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- ANT Infra orders two kinds of precast items: A and B for use in its projects from two different suppliers. The precasts are needed throughout the entire 52-week year. Precast A are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. While, precast B is ordered from a supplier who delivers by every three weeks. Data for both precast items are as follows:Item Precast A Precast BAnnual demand 10,000 5,000Holding cost (% of item cost)20% 20%Order cost $150 $25Lead time 4 weeks 1 weekSafety stock 55 units 5 unitsItem cost $10.00 $2.00 a. Employ Q system for precast A and calculate the EOQ, the reorder point, total inventory cost? b. Employ P system for precast B and estimate the target level inventory and total inventory cost?The maintenance department of a large hospital uses 816 cases of liquid cleaner annually. Ordering costs are $12, carrying costs are $4 per case per year, and the new price schedule indicates that orders of less than 50 cases will cost $20 per case, 50 to 79 cases will cost $18 per case, 80 to 99 cases will cost $17 per case, and larger orders will cost $16 per case. Determine the optimal order quantity and the total costThe maintenance department of a large hospital uses about 816 cases of liquid cleanserannually. Ordering costs are $12, carrying costs are $4 per case a year, and the new priceschedule indicates that orders of less than 50 cases will cost $20 per case, 50 to 79 caseswill cost $18 per case, 80 to 99 cases will cost $17 per case, and larger orders will cost $16per case. Determine the optimal order quantity and the total cost.
- A manager receives a forecast for next year. Demand is projected to be 600 units for the first half of the year and 920 units for the second half. The monthly holding cost is $2 per unit, and it costs an estimated $55 to process an order. a.Assuming that monthly demand will be level during each of the six-month periods covered by the forecast (e.g., 100 per month for each of the first six months), determine an order size that will minimize the sum of ordering and carrying costs for each of the six-month periods. (Round your answers to the nearest whole number.) Period Order Size 1 – 6 months?_____units 7 – 12 months?_____units b.If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50 units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either period? If so, what order size would you recommend? (Round intermediate calculations to 2 decimal places.) Period Order Size 1 – 6 months?____ units 7 – 12 months?____…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…Ray wishes to determine the optimal order quantity for its best-selling bike in his bike store. Ray pays the supplier a wholesale price of $118 each for this bike. Ray has estimated the average daily demand for this bike is 23 units. The store opens 304 days a year. The cost to carry one bike in the store for a whole year is 8% of the unit bike cost. Ray has estimated that, on average, the order processing cost, i.e., ordering cost, with the bike supplier each time is $152, and it roughly takes 20 working days to receive the order from the supplier. Ray wishes to avoid the stock-out situation with a probability of 95%, and this requires Ray to carry a safety stock of 30 bikes in the store. What is the optimal order quantity (EOQ value) that Ray should order each time from the bike supplier to minimize his long-run inventory 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?The Union Street Microbrewery makes 1220 Union beer, which it bottles and sells in its adjoiningrestaurant and by the case. It costs $1,700 to set up, brew, and bottle a batch of the beer. Theannual cost to store the beer in inventory is $1.25 per bottle. The annual demand for the beer is18,000 bottles, and the brewery has the capacity to produce 30,000 bottles annually. Determine the optimal order quantity, the total annual inventory cost, the number of production runs per year, and the maximum inventory level.The Big Buy Supermarket stocks Munchies Cereal. Demand for Munchies is 4,000 boxes peryear (365 days). It costs the store $60 per order of Munchies, and it costs $0.80 per box per yearto keep the cereal in stock. Once an order for Munchies is placed, it takes 4 days to receive theorder from a food distributor. Determine The optimal order size