An assembly line is to be designed to operate $11$ hours per day and supply a steady demand of $600$ units per day. Here are the tasks and their performance times:

$\backslash$table$[[$TASK$,\backslash$table$[[$PRECEDING$],[$TASKS$]],\backslash$table$[[$PERFORMANCE$],[$TIME $($SECONDS$)]],$TASK,$\backslash$table$[[$PRECEDING$],[$TASKS$]],\backslash$table$[[$PERFORMANCE TIME$],[($SECONDS$)]]],[$a$,-,29,g,$d$,16],[$b$,-,30,$h$,e,36],[$c$,-,45,$i$,f,10],[$d$,$a$,12,$j$,g,8],[e,$b$,35,$k$,h,i,40],[f,C,15,$l$,$j$,$ k$,15]]$

b$.$ What is the workstation cycle time required to produce $600$ units per day?

Workstation cycle time

seconds per unit

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

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

Minimum number of workstations

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

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

$\backslash$table$[[$Work Station,Task,Idle Time$],[$I$,$c$-$f$,6],[$II$,$b$-$e$,1],[$III$,$h$-$a$,1],[$IV$,$d$-$g$-$i$-$j$,20],[$V$,$k$-$I,$11]]$

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.

Efficiency

f$.$ Suppose demand increases by $10$ percent. How would you react to this? Assume you can operate only $11$ hours per day. Note: Round your answers to the nearest whole number.

Reduce

cycle time to

seconds per unit. Another option is to work

minutes overtime.