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 following information 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: $2$ days Working days per year: $2501)$ What is the EOQ?II$)$ What is the average inventory if the EOQ is used? What would be the annual inveritory holding cost?iii$)$ What is the optimal number of orders per year? What would be the annual order 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$)?$