Michigan State Figurine Incorporated (MSF) sells crystal figurines to Spartan fans. MSF buys the figurines from a manufacturer for $10 per unit. It sends orders electronically to the manufacturer, costing $20 per order, and it experiences an average lead time of eight days for each order to arrive from the manufacturer. Its inventory carrying cost is 20 percent. The average daily demand for the figurines is two units per day. MSF is open for business 250 days a year. Answer the following questions: a. How many units should the firm order each time? Assume there is no uncertainty at all about the demand or the lead time. b. How many orders will it place in a year? c. What is the average inventory? d. What is the annual ordering cost? e. What is the annual inventory carrying cost?
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- Golden Crust Bakery buys flour in 25-pound bags. The bakery uses an average of 1,215 bags ayear. Preparing an order and receiving a shipment of flour involves a cost of $10 per order.Annual holding costs are $75 per bag. Once an order for flour is placed, it takes six (6) days toreceive the order from the flour factory. The bakery operates 350 days per year.Calculate the following:(i) Economic Order Quantity(ii) Expected number of orders (Order Frequency)(iii) Average inventory(iv) The annual holding cost(v) The annual ordering cost(vi) The total annual cost of inventory management(vii) Reorder point(viii) If holding costs were to increase by $9 per year, how much would thataffect the minimum total annual cost?Pet Empire operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $11.70 per bag. The following information is available about these bags. Demand is 90 bags per week, order cost is $54 per order, annual holding cost is 27% of the cost, service level is 80%, lead time is 3 weeks (18 working days), and standard deviation of weekly demand is 15 bags. Current on hand inventory is 320 bags with no open orders or back orders. Require to calculate Economic Order Quantity (EOQ). What would be the average time between orders (in weeks)? Calculate reorder point (R). The store currently uses a lot size of 500 bags (i.e., Q = 500). Calculate the annual holding cost of this policy and also annual ordering cost. Without calculating the EOQ, how can you conclude from these two calculation that the current lot size is too large? What would be the annual cost saved by shifting from the 500-bag lot size to the EOQ? Consider again the…Thompson Paint Company uses 60,000 gallons of pigment per year. The cost of ordering pigment is $200 per order, and the cost of carrying the pigment in inventory is $1 per gallon per year. The firm uses pigment at a constant rate every day throughout the year. a. Calculate the EOQ. b. If it takes 20 days to receive an order once it has been placed, determine the reorder point in terms of gallons of pigment. (Note: Use a 365-day year.)
- Sam’s Cat Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $11.70 per bag. The following information is available about these bags.Demand = 90 bags/weekOrder cost = $54/orderAnnual holding cost = 27 percent of costDesired cycle@service level = 80 percentLead time = 3 weeks 118 working days2Standard deviation of weekly demand = 15 bagsCurrent on-hand inventory is 320 bags, with no open orders or backorders.a. What is the EOQ? What would be the average time between orders (in weeks)?b. What should R be?c. An inventory withdrawal of 10 bags was just made. Is it time to reorder?d. The store currently uses a lot size of 500 bags (i.e., Q = 500). What is the annual holding cost of this policy? Annual ordering cost? Without calculating the EOQ, how can you conclude from these two calculations that the current lot size is too large?e. What would be the annual cost saved by shifting from the 500-bag lot size to the…Arthur Meiners is the production manager for Wheel-Rite, a small manufacturer of metal parts. Wheel-Rite sells 10,378 gear wheels each year. Wheel-Rite setup cost is $45 and maintenance cost is $0.60 per sprocket per year. Wheel-Rite can produce 493 gear wheels per day. The daily demand for the gear wheels is 51 units. Show your work. 1. What inventory management model should we use to solve this problem? Model for discount purchases Model Economic Quantity to Order Model Economic Quantity to Produce Model to handle dependent demand 2. What is the optimal amount of production? Response 3. What is the maximum inventory level of gear wheels that will be in the Wheel-Rite warehouse? Response 4. What is Wheel-Rite's annual setup cost? Response 5. What is the annual cost of maintaining Wheel-Rite? ResponseAllen Enterprises uses a continuous-review inventory control system for one of its most popular computer games. The firm operates 50 weeks in a year with an average lead time of 9 weeks. The annual demand is 12,000 games, with a standard deviation of 245 games. Ordering Costs are $30, with Holding costs per game of $38 per year. What is the economic order quantity for this item? If Allen Enterprises wants to provide a 95-percent cycle-service level, what should be the reorder point?
- Thomas Kratzer is the purchasing manager forthe headquarters of a large insurance company chain witha central inventory operation. Thomas’s fastest-movinginventory item has a demand of 6,000 units per year. The costof each unit is $100, and the inventory carrying cost is $10 perunit per year. The average ordering cost is $30 per order. Ittakes about 5 days for an order to arrive, and the demand for1 week is 120 units. (This is a corporate operation, and thereare 250 working days per year.)a) What is the EOQ?b) What is the average inventory if the EOQ is used?c) What is the optimal number of orders per year?d) What is the optimal number of days in between any twoorders?e) What is the annual cost of ordering and holding inventory?f) What is the total annual inventory cost, including the costof the 6,000 units?explain the characteristics of inventory situations: 1. lead time 2. sources and level of risk 3. Static versus dynamic problemsPetromax Enterprises uses a continuous review inventorycontrol system for one of its SKUs. The following informationis available on the item. The firm operates 50 weeks in a year.Demand = 50,000 units>yearOrdering cost = $35>orderHolding cost = $2>unit>yearAverage lead time = 3 weeksStandard deviation of weekly demand = 125 unitsa. What is the economic order quantity for this item?b. If Petromax wants to provide a 90 percent cycle-servicelevel, what should be the safety stock and the reorder point?
- Are inventory cost flow methods used the same for periodic and perpetual inventory systems? Explain.Resional supermarket is open 360 days per year. Daily use of cash register tape averages 10 rolls, Normally distributed, with a standard deviation of two rolls per day. The cost of ordering tapes is $10 per order, and holding cost is 40 cents per roll a year. Lead time is three daysThomas Kratzer is the purchasing manager for theheadquarters of a large insurance company chain with a centralinventory operation. Thomas’s fastest-moving inventory item hasa demand of 6,000 units per year. The cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. The aver-age ordering cost is $30 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (This is acorporate operation, and there are 250 working days per year.)a) What is the EOQ?b) What is the average inventory if the EOQ is used?c) What is the optimal number of orders per year?d) What is the optimal number of days in between any two orders?e) What is the annual cost of ordering and holding inventory?f ) What is the total annual inventory cost, including the cost ofthe 6,000 units?