Problem $5-4($Algo$)$

The Carry$-$on Luggage Company must set up an assembly line for a wheeled carry$-$on bag. Forecasts show that $55$ units per hour should be produced. The tasks required, task times, and precedence relationships are as follows:

$\backslash$table$[[$Task$,$Time $($seconds$),$Predecessors$],[$A$,31,-],[$B$,45,$A$],[$C$,27,$A$],[$D$,14,$B$],[$E$,22,$B$],[$F$,21,$B$],[$G$,8,$C$,$ E$,$ F$],[$H$,42,$D$,$ G$]]$

pictureClick here for the Excel Data File

a$.$ What is the takt time?

b$.$ What is the theoretical number of workstations?

c$.$ Assign the tasks to the workstations to balance the line using the longest operating time rule.

d$.$ What is the efficiency of the balanced line?