A manufacturer has a production facility that requires $19,931$ ?units of component JY $21$ ?per year. Following a long $-$ term contract, the manufacturer purchases component JY $21$ ?from a supplier with a lead time of $15$ ?days. The unit purchase cost is $ $12\mathrm{.}2$ ?per unit. The cost to place and process an order from the supplier is $ $118$ ?per order. The unit inventory carrying cost per year is $19$ ?percent of the unit purchase cost. The manufacturer operates $250$ ?days a year. Assume EOQ model is appropriate. What is the optimal number of orders per year?

Use at least $4$ ?decimal places.