Problem $6-19($Algo$)$

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

TASK SECONDS TASKS THAT MUST PRECEDE

A $28$

B $6$ A

C $10$ B

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.

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

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

What is the theoretical number of workstations required to meet the desired output rate?

Note: Round up your answer to the next whole number.

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 $"0"$ wherever required. Round your answers to $1$ decimal place.

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.

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.

Suppose that demand rose from $720$ to $900$ 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.