Calculate the length of DST$\text{'}$s operating cycle for $2022.$

Regarding the Cash Conversion Cycle....

$8$a$.$ Calculate the length of DST$\text{'}$s $2022$ cash conversion cycle.

$8$b$.$ Challenge Question: Interpret DST$\text{'}$s cash conversion cycle and tell me who's apparently

doing a good job and who isn't.

The owners of Le trou de l'argent of Trois$-$Rivi$$res$,$ which specializes in high$-$end

snowmobiles, are piloting a new sales approach: They've opened a small pop$-$up shop across

from the food court $($the highest traffic area$)$ in the Champlain Mall in Moncton. It will

operate October through January. They'll carry only the most high$-$performing and expensive

models, such as the Yamaha Sidewinder S$-$TX and the Alpina Superclass $1\mathrm{.}2$LVVT$,$ each of

which will set you back $$30,000$ all$-$in$.$ They will have only six models on display and only a

handful more in the backroom. They hope to sell $100$ of the snow machines during the season

and since the season equals their sales year, they thus expect to sell $100$ for the year. Given

the square$-$footage of the Moncton store, and the extra$-$high rate paid for the prime location

and short$-$term lease $($during the most important sales quarter of the year$),$ carrying costs are

estimated at $$6,000$ per snowmobile $($annualized$).$ When they order, they'll purchase from a

wholesaler in Montr$$al that will charge them a flat fee of $$1,500$ per order, no matter how

many snowmobiles they order. Given all this information, what is their optimal order size?