$($a$)$ Joe Henry's machine shop uses $2,500$ brackets during the course of a year.These brackets are purchased from a supplier $90$ miles away. The followinginformation is known about the brackets: $[6$ marks$]$Annual demand: $2,500$Holding cost per bracket per year: $$1\mathrm{.}50$Order cost per order: $$18\mathrm{.}75$Lead time: $2$ daysWorking days per year: $250$i$)$ What is the EOQ?ii$)$ What is the average inventory if the EOQ is used? What would be the annualinventory holding cost?iii$)$ What is the optimal number of orders per year? What would be the annualorder cost?iv$)$ What is the total annual cost of managing the inventory?v$)$ What is the optimal number of days in between any two orders?vi$)$ What is the reorder point $($ROP$)?$