$1.$ A batch in a semiautomated machine from a sequential batch production operation consists of $500$ parts. The setup takes $1\mathrm{.}5$ hours. Every cycle, an operator loads the machine in $10$ minutes and unloads the machine in $5$ minutes. The processing time per piece is $4\mathrm{.}5$ minutes per part. Tool and handling time is done in $30$ seconds using an automated robot. Ten parts are produced each cycle. a$=500$

T$\_($su $)=1\mathrm{.}5$hrs

Load time $()/($c$\_($cyce $))=10$min

Unload time $()/()$ cycle $=5$min

T$\_(0)=4\mathrm{.}5$mi$($n$)/($p$)$c

T$\_($t$)=30$mi$($n$)/($p$)$c

Parts $()/()$ Cycle $=10$

Find mi$($n$)/($b$)$utch

T$\_($p$)=$T$\_($su $)+$T$\_($c$)$Qb

T$\_($c$)=10(4\mathrm{.}5+30)0\mathrm{.}5$

Not stated in prompt: Tool handling time unit mi$($n$)/($p$)$C or mi$($n$)/($c$)$ycle

Assume tool and handling unit $=$mi$($n$)/($P$)$C

aT$\_($p$)=3340$mi$($n$)/($b$)$atch

R$\_($p$)=(1)/(3340)=0\mathrm{.}0002994$butc$($h$)/($m$)$in

b$(3340)/(60)=55\mathrm{.}67$hrs

DID I DO IT RIGHT? CAN YOU SOLVE IT AND SEE IF YOU GET THE SAME SOLUTION? THANKS