96$ units, what is the

highest allowable cycle time?

c$)$ If the cycle time after allowances is given as $10$ minutes, what

is the daily $(24-$hour$)$ production rate?

d$)$ With a $10-$minute cycle time, what is the theoretical minimum

number of stations with which the line can be balanced?

e$)$ With a $10-$minute cycle time and six workstations, what is the

efficiency?

f$)$ What is the total idle time per cycle with a $10-$minute cycle

time and six workstations?

g$)$ What is the best workstation assignment you can make

without exceeding a $10-$minute cycle time, and what is its

efficiency?