Costco $($$ Millions$)$ Walmart $($$ Millions$)$

Inventories $ $3,934$ $ $27,680$

Sales $($net$)$ $ $45,220$ $ $291,825$

COGS $ $13,018\mathrm{.}6$ $ $230,578$

Source: Compustat, WRDS$.$

Assume that both companies have an average annual holding cost rate of $30$ percent $($i$.$e$.,$ it costs both retailers $$3$ to hold an item that they procured for $$10$ for one entire year$).$

a$.$ How many days, on average, does a product stay in Costco$$s inventory before it is sold? Assume that stores are operated $365$ days a year. $($Round the answer to $2$ decimal places.$)$

b