The demand for a product is $12,500$ units for a three$-$month period. Each unit of product has a purchase price of $$15$ and ordering costs are $$20$ per order placed. The annual holding cost of one unit of the product is $10\%$ of its purchase price. What is the Economic Order Quantity $($to the nearest unit$)?*$

a$)577$

b$)1,155$

c$)1,816$

d$)1,866$