Problem $6-17($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 $9\mathrm{.}25$ hours per day. The output requirement is $900$ units per day.

$\backslash$table$[[$PRECEDING$],[$TASK$,$TASKS,TIME,$($SECONDS$)],[$A$,-,25,],[$B$,$A$,10,],[$C$,$A$,20,],[$D$,$B$,16,],[$E$,$B$,18,],[$F$,$C$,20,],[$G$,$C$,15,],[$H$,$D$,12,],[$I$,$E$,14,],[$J$,$F$,$ G$,10,],[$K$,$H$,$ I,$9,],[$L$,$J$,$ K$,8,]]$

a$.$ What is the required workstation cycle time to meet the desired output rate?

Workstation cycle time

seconds per unit

b$.$ Balance the line using the longest task time based on the $900-$unit forecast, stating which tasks would be done in each workstation. Note: Leave no cells blank $-$ be certain to enter $"$O$"$ wherever required.

$\backslash$table$[[$Work Station,Task,Idle Time$],[1,,],[2,,],[3,,],[4,,],[5,,],[6,,]]$

c$.$ What is the efficiency of your line balance, assuming it is running at the cycle time determined in part a$?$

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

Efficiency

d$.$ After production was started, Marketing realized that they understated demand and must increase output to $1,000$ units. What action would you take?

Note: Round your answer for cycle time down to the nearest whole number. Round your answer for overtime up to the nearest whole number.

cycle time to

seconds or work

minutes of overtime.