Calculate the average annual cost for this inventory system. If the lead time from the order to delivery is 2 days, what is the reorder point in terms of the respirator’s stock level?
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A medical facility’s demand for N95 respirators and disposable gloves is deterministic and stable at a rate of 20 respirators per day and 100 gloves per day. The distributor charges $20 per pack of 20 respirators and $10 for a pack of 25 gloves. The distributor offered the healthcare facility the following plan: whenever the medical facility places a single order for both N95 respirators and gloves, the distributor will package one pack of respirators together with two packs of gloves to minimize shipping volume. The remainder of the order of gloves will be sent in the second shipment (without any extra shipping cost), which will be timed so that the healthcare facility receives the second shipment just before it runs out of gloves inventory. The shortages are not allowed. The fixed cost of placing an order is $10 and the holding cost rate is a 20% annual interest rate (assume 365 days per year).
- Calculate the average annual cost for this inventory system.
- If the lead time from the order to delivery is 2 days, what is the reorder point in terms of the respirator’s stock level?
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- The Co-op in problem 6 has discovered that it should establish a safety stock for its sweatshirts. It wants to use a reorder point system with a two-week lead time. The demand over a two-week interval has an average of 450 units and a standard deviation of 250 units.a. What reorder point should the Co-op establish to ensure a 95 percent service level for each order placed?b. What reorder point should be established to ensure that no more than one stockout occurs in the course of a year?c. How much average inventory will the Co-op carry for part b? Include both cycle inventory and safety stock in your answer.d. How often will the Co-op turn over its inventory, using the results from part c?The office manager for the Metro Life Insurance Companyorders letterhead stationery from an office products firm inboxes of 500 sheets. The company uses 6500 boxes peryear. Annual carrying costs are $3 per box, and orderingcosts are $28. The following discount price schedule isprovided by the office supply company: Order Quantity (boxes) Price per Box200–999 $161000–2999 143000–5999 136000 12 Determine the optimal order quantity and the total annualinventory cost.An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. What is the average inventory held at each warehouse? What is the annual inventory cost (holding + ordering) for Shoe-n-co? On average, how long does a unit of product spend in the warehouse before being sold? .. Little's law, maybe?
- An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year. What is the annual…An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Suppose that Shoe-n-co follows a periodic review policy with a review period of 2 weeks. Recall that the firm has four regional warehouses with demand at each warehouse that is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Further, annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Replenishment lead time is 1 week. The company wants a service level of 95%. Assume 50 working weeks per year. Assuming that each…An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. Assuming that each warehouse operates independently, calculate the ROP parameter of the optimal continuous review policy. Assuming that each warehouse operates independently, calculate the Q parameter of the optimal continuous review policy. How much safety stock does each warehouse have?