Using the information contained in the table shown, do each of the following:

$\backslash$table$[[$Task$,\backslash$table$[[$Performance time$],[($minutes$)]],$Task must follow This task$],[$A$,5,----],[$B$,3,$A$],[$C$,4,$B$],[$D$,3,$B$],[$E$,6,$C$],[$F$,1,$C$],[$G$,4,$D$,$E$,$F$],[$H$,2,$G$]]$

a$.$ Assuming a plant runs for eight$-$hour every day and six days a week, compute the desired cycle time needed to obtain a weekly output of $360$ units.

b$.$ Determine the theoretical number of workstations required in this assembly line.

c$.$ Assign tasks to the workstations using longest task time rule.

d$.$ Compute the efficiency of the system and calculate idle time per cycle.

e$.$ Explain the possible ways to improve the efficiency of the system using relevant examples.