Question $9$

PetSmart operates $48$ weeks per year and uses a continuous review inventory system. It purchases dry dog food for $\backslash (\backslash$$ $16\backslash )$ per bag. The following information is available about these bags. Refer to the standard normal table at bottom of this page.

Average demand $\backslash (=94\backslash )$ bags$/$week

Order cost $\backslash (=\backslash$$ $40\backslash )/$order

Annual holding cost $\backslash (=25\backslash )$ percent of the unit cost

Desired cycle$-$service level $\backslash (=89\mathrm{.}97\backslash )$ percent

Lead time $\backslash (=1\backslash )$ week constant

Standard deviation of weekly demand $\backslash (=16\backslash )$ bags

Current on$-$hand inventory is $300$ bags, with no open orders or backorders.

What is the EOQ? $($Enter your response rounded to the nearest whole number.$)$