$2.$ Globe Inc. is a distributor of DVDs$.$ DVD Mart is a local retail outlet which sells blank and recorded DVDs$.$ DVD Mart purchases DVDs from Globe at $$28\mathrm{.}00$ per DVD; DVDs are shipped in packages of

$68.$ Globe pays all incoming freight, and DVD Mart does not inspect the DVDs due to Globe's reputation for high quality. Annual demand is $320,000$ DVDs at a rate of $6,900$ DVDs per week. DVD Mart earns $13\%$ on its cash investments. The purchase$-$order lead time is one week. The following cost data are available:

Relevant ordering costs per purchase order

Carrying costs per package per year:

Relevant insurance, materials handling, breakage, etc., per year

What is the economic order quantity?

A$)67\mathrm{.}41$ packages

B$)47\mathrm{.}14$ packages

C$)6\mathrm{.}10$ packages

D$)66\mathrm{.}67$ packages