A retailer uses the EOQ model with uncertain demand rate (and positive lead time) to manage the inventory of a product. Which of the following expressions calculates the annual inventory turnover? Note: 1-D is the annual demand, Q is the order quantity, H is the unit annual holding cost, S is the fixed ordering cost and SS is the safety stock. 2-Value of inventory and cost of goods are both measured by the purchase cost of the product. Recall that inventory turnover is calculated based on the annual goods sold, which is equal to the annual demand, and the average inventory value. 2DS/H D Q/2 + SS Previous Page V 06 D D Q D Q/2
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- A store has collected the following information on one of its products:Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% (z for 90% = 1.28) Lead-time = 2 weeks Number of weeks per year = 52 weeks a. If a firm uses the continuous review system to control the inventory, what would be the order quantity and reorder point?A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics: > Demand (D) = 2,000 units/year > Demand is normally distributed > Standard deviation of weekly demand = 2 units > Ordering cost = $30/order > Annual holding cost (H) = $5.00/unit > Desired cycle-service level = 85% > Lead time (L) = 4 weeks Refer to the standard normal table for z-values. a. If the company uses a periodic review system, P should be 3.87 weeks. (Enter your response rounded to the nearest whole number.) T should be units. (Enter your response rounded to the nearest whole number.)Annual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?
- Cheryl Druehl has asked you to help her determinethe best ordering policy for a new product. The demand for thenew product has been forecasted to be about I ,000 units annually.To help you get a handle on the carrying and ordering costs,Cheryl has given you the list of last year's costs. She thought thatthese costs might be appropriate for the new product. She also told you that these data were compiled for 10,000 inventoryitems that were carried or held during the year. You havealso determined that 200 orders were placed last year. Your job as a new opera tions management graduate is to help Cheryl determinethe economic order quantity for the new product.You are in charge of inventory control of a highly successful product retailed by your firm. Weekly demand for this item varies, with an average of 200 units and a standard deviation of 16 units. It is purchased from a wholesaler at a cost of $12.50 per unit. You are using a continuous review system to control this inventory. The supply lead time is 4 weeks. Placingan order costs $50, and the inventory carrying rate per year is 20 percent of the item’s cost. Your firm operates 5 days per week, 50 weeks per year.a. What is the optimal ordering quantity for this item?b. How many units of the item should be maintained as safety stock for 99 percent protection against stockouts during an order cycle?c. If supply lead time can be reduced to 2 weeks, what is the percent reduction in the number of units maintained as safety stock for the same 99 percent stockout protection?d. If through appropriate sales promotions, the demand variability is reduced so that the standard deviation of weekly…Suppose the demand of a product in a retail store is 800 per year and it occurs at a constant rate. Placement of an order of this product to an outside supplier by the store is 40 Dollar. The super market authority has calculated the inventory holding cost per unit per year as 90 cents. Assuming no occurrence of shortages of the product, find i. the minimal number of orders per year. Explain whether the nearest integer number of orders per year is justified. Please answer this part with the explanation part asked in the question.
- ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (B) Economic Order Quantity 1. How much would the total inventory related (ordering plus carrying) costs be if the economic order quantity wasfollowed (excluding safety stock)? (D) Cost-Benefit Analysis: If ABC maintains its current inventory policy for the year,1. How much would the entity save it followed the reorder point and economic order quantity models?…ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (C) Reorder Point and Economic Order Quantity19. What would the average number of boxes be if the safety stock from Part A was kept and the EOQ from Part Bwas followed? Round off to two decimal places.20. How much would the carrying cost for the year be based on item 19?21. How much would the total inventory related (ordering plus carrying) costs be if the…ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. 18. Explain what would happen to the ordering cost, carrying cost and total inventory-related costs if the entity doesnot follow the economic order quantity based on the previous numbers
- A company operates for 50 weeks a year and uses a fixed quantity inventory system for one of its most important items. Below are the characteristics for the item: Weekly demand follows normal distribution: mean of 400 units and standard deviation of 100 units Order Cost = $40 per order Annual Holding cost = $2/unit/year Desired service level = 95% (z = 1.645) Lead Time = 4 weeks Economic Order Quantity (EOO) = 894 units Now suppose that the management is considering switching to a fixed time inventory system where the time between orders is 2 weeks. Everything else being the same as the information provided for the original problem, which system (Q or P system) is likely to have more safety stock? Please explain why.An ophthalmologist's office operates 52 weeks per year, 6 days a week. It purchases disposable contact lenses for $11.70 per pair and sells for $50. The demand is 90 pairs per week. Order cost is $54 per order. Annual interest rate is 27%. Lead-time is 3 weeks. Standard deviation of weekly demand is 15 pairs. Given that 98% service-level. Clearly identify different types of stocks: cycle, safety and pipeline. a. Find a (Q, r) policy for this situation c. Find average service level (fill rate) of the policy (a) d. Find average backorder level of the policy (a) e. Find average inventory level of the policy (a)Hayes Electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters: (a) Both ordering cost and carrying cost are 10% less than originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.