Question $3$: We are producing four products, A$.$ D$,$ C and D on a CNC Machine whete each of these products requires one operation on this machine. Aversge production tirnes $($TP$)$ are given below. The Chic machine operates. AT $=40$ hours per week.

a$)$ We set the weekly production targets of products B$,$ C$,$ D to zero. Calculate the maximum weekly production target value for product $A$ so that the Utilization will be $80\%$

b$)$ Calculate the weekly Work Load $($hr$/$week$)$ and the Utilization $(\%)$ of the CNC Machine given that the weekly production targets of products A$,$ B$,$ C$,$ D are $48,80,48,48($part$/$week$),$ respectively.

c$)$ We set the weekly production targets of products A$,$ B$,$ C to $36,60,24,$ respectively. Calculate the maximum weekly production target value for product $D$ so that the Utilization will be $80\%.$

$TC=TO+TH+TTH$

$TB=$TSU$+Q*TC$

$TP=T\frac{B}{Q}$

$RPC=\frac{60}{T}P$

$WL={\displaystyle \underset{?}{\overset{?}{}}}(TP(p{)}^{**}x(p))$

single part type The maching a workstation with one worker and gultiple identical machines producing a loaded to the machine and finished work parts are unlo part takes $22$ minutes. Unopocesoed work parts are $5$ minutes and unloading takes $2$ minutes. The worker inspects the completed work part afier uning taking to irregularities and prepares the new work part for the Rext orcle. Inspection takes $1$ minutes and sreparation not process any other part and must wait whille being loes not need worker supervision. The machine can preparation does not occupy the machine are done by the worker manually. Caloulate the Cycle Time $(mi\frac{n}{p}),$ worker idle time $($min$/$oycle$),$ machine idle time $($min$/$oycle$),$ and the production rate capacily $($parts$/$hr$)$ for the two scenarios below: $n=3$ and $n=4$ machines. Reminders: production rate capecity is the sum of all $n$ machines, machine idle time is for each machine not a total.

$7$

Question $2$: Consider a manufacturing facility with $36$ machines. These machines, on average, after being repaired work for $150$ hours and take $6$ hours to repair. Each repair costs $180$ TUrepair. The hourly cost of machine being repaired $($downtime cost$)$ is $400$ TL$/$repair$.$ The facility operates $10$ shifts$/$week$.8h\frac{r}{?}$ shi and $50$ weeks$/$year$.$ Calculate the availability of a machine. Calculate the expected number of mactines running condition if we visit the facility at a random time $($hint: recall the Lutle's Law approach$).$ Calcula the total expected cost of repairs on all machines per year and the total expected cost of downtime of machines per year.

$TP=T\frac{B}{Q}$

$U=W\frac{L}{A}T$

$RPC=\frac{60}{T}P$

$TC=$max$(TO+TH,n**(TH+TJ))$

$RPC=n^{**}(\frac{60}{T}C)$

$PC=n^{**}n{s}^{**}n{h}^{**}RPC$

Num Flow, Time in Sys "Rate in Sys

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