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 at least $96$ 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

Total

$50$