M$.$ P$.$ VanOyen Manufacturing has gone out on bid for a regulator component. Expected demand is $675$ units per month. The item can be purchased from either Allen Manufacturing or Baker Manufacturing. Their price lists are shown in the table. Ordering cost is $$$$55,$ and annual holding cost per unit is $$$$5.$

$$

Allen Mfg$.$

Baker Mfg$.$

Quantity

Unit Price

Quantity

Unit Price

$1-499$

$$$$16\mathrm{.}00$

$1-399$

$$$$16\mathrm{.}10$

$500-999$

$15\mathrm{.}50$

$400-799$

$15\mathrm{.}60$

$1000+$

$15\mathrm{.}00$

$800+$

$15\mathrm{.}10$

Part $2$

$$a$)$ What is the economic order quantity if price is not a$$ consideration? enter your response here units $($round your response to the nearest whole$$ number$).$