Vision Company sells optical equipment. Blitz Company manufactures special glass lenses. Vision orders $12,400$ lenses per year, $210$ per week, at $$39$ per ler Blitz covers all shipping costs. Vision earns $20\%$ on its cash investments. The purchase $-$ order lead time is $2\mathrm{.}5$ weeks. Vision sells $265$ lenses per week. The following data are available:

Relevant ordering costs per purchase order

$$46\mathrm{.}25$

Relevant insurance, materials handling, breakage, and so on$,$ per year

$$5\mathrm{.}50$

What is the economic order quantity for Vision?

A$.294$ lenses

B$.383$ lenses

C$.457$ lenses

D$.208$ lenses