In an economic order quantity model $($square root of $(2$ D S $/$ H$)),$ these were estimated:

D $=5000$ per year, S $=$ $$45$ per order, H $=$ $ $5$ per item per year.

The economic order quantity was seen to be $300$ units at a time $($with about $17$ orders per year$).$

If the set up cost $($order cost$)$ is reduced from $45$ to $17,$ what would be the new economic order quantity?

$($Don$\text{'}$t round the result, give answer to two decimal places$)$