Razorback Commodities Inc. distributes office supplies to universities across the United States. Its highest selling item is the $500$ Count Basic Copy Paper. The company is interested in determining the right size of order it should place with its supplier. Given the following information, calculate the Economic Order Quantity $($EOQ$)$ for the $500$ Count Basic Copy Paper $($Please round up to the nearest whole number$)$:

Annual rate of demand $($R$)=10,000$ units

Order and set up costs $($A$)=$ $$50$ per order

The cost of one unit of copy paper $($V$)=$ $$25$

The carrying cost per dollar value in percent $($W$)=15\%$

The EOQ is

a$.$

$516$ units

b$.$

$652$ units

c$.$

$425$ units

d$.$

$725$ units