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Problem $5-7($Algo$)$

Williams Motor Manufacturing assembles small motors for sale to major appliance manufacturers around the world. Average demand for its best$-$selling motor is $525$ units per day. The assembly line operates continuously during a single $8-$hour shift. The tasks required, task times, and precedence relationships are:

Task Time $($seconds$)$ Predecessors

A $14$

B $24$

C $21$

D $26$ A

E $16$ C

F $36$ B$,$D

G $24$ E

H $28$ F$,$G

I $18$ H

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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?

If demand increased to $625$ motors per day, what would be the new takt time?