The EastCoasters Bicycle Shop pays $$500$ for a particular bicycle purchased from the manufacturer. The annual holding cost per bicycle is estimated to be $25\%$ of the dollar value of inventory. The shop sells $25$ bikes per week. The ordering cost for each order is $$350.$ Determine the optimal order quantity. A year has $52$ weeks. Choose the closest option.

Select one:

a$.$

$86\mathrm{.}34$

b$.$

$78\mathrm{.}41$

c$.$

$72\mathrm{.}89$

d$.$

None of the choices

e$.$

$80\mathrm{.}72$

f$.$

$76\mathrm{.}93$

g$.$

$91\mathrm{.}37$

h$.$

$85\mathrm{.}32$