a) What is the average inventory level? b) What is the reorder point? c) Calculate the annual inventory holding cost ABC company is currently incurring. d) Calculate the annual ordering cost ABC company is currently incurring. e) Calculate the economic order quantity for the given problem.
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A: The answer is as below:
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A: Below is the solution:-
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- Answer the given question with a proper explanation and step-by-step solution. An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand). On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law 2.5 weeks 6.6 weeks 5.3 weeks 1.3 weeks3) The Omnigroup stocks and sells Kipor generators. The firm gathered the following information from its Kathmandu office: Demand = D = 19,500 units per year Ordering cost = S = $25.60 per order Holding cost = H = $4.40 per unit per year The firm wants to calculate the: a) EOQ for the Kipor generators. b) Annual holding costs for the Kipor generators. c) Annual ordering costs for the Kipor generators. Hint: EOQ = square root of (2DS/H) Annual Holding Cost = (Q/2) H Annual Ordering Cost = (D/Q) SAnglo American Platinum uses ABC analysis as an inventory categorisation method. The current inventory ordering policy is to order 10 000 units of an ‘A’-item inventory when the level falls to 4 500 units. Forecast demand to meet production requirements during the next year is 62 500 units. The cost of placing and processing an order relating to this inventory item is R250, while the cost of holding a unit in store is R50 per unit per year. You anticipate that both costs will be constant during the next year. Orders are received two weeks after being placed with the supplier. Assume a 50-week year and that demand is constant throughout the year. Using a quantitative analysis, appraise the optimality of the current ordering policy of the ‘A’-item inventory (Show all calculations).
- Weekly demand per store for a particular item at The Gap is normally distributed with mean 8 and standard deviation 2. The delivery lead time to each store is 3 weeks. The items cost $27 each and sell for $42. The shipping and administrative costs are $20 per store order. There are 2000 stores across the nation. Assume a 35% annual inventory carrying charge. a) If they choose to stock the item with a 95% service level in every store, how much safety stock must they keep for the item, summed over all the stores? b) Suppose they choose to stock the item in a central location (and pay for overnight shipping to the customers). Assume that demand at the central location will be the sum of demands from all the individual stores. i.How much average safety stock must they hold for that item if they want to provide a 95% service level? ii. Shipping and administrative costs are $100 per order to the central location. What is the percentage savings in average cycle stock for the centralized…Consider the company in Question 1. Now the company is considering working with a local supplier. Since the local supplier is located close to the company, there is no restriction on the frequency of the orders. The purchasing cost from this local supplier is $80 per unit. Every time they place an order there is a fixed shipping cost of $12. Holding cost is again based on 20% annual interest rate. Calculate the economic order quantity. Calculate the total annual cost the company will incur with this supplier if they use the order quantity you found in (a) (Total Annual Cost = Annual Ordering Cost + Annual Inventory Holding Cost + Annual Purchasing Cost) The company is also considering producing the product at home. The production rate is 12000 units per year. They estimate that the setup cost is $20 per setup. The production cost is $60 per unit. The holding cost is based on the annual interest rate and the production cost of the product. Calculate the economic production quantity. How…Mo. A distributor of computer monitors purchases the monitors from an overseas supplier under a continuous review system. The average demand for a popular computer monitor is normally distributed with a mean of 50 units a day and a standard deviation of 10 units a day. It costs $75 to process each order and there is a 16 day lead time. The holding cost for each monitor is $20 per year and the distributor wishes to maintain a 90% service level. The distributor operates 300 days in a year. The distributor would like to use a periodic review inventory system to manage their inventory. Use the information in Scenario 9.15. What is the standard deviation of demand over the protection interval? less than or equal to 30 units greater than 40 units but less than or equal to 50 units greater than 50 units greater than 30 units but less than or equal to 40 units
- A producer of tires has an annual demand for a specific brand of tire. Theannual demand is 14,000. The cost of ordering these tires for the distributioncenter for each order is $1,200 per order. The annual holding cost is $8.50 pertire per year (in U.S. dollars): (In Excel with formulas)a What is the EOQ and the total annual cost at EOQ?b If the company decides to place more frequent orders, then theordering cost would increase to $1,800 per order. Nevertheless, the increasedfrequency of orders would decrease the annual holding cost to $6.50 per tireper year. Should the distribution center order tires more frequently?The Interstate Carpet Discount Store has annual demand of10,000 yards of Super Shag carpet. The annual carrying costfor a yard of this carpet is $1.25, and the ordering cost is$300. The carpet manufacturer normally charges the store $8per yard for the carpet. However, the manufacturer has offered a discount price of $6.50 per yard if the store will order5000 yards. How much should the store order, and what willbe the total annual inventory cost for that order quantity?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.
- An auto parts supplier sells Hardy-brand batteries to car dealers and auto mechanics. The annual demand is approximately 1,200 batteries. The supplier pays $28 for each battery and estimates that the annual holding cost is 30 percent of the battery’s value. It costs approximately $20 to place an order (managerial and clerical costs). The supplier currently orders 100 batteries per month. a) Determine the ordering, holding, and total inventory costs for the current order quantity. b) Determine the economic order quantity(EOQ). c) How many orders will be placed per year using the EOQ? d) Determine the ordering, holding, and total inventory costs for the EOQ. How has ordering cost changed? Holding cost? Total inventory cost?You are in the process of deciding the optimal order quantity of shampoo packs for a hotel. The supplier charges you $47 per order and your stockroom costs approximately $0.69 per shampoo pack per year to store the product. Based on prior research, you were able to determine that the hotel goes through approximately 94 shampoo packs per day. They hold 0 safety stock. The supplier is willing to give the following quantity discounts for the product. Using the order quantity that will minimize total cost, what is the total annual cost? Quantity 1 - 1499 $2.25 $2.10 $2.05 $2.03 Note: Round your answer to 2 decimal places. Do NOT include $ sign or a comma. For example, answer like 50246 and NOT $50,246 Answer: 1500 - 3999 4000 - 7999 8000+ Price CheckCharlie’s Pizza orders all of it pepperoni, olives, anchovies, and mozzarella cheese to be shipped directly from Italy. An American distributor stops by every seven weeks to take orders. Because the orders are shipped directly from Ital, they take six weeks to arrive. Charlies Pizza uses an average of 250 pounds of pepperoni each week, with a standard deviation of 18 pounds. Charlie prides itself on offering only the best –quality ingredients and a high level of service, so it wants to ensure a 95 percent probability of not stocking out on pepperoni. Assume that the sales representative just walked in the door and there are currently 470 pounds of pepperoni in the walk-in cooler. How many pounds of pepperoni would you order? (Use the excels NORMSINV( ) function to find the critical value for the given a-level, (Round you z-value to 2 decimal places and final answer t