Problem $8-7($Algo$)$

Some tasks and the order in which they must be performed according to their assembly requirements are shown in the following table. These are to be combined into workstations to create an assembly line. The assembly line operates $7\mathrm{.}5$ hours per day. The output requirement is $675$ units per day.

TASK PRECEDING TASKS TIME $($SECONDS$)$ TASK PRECEDING TASKS TIME $($SECONDS$)$

A $25$ G C $18$

B A $23$ H D $14$

C A $14$ I E $15$

D B $8$ J F$,$G $16$

E B $21$ K H$,$I $10$

F C $20$ L J$,$K $10$

What is the workstation cycle time required to produce $675$ units per day?

Balance the line using the longest task time rule based on the $675-$unit forecast, stating which tasks would be done in each workstation.

Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required.

For $($b$),$ what is the efficiency of your line balance, assuming it is running at the cycle time from part $($a$)?$

Note: Round your answer to $1$ decimal place.

After production was started, Marketing realized that it understated demand and must increase output to $775$ units. There are two options: reduce cycle time or work overtime. Please identify the following:

Note: Round your answers to the nearest whole number.