Dr$.$ Lori$$ Baker, operations manager at Nesa$$ Electronics, prides herself on excellent$$ assembly$-$line balancing. She has been told that the firm needs to complete $96$ instruments per $24-$hour day. The$$ assembly$-$line activities$$ are:

$$

Task

Performance

Time$($mins$)$

Predecessors

Task

Performance

Time$($mins$)$

Predecessors

A

$4$

minus

G

$5$

F

B

$6$

minus

H

$8$

$$D$,$ E

C

$8$

A

I

$2$

H

D

$7$

$$A$,$ B

J

$8$

E

E

$3$

B

K

$2$

$$G$,$ I, J

F

$4$

C

This exercise only contains parts$$ b$,$ c$,$ d$,$ e$,$ f$,$ and g$.$

Part $2$

$$b$)$ For the given daily $(24-$hour$)$ production rate of $96$units$,$ the highest allowable cycle time$=$

$$

$15$ minutes $($enter your response as a whole number$).$

Part $3$

$$c$)$ If the cycle time after allowances is given as $10$minutes$,$ then the effective daily $(24-$hour$)$ production rate$=$

$$

$144$ units $($enter your response as a whole number$).$

Part $4$

$$d$)$ For the given $10-$minute cycle time after$$ allowances, the theoretical minimum number of workstations$=$

$$

$6($round your response up to the next whole$$ number$).$

Part $5$

$$e$)$ Using the longest assigned task time of all of the workstations and $6$workstations$,$ the operating efficiency of the assembly line$=$

$$

enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$