$9\mathrm{.}20$ Dr$.$ Lori Baker, operations manager at Nesa Elec$-$ tronics, 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 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$)$ What is the theoretical minimum for the number of worksta$-$ tions that Samuel can achieve in this assembly line?

b$)$ Use the most following tasks heuristic to balance an assembly line for the iStar phone.

c$)$ How many workstations are in your answer to $($b$)?$

d$)$ What is the efficiency of your answer to $($b$)?$