Calculate the economic order quantity $($EOQ$)$ based upon the following assumptions $(3$ pts $)$:

Annual Sales $2500$ units

Average Sale price per unit $-$ $$555$

Inventory Carrying Cost: $18\%$

Cost per Order $$5500$

Assume all conditions above hold, except that the company's supplier now offers a quantity discount in the form of absorbing all or part of the company's order$-$processing costs for orders of $800$ units or more, the supplier will absorb all the order$-$processing costs, and for orders between $400$ and $800$ units the supplier will absorb half the processing costs. What is the new EOQ? $($Note: See Hint use a table to arrive at the answer$)(5$pts$)$