$7)$ A retailer sells $10,000$ units of a product annually. The product's supplier offers the following all$-$units quantity d fount schedule: $-$ Ordering cost: $\backslash (\backslash$$ $100\backslash )$ per order $-$ Annual holding cost rate: $\backslash (20\backslash \%\backslash )$ of unit cost $-$ Shortages are not allowed a$)$ Determine the EOQ for each price level where feasible. b$)$ Compute the total cost $($purchase cost $+$ ordering cost $+$ holding cost$)$ for each feasible EOQ. c$)$ Identify the order quantity that minimizes the total cost.