A brewing company currently places orders monthly for the widgets used in its bottling process. The demand for the widgets is $64,217$ per year. Each widget is bought for $0\mathrm{.}06$ and each order costs $9.$ The holding costs are currently $12\%$ of the purchase price.

$($a$)$ How many widgets are ordered per month?

$($b$)$ Calculate the economic order quantity?

$($c$)$ How many orders should the company place per year?

$($a$)$ The company currently orders widgets per month. $($Round to the nearest whole number.$)$