Inputs Average demand per unit time, D = Lead time, L= 300 SD of demand per unit time, oD = Target cycle service level 200 0.95 Distribution of Demand during Lead Time Mean demand during lead time, DL = SD of demand during lead time, oL = Output Safety inventory, ss = Reorder point, ROP =
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- Sam's Pet Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $13.00 per bag. The following information is available about these bags: ≻Demand=75 bags/week ≻Order cost=$55.00/order ≻Annual holding cost=25 percent of cost ≻Desired cycle-service level=80 percent ≻Lead time=4 weeks (24 working days) ≻Standard deviation of weekly demand=15 bags ≻Current on-hand inventory is 320 bags, with no open orders or backorders. Part 2 a. Suppose that the weekly demand forecast of 75 bags is incorrect and actual demand averages only 50 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be $enter your response here higher owing to the error in EOQ. (Enter your response rounded to two decimal places.) a. What is the EOQ? What would the average time between orders (in weeks)? b. What should R be? c. An inventory withdraw…An electronics retailer carries a particular cellular telephone with the following characteristics:Average monthly sales = 120 unitsOrdering cost = $25 per orderCarrying cost = 35 percent per yearItem cost = $300 per unitLead time = 4 daysStandard deviation of daily demand = .2 unitWorking days per year = 250a. Determine the EOQ.b. Calculate the reorder point for a 92 percent service level, assuming normally distributed demand.c. Design a Q system for this item.d. What happens to the reorder point when the lead time changes? What happens to the reorder point when the standard deviation of demand changes?Please do not give solution in image formate thanku. Weekly demand for HP printers at a Sam's Club store is normally distributed, with a mean of250 and a standard deviation of 150. The store manager continuously monitors inventory andcurrently orders 1,000 printers each time the inventory drops to 600 printers. HP currentlytakes two weeks to fill an order. How much safety inventory does the store carry? What CSLdoes Sam's Club achieve as a result of this policy? What fill rate does the store achieve?Ex:. Return to the Sam's Club store in . Assume that the supply lead time from HP isnormally distributed, with a mean of 2 weeks and a standard deviation of 1.5 weeks. Howmuch safety inventory should Sam's Club carry if it wants to provide a CSL of 95 percent?
- A subcontracting firm Gamma Pharmaceuticals Ltd. located in Western India dealing with generic medicines operates 50 weeks per year. The following information is available regarding the major ingredient used for the medicine:Weekly Demand= 60 unitsStandard deviation of weekly demand = 9 unitsOrdering costs (Co) = Rs. 64/ orderHolding costs (Ch) = Rs.40/unit/yearCycle-service level = 90% (z-value = 1.28)Lead time = 2 weeksNumber of weeks per year = 50 weeksd) Using the fixed order quantity system to control inventory, calculate the EOQe) Compute the reorder point and state the order decision rulef) Compute the total variable cost of inventory.Demand during lead time for one brand of TV is normally distributed with a mean of 36 TVs and a standard deviation of 15 TVs. What safety stock should be carried for Dennis Yu's Appliance Outlet to provide a 90% service level? What is the appropriate reorder point? Use a Z standard deviation table as well What safety stock should be carried for a 90% service level? Safety stock =units (round your response to the nearest whole number). What is the appropriate reorder point? Reorder Point = unitsPetromax 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?
- Your firm uses a continuous review system and operates 52 weeks per year. One of the SKUs has the following characteristics.Demand 1D2 = 20,000 units/yearOrdering cost 1S2 = $40/orderHolding cost 1H2 = $2/unit/yearLead time 1L2 = 2 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation of weekly demand of 100 units.Current on-hand inventory is 1,040 units, with no scheduled receipts and no backorders.a. Calculate the item’s EOQ. What is the average time, in weeks, between orders?b. Find the safety stock and reorder point that provide a 95 percent cycle-service level.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…Enrun Corporation expects to order 140,000 memory chips for inventory during the coming year, and it will use this inventory at a constant rate. Fixed ordering costs are $300 per order; the purchase price per chip is $20; and the firm’s inventory carrying costs is equal to 20 percent of the purchase price. (Assume a 360-day year.) What is the economic ordering quantity for chips? If Enrun holds a safety stock equal to a 30-day supply of chips, what is its average inventory level? Assume that Enrun holds a safety stock equal to a 30-day supply of chips. What is the maximum amount of inventory that Enrun will have on hand at any time, that is, what will be the inventory level right after a delivery is made?
- Inventory Management Basic EOQ Webber Tools sells power washers and is open for business 320 days a year. It costs the store $3750 each time it places an order with the manufacturer for the washers. The annual cost of carrying a washer in inventory is $400. The manager uses the Basic EOQ Model and forecasts an annual demand for the washers of 1200 units. How long is the order cycle time? Now assume the manager does not use the EOQ model. Instead, the manager has been ordering 125 washers at a time. How much money will be saved in annual inventory costs if the company switches to the EOQ (assume no stockouts)?Inventory Management Basic EOQ Webber Tools sells power washers and is open for business 320 days a year. It costs the store $3750 each time it places an order with the manufacturer for the washers. The annual cost of carrying a washer in inventory is $400. The manager uses the Basic EOQ Model and forecasts an annual demand for the washers of 1200 units. What is the economic order quantity? What is the total minimum annual inventory cost? What is the average inventory level? How many orders per year will be required? How long is the order cycle time? Now assume the manager does not use the EOQ model. Instead, the manager has been ordering 125 washers at a time. How much money will be saved in annual inventory costs if the company switches to the EOQ (assume no stockouts)?Part 1 Sam's Pet Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $13.00 per bag. The following information is available about these bags: Demandequals=75 bags/week Orde costequals=$55.00/order Annual holding costequals=35 percent of cost Desired cycle-service levelequals=80 percent Lead timeequals=4 weeks (24 working days) Standard deviation of weekly demand equals=15 bags Current on-hand inventory is 320 bags, with no open orders or backorders. Part 2 a. Suppose that the weekly demand forecast of 75 bags is incorrect and actual demand averages only 50 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be ___ higher owing to the error in EOQ. (Enter your response rounded to two decimal places.)