Problem $6-15($Algo$)$

An assembly line is to operate eight hours per day with a desired output of $236$ units per day. The following table contains information on this product's task.times and precedence relationships:

$\backslash$table$[[$TASK TIME,IMMEDIATE,$],[$TASK$,($SECONDS$),$PREDECESSOR$],[$A$,90,-],[$B$,60,$A$],[$C$,55,$A$],[$D$,50,$A$],[$E$,40,$B$,$ C$],[$F$,30,$C$,$ D$],[$G$,60,$E$,$ F$],[$H$,60,$G$]]$

b$.$ What is the required workstation cycle time to meet the desired output rate? Note: Round your answer to the nearest whole number.

Workstation cycle time

seconds per unit

$\backslash$table$[[+,30],[G,60],[H,60]]$

$L,U$

$E,F$

$G$

b$.$ What is the required workstation cycle time to meet the desired output rate? Note: Round your answer to the nearest whole number.

Workstation cycle time $,$:dots....... seconds per unit

c$.$ Balance this line using the longest task time.

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

$\backslash$table$[[$Work Station,Task,$\backslash$table$[[$Idle Time$],[($in seconds$)]]],[1,$A$,],[2,$B$-$C$,],[3,$D$-$E$-$F$,],[4,$G$-$H$,]]$

$$

$\backslash$table$[[2,$B$-$C$,],[3,$D$-$E$-$F$,],[4,$G$-$H$,]]$

d$.$ What is the efficiency of your line balance, assuming it is running at the cycle time determined in part $b?$ Note: Round your answer to $1$ decimal place.