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Unit 11: Inventory Management



            Inventory storage costs: The following are included in these costs:                   Notes

                Cost of lost sales
                Cost of inefficient production runs
                Cost of substituting more expensive raw materials
                Penalty costs for late completion of contracts.
            Inventory ordering costs and inventory carrying costs are used to compute the optimum size
            inventory. Inventory shortage costs are included in  determining the optimum re-order point
            for inventory items.
            Re-order point: The economic order quantity provides a manager with information about the
            optimum order size for a particular item of inventory but it does not provide information about
            when the order should be placed. The re-order point is the inventory level of which the order is
            placed. If a firm has the ability to buy and receive inventory items instantly, a new order is
            placed when there are no more units on hand.
            Unfortunately, few firms are able to get instant deliveries. Sometime is required between placing
            an order and receipt of the goods. This time period is called lead-time. If the lead-time is known
            and daily demand is known, the reorder point is easy to find.


                   Example: SWT Company has a lead-time of 8 days for tyre orders. The daily demand is
            50 tyres. The lead-time demand or demand during lead-time is 8 × 50 = 400 tyres. If the company
            plans to receive a new tyre shipment just as the inventory reaches zero, it should place an order
            when the inventory level reaches 400 tyres. A new order is placed at an inventory level of
            400 tyres, 8 days before inventory reaches zero.

            11.1.3 Inventory under Uncertainty and Safety Stock
            The use of lead-time and lead-time demand in the analysis of reorder point assumes a known
            constant demand and lead-time often one or both of these fluctuate and are not known. Demand
            in particular is difficult to predict, because it can change from day-to-day. Delivery of inventory
            is affected by the suppliers inventory levels and operating efficiency, as well as, by variations in
            delivery schedules of common carriers.
            When lead-time or demand is uncertain, the analysis of the inventory reorder point is complicated.
            There  may be  a  situation  of possibility of remaining  out of  inventory, which  is known  as
            stockout. Running out of stock involves cost by way of lost profit in potential sales, customers
            ill will, or the loss of the customer altogether. Raw materials inventory stockouts may cause
            expensive start up costs, production inefficiencies, a switch to more expensive raw materials or
            penalty costs for late delivery of contracted goods. Often, it is difficult to estimate stockout costs.
            In order  to avoid stockout costs, firms sometimes carry a safety stock,  which is  additional
            inventory above what is needed. Safe stock is a cushion that the management uses to avoid on
            interruption of normal activities due to stockouts.
            The optimum  inventory strategy is to increase  safety stock as long  as cost  of carrying  the
            additional inventory is less than the expected cost of stockouts. The expected stockout cost is the
            cost of the stock out multiplied by its probability of occurring.


                   Example: gross margin is   35 per unit. Expected demand of 50 units per day means that
            a 1-day stock-out results in a stock out cost of   35 × 50 or   1,750. Management estimates that
            with the safety stock, there is a 30 per cent chance of stock out. The expected cost of a stockout is:
                          Expected stockout = stock out cost × probability of stockout
                                          =   1750 × 0.30 =   525



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