Problem $5-5($Algo$)$

Wild Widget must set up an assembly line for widgets. Forecasts show that $42$ units per hour should be produced. The tasks required, task times, and precedence relationships are as follows:

$\backslash$table$[[$Task$,$Time $($seconds$),$Predecessors$],[$A$,15,-],[$B$,37,$A$],[$C$,17,$A$],[$D$,45,$C$,$ B$],[$E$,17,$D$],[$F$,19,$D$],[$G$,44,$E$,$ F$]]$

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?

e$.$ If demand decreased to $32$ units per hour, what would be the new takt time?