$2.$ EOQ HomeworkJoe Henrys machine shop uses $2,500$ brackets during a year. These brackets are purchasedfrom a supplier $90$ miles away. The following information is provided:Annual demand $2,500$ unitsHolding cost per bracket per year $-$ $$1\mathrm{.}50$Order cost per order $-$ $$18\mathrm{.}75$Lead time $2$ daysWorking days per year $250$ daysa$)$ What is the EOQ?b$)$ What is the average inventory?c$)$ What is the optimal number of orders per year?d$)$ What is the optimal number of days between orders?e$)$ What is the annual total inventory cost?f$)$ What is the total annual cost if each item costs $$100?$