The following information relates to Unique Ltd for the year $2020$:

Annual Demand $408,375$ units

Annual cost of Holding $1\mathrm{.}50$

Annual cost of placing an order $500$

Required:

$($i$)$ Calculate the EOQ

$($ii$)$ Calculate the average inventory

$($iii$)$ Calculate the total annual ordering cost

$($iv$)$ Calculate the total annual inventory cost $($excluding the purchase cost$)$