Swoosh Snowboard Company must set up an assembly line for snowboards. Forecasts show that $640$ units per day should be produced. The plant operates two $8-$hour shifts each day and runs the line continuously during both shifts. The tasks required, task times, and precedence relationships are as follows:

Task Time $($seconds$)$ Predecessors

A $40$

B $32$ A

C $34$ A

D $39$

E $29$ B

F $45$ D

G $50$ C$,$ E$,$ F

H $35$ G

What is the takt time?

What is the theoretical number of workstations?

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

What is the efficiency of the balanced line?