The following table shows financial data $($year $2004)$ for Costco Wholesale and Walmart, two major U$.$S$.$ retailers.

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

Inventories $ $3,607$ $ $30,330$

Sales $($net$)$ $ $43,776$ $ $260,354$

COGS $ $11,824\mathrm{.}3$ $ $213,338$

Source: Compustat, WRDS$.$

Assume that both companies have an average annual holding cost rate of $20$ percent $($i$.$e$.,$ it costs both retailers $$2$ to hold an item that they procured for $$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$.$ Compute the per$-$unit inventory costs of a household cleaner valued at $$5$ COGS for both Costco and Walmart. Assume that the unit cost of the household cleaner is the same for both companies and that the price and the inventory turns of an item are independent.

$($Do not round intermediate calculations. Round the answers to $4$ decimal places.$)$b$.$ Compute the per$-$unit inventory costs of a household cleaner valued at $$5$ COGS for both Costco and Walmart. Assume that the unit

cost of the household cleaner is the same for both companies and that the price and the inventory turns of an item are independent.

$($Do not round intermediate calculations. Round the answers to $4$ decimal places.$)$

Costco per unit inventory cost

Walmart per unit inventory cost