Problem $6-18($Algo$)$

An assembly line is to be designed to operate $13$ hours per day and supply a steady demand of $325$ units per day. Here are the tasks and their performance times:

TASKPRECEDING TASKSPERFORMANCE TIME $($SECONDS$)$TASKPRECEDING TASKSPERFORMANCE TIME $($SECONDS$)$a$50$gd$45$b$60$he$40$c$75$if$25$da$65$jg$35$eb$90$kh$,$i$55$fc$25$lj$,$k$69$

b$.$ What is the workstation cycle time required to produce $325$ units per day?

c$.$ What is the theoretical minimum number of workstations?

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

d$.$ Assign tasks to workstations using the longest operating time.

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

e$.$ What is the efficiency of your line balance, assuming it is running at the cycle time from part $($b$)?$

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

f$.$ Suppose demand increases by $10$ percent. How would you react to this? Assume you can operate only $13$ hours per day.

Note: Round your answers to the nearest whole number.