Inventory can be very expensive for firms to hold and manage. One measure of how effective a firm is at managing their inventory is the inventory sales ratio (inventory/sales). Assume a firm has quarterly sales of 1 million and inventory is normally distributed with a mean of $500k and a standard deviation of $100k. simulate the expected inventory to sales ratio for 10,000 iterations. What is the expected mean inventory to sales ratio? What is the probability that the inventory sales ratio is less than 0.5?
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Inventory can be very expensive for firms to hold and manage. One measure of how effective a firm is at managing their inventory is the inventory sales ratio (inventory/sales). Assume a firm has quarterly sales of 1 million and inventory is
- What is the expected mean inventory to sales ratio?
- What is the probability that the inventory sales ratio is less than 0.5?
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- Nutmeg Inc. uses the LIFO method to account for inventory. During years in whichinventory unit costs are generally rising and in which the company purchases more inventory than it sells to customers, its reported gross profit margin will most likely be:A. lower than it would be if the company used the FIFO method.B. higher than it would be if the company used the FIFO method.C. about the same as it would be if the company used the FIFO method.A fish restaurant sells fish for 50$ per kg and buys it from the suppliers for 10$ per kg. Fish that were not sold during the day go bad. A manager has estimated that daily demand for fish is normally distributed with a mean of 20kg and a standard deviation of 5 kg. The manager has to decide how much fish to order per day. Find a profit-maximizing order.Please answer questions 9 and 10 based on this data. Daily demand for packages of five videotapes at a warehouse store is found to be normally distributed with a mean of 50 and a standard deviation of 5. When the store orders more tapes, the orders take four days to arrive. Assume the store is open 360 days a year. If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what should be the safety stock? Please round your answer to two decimals. Safety stock= 17 Question 10 4 pts If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what reorder point should be set? Please round your answer to two decimals. Reorder point=
- A newsvendor orders 8000 units. Demand is normally distributed with a mean of9000 and a standard deviation of 2000. What is the stockout probability?A restaurant uses 100 per week or 5,000 quart bottles of ketchup each year. The ketchup costs $3.00 per bottle and is served only in whole bottles because its taste quickly deteriorates. The restaurant figures that it costs $10.00 each time an order is placed, and holding costs are 20 percent of the purchase price. It takes 3 weeks for an order to arrive. The restaurant operates 50 weeks per year. The restaurant would like to use an inventory system that minimizes inventory cost. The restaurant has figured that the most economical order size or EOQ is approx. 409 (rounding up the decimals). Approximately, what is the time between two orders (in terms of weeks) 08 06 04 02 None of the aboveA large manufacturer purchases a part from a supplier under a continuous review system. The average demand is 400 units a day with a standard deviation of 50 units a day. It costs $55 to process each order. The holding cost for a part is $0.2 per month and the company has a policy of maintaining a 96% service level. The company operates 315 days per year. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. a- What is the reorder point? b- What order quantity would be appropriate c- What is the total annual cost for this item?
- A firm that sells 5,000 blivets per month is trying to determine how many blivets to keep in inventory. The financial manager has determined that it costs $200 to place an order.The cost of holding inventory is 4 cents per month per average blivet in inventory. A five-day lead time is required for delivery of goods ordered. (This lead time is known with certainty.) The operating days per year is 250. What is the economic order quantity? What is the reorder point? At the EOQ level, what is the total carrying cost per month? At the EOQ level, what is the total ordering cost per month?An electronics retailer wants to develop an inventory policy to achieve 99% chance of not getting stockouts for a chip. The daily demand for the chip is estimated to be Normal with mean 200 and standard deviation of 20. They count the chip inventory every 2 weeks to place an order, and it takes 11 days for the ordered chips to be delivered. The retailer operates 7 days a week, 365 days a year. They are going to implement an order-up-to model. A) What base stock level should they choose? B) What is the number of chips they would have on order (on average)? C) When they checked their inventory of chips to place a new order, they found that they ran out of stock completely. In addition, they have 10 chips on way to be delivered, while there are five customers who paid for 20 chips in total and are waiting to receive their chips. How many chips should the retailer order?Suppose a retailer turns its inventory of soda 50 times per year. On average, it has 400bottles of soda on its shelves. What is the retailer’s average daily sales rate? (Assume365 days per year.)
- You run a food bar in UCLA Ackerman, and you sell chocolate croissants for breakfast. Your daily demand for chocolate croissants is on average 50, with a standard deviation of 8. The unit cost of a croissant is $0.70, and you sell at a unit price of $3.00. The refrigerated chocolate croissant must be consumed within 7days (one week) after purchased from your supplier, so you dispose leftover inventory and purchase fresh croissants once every week. Assume the demand in each of the seven days is independently distributed. (The z-table for normal distribution is attached.) (a) What is the optimal weekly purchase quantity for the chocolate croissant? What is average inventory? A student leader, Mark, came to you one day and told you that Anderson School would hold a special event next Thursday morning, and there would be additional demand for the chocolate croissant on that day. Mark wants to reserve a certain amount of croissant from you and sell in the special event at the regular price.…Your firm uses a periodic review system for all SKUS classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUS classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item's current characteristics are: Demand (D) = 15,080 units/year Ordering cost (S) = $125.00/order Holding cost (H) = $3.00/unit/year Lead time (L) = 5 weeks Cycle service level = 95 percent Demand is normally distributed, with a standard deviation of weekly demand of 64 units. -Calculate the item's EOQ. - Use the EOQ to define the parameters of an appropriate continuous review and periodie review system for this item. -Which system requires more safety stock and by how much? -How do you think each system can affect your procurement procedures/methods?Algro Inc. keeps a wide range of parts and materials on hand for use in its production processes. Management has recently had difficulty managing parts inventory as demand for its finished goods has increased; they frequently run out of some critical parts while having an endless supply of others. They would like to classify their parts inventory according to the ABC approach to better control inventory. The following is a list of parts, along with their annual usage and unit value: Item Annual Unit Item Annual Unit Number Usage Cost Number Usage Cost 1 36 $350 2 510 30 3 50 23 4 300 45 5 18 1900 6 500 8 7 710 4 8 80 26 9 344 28 10 67 440 11 510 2 12 682 35 13 1216 95 50 14 10 3 15 820 1 KARAN2222222222 16 60 $610 17 120 20 18 270 15 19 45 50 20 19 3200 21 910 3 12 4750 23 30 2710 24 24 1800 25 870 105 26 244 30 27 750 15 28 45 110 29 46 160 30 165 25 a. Classify the inventory items according to the ABC approach using the dollar value of annual demand. b. Clearly explain why you…