consider a basic economic order quantity $($eoq$)$ model with the following characteristics: item cost: item selling price: monthly demand: annual holding cost: cost per order: order lead time: firm's work year: safety stock: $$15$ $$20500$ units $($constant$)$ $$1\mathrm{.}35$ per unit $$185$ working days $300$ days $(50$ weeks @ $6$ days per week$),15\%$ of monthly demand for this problem, determine the values of: question $(1)$: q$*$ the optimal order quantity and reorder point. $(2)$ M$,$ the maximum quantity in inventory. $(3)$T$,$ the cycle time in working days. $(4)$ What is the annual ordering cost? $(5)$Suppose the vendor demands purchases in multiples of $500$ only. What is the increase in total annual inventory cost that this causes?