Problem $6-19($Algo$)$

The following tasks are to be performed on an assembly line:

$\backslash$table$[[$TASK$,$SECONDS,TASKS THAT MUST$],[$A$,28,$PRECEDE$],[$B$,6,-],[$C$,10,$A$],[$D$,30,$B$],[$E$,20,$C$],[$F$,18,$D$],[$G$,14,$E$,$ F$],[$H$,10,$G$]]$

The workday is $7\mathrm{.}4$ hours long. The demand for completed product is $720$ per day.

a$.$ Find the cycle time required to meet the desired output rate.

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

Cycle time

$37\mathrm{.}0$

seconds per unit

b$.$ What is the theoretical number of workstations required to meet the desired output rate? Note: Round up your answer to the next whole number.

Number of workstations

$4$

d$.$ Balance the line using sequential restrictions and the longest$-$operating$-$time rule. Determine the task under each workstation and the idle time for each such task.

Note: Leave no cells blank $-$ be certain to enter $"$O$"$ wherever required. Round your answers to $1$ decimal place.

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

e$.$ What is the efficiency of the line balanced as in part $($d$)$ assuming it is running at the cycle time determined in part $($a$)?$ Note: Round your answer to $1$ decimal place.

Efficiency

$91\mathrm{.}9$

f$.$ Suppose that demand rose from $720$ to $770$ units per day. Determine the cycle time. Use the solution obtained in part $($d$).)$ Note: Round your answer for cycle time down to the nearest whole number.

Reduce

cycle time to

$29$

seconds, which may require rebalancing the line.