HW $($i$)$

Problem $6-19($Algo$)$

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

$\backslash$table$[[,,$TASKS THAT MUST$],[$TASK$,$SECONDS,PRECEDE$],[$A$,30,-],[$B$,16,$A$],[$C$,21,$B$],[$D$,15,$B$],[$E$,17,$C$],[$F$,14,$D$],[$G$,20,$E$,$ F$],[$H$,9,$G$]]$

The workday is $8$ hours long. The demand for completed product is $900$ per day.

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

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

Cycle time

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

$$

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

Efficiency

f$.$ Suppose that demand rose from $900$ to $1,000$ 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.

cycle time to

seconds, which may require rebalancing the line.

g$.$ Suppose that demand rose from $900$ to $1,400$ 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.

cycle time to

seconds, which may require rebalancing the line.

$$

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

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

Cycle time

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

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$],[1,,],[2,,],[3,,],[4,,],[5,,]]$