A company has an annual demand of 2500 units. The cost to place an order to replenish inventory is SR18.75 per order, and annual inventory holding cost per unit is SR1.5. On average, delivery of an order takes 3 working days (Lead time). Assume the store is open 250 days per year. What is the optimal order size? What is the optimal number of orders per year? What is the optimal number of days between orders? What is the Reorder Point (ROP)? What is the Reorder Point (ROP) with 2 days safety stock.
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A company has an annual demand of 2500 units. The cost to place an order to replenish inventory is SR18.75 per order, and annual inventory holding cost per unit is SR1.5. On average, delivery of an order takes 3 working days (Lead time). Assume the store is open 250 days per year.
- What is the optimal order size?
- What is the optimal number of orders per year?
- What is the optimal number of days between orders?
- What is the Reorder Point (ROP)?
- What is the Reorder Point (ROP) with 2 days safety stock.
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- A logistics company applies the EOQ model to manage its inventory of spare parts used for maintenance work for their trucks. Daily demand is normally distributed. The average daily demand is 10 units, with a standard deviation of 5 units. The EOQ is found to be 400 units and used as the order size for all orders. Order lead time is 4 days. Currently, the firm has just received an order. In how many days do they need to place the next order?A logistics company applies the EOQ model to manage its inventory of spare parts used for maintenance work for their trucks. Daily demand is normally distributed. The average daily demand is 10 units, with a standard deviation of 5 units. The EOQ is found to be 400 units and used as the order size for all orders. Order lead time is 4 days. Currently, the firm has just received an order. In how many days do they need to place the next order? 4 days 36 days 40 days None of the above. Demand is random, so the time until they reach the ROP again is also randomA retailer uses the order-up-to model to manage inventory of an item in a store. The leadtime for replenishments is four weeks and it can place orders weekly. Weekly demand isPoisson with mean 0.10 unit. Its order-up-to level is five and unfilled demand is backordered. What is the coefficient of variation of its orders?
- Consider a fixed period inventory model. The daily demand of the product has a mean of 30 and standard deviation of 4; orders are placed every 18 days and shipment lead time is 6 days. The store has a service policy of 96%. What is the inventory required?1. Let the demand of a product per year is 7800 units. Its standard deviation is 780 (not variance), and it follows a normal distribution. Let the delivery lead time follows a uniform distribution between 15 to 20 days. Determine the chance of having an inventory cycle with shortage when the reorder point is 700 units. Use the time unit of week. One week is five days. One year is 52 weeks.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 1D2 = 15,080 units/yearOrdering cost 1S2 = $125.00/orderHolding cost 1H2 = $3.00/unit/yearLead time 1L2 = 5 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation of weekly demand of 64 units.a. Calculate the item’s EOQ.b. Use the EOQ to define the parameters of an appropriate continuous review and periodic review system for this item.c. Which system requires more safety stock and by how much?
- At sejahtera.com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book. Stock is received five working days after an order has been placed. The backordering is not allowed. Assume 300 working days a year. Please Draw the model to represent the case.Suppose the following item is being managed using a fixed-order quantity model with safety stock. Annual Demand = 100,000 units Order quantity = 30,000 units Safety stock = 4000 units What are the average inventory level and inventory turnover for this item?(Round your answer to 2 decimal places.) A retailer uses the order-up-to model to manage inventory of an item in a store. The lead time for replenishments is 4 weeks and it can place orders weekly. Weekly demand is Poisson with mean 0.05 unit. Its order-up-to level is 5 and unfilled demand is backordered. What is the coefficient of variation of its orders?
- 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?1- The number of orders in the inventory system (called A) is total demand (called D) divided D by order size per replenishment (called S) or A =". D follows a normal distribution with a mean of 100,000 and standard deviation of 5000. While S is a continuous uniform distribution between 20,000 and 30,000. Generate 500 A random number and find the average.3) A company produces a part that is used in its production process. The company produces the part at a rate of 300 units per day. The daily demand for the product is 180 units. The annual demand for the part is 54,000 units and occurs consistently over the 300 days that the company operates yearly. The company incurs a setup cost of $300 each time the item is produced. The cost of carrying the item in inventory is estimated to be 25 percent of the item's $100 cost. How many units should the company produce each production run to minimize its inventory- associated costs?