XYZ Print Inc. uses plain paper for copying needs. Weekly demand for that paper follows a normal distribution with mean 100 and standard deviation of 50 (measured in reams). Each week, a replenishment order is placed with its supplier and the order arrives one week later. All copying orders that cannot be satisfied immediately due to the lack of paper are backordered. a. Suppose that XYZ Print Inc. decides to establish an order-up-to level of 300 for plain paper. At the start of this week, there are 200 boxes in inventory and 60 boxes on order. How much will XYZ Print order this week?
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- EOQ, reorder point, and safety stock Alexis Company uses 937units of a product per year on a continuous basis. The product has a fixed cost of $44 per order, and its carrying cost is $4 per unit per year. It takes 5 days to receive a shipment after an order is placed, and the firm wishes to hold 10 days' usage in inventory as a safety stock. a. Calculate the EOQ. b. Determine the average level of inventory. (Note: Use a 365-day year to calculate daily usage.) c. Determine the reorder point. d. Indicate which of the following variables change if the firm does not hold the safety stock: (1) order cost, (2) carrying cost, (3) total inventory cost, (4) reorder point, (5) economic order quantity.Rick Jerz is attempting to perform an inventory analysison one of his most popular products. Annual demand for thisproduct is 5,000 units; ca rrying cost is $50 per unit per year; ordercosts for his company typically run nearly $30 per order; and leadtime averages I 0 days. (Assume 250 working days per year.)a) What is the economic order quantity?b) What is the average inventory?c) What is the optimal number of orders per year?d) What is the optimal number of working days between orders?e) What is the total annual inventory cost (carrying cost+ ordering cost)?t) What is the reorder poi nt?Peet's Coffees in Menlo Park, California, sells Melitta Number 101 coffee filters at a fairly steady rate of about 60 boxes of filters monthly. The filters are ordered from a supplier in Trenton, New Jersey. Peet's manager is interested in applying some inventory theory to determine the best replenishment strategy for the filters. Peet's pays $2.80 per box of filters and estimates that fixed costs of employee time for placing and receiving orders amount to about $20. Peet's uses a 22 percent annual interest rate to compute holding costs. b. Suppose that it takes three weeks to receive a shipment. What inventory of filters should be on hand when an order is placed?
- please solve D,E and F (a) What is the expected jet fuel yearly average demand D? =4160 tons(b) Given D, find the order lot size Q that gives the economic order quantity (EOQ). =60.39 unit(c) Given the EOQ, what is the total inventory holding cost?= $1067695.2(d) Given the EOQ, what is the total inventory ordering cost?(e) Given the EOQ, what is the total annual inventory cost?(f) What is the time between orders in weeks?The annual demand for sugar at a local soft drink company is normally distributed with a mean of 800 tons and a standard deviation of 25 tons. The sugar sells for OMR 500 each ton, and the annual inventory holding cost rate is 10%. Ordering costs are OMR5 per order. The delivery time for sugar is 5 working days. Assume that there are 250 working days in a year. 1) Evaluate the fill rate B for a safety stock of 5 tons. 2) What is the expected number of units short per year? 3) Compare the level of safety stock for each policy a=B=0.95.A local artisan uses supplies purchased from an overseas supplier. The ownerbelieves the assumptions of the EOQ model are met reasonably well. Minimization ofinventory cost is her objective. Relevant data, from the files of the credit firm, are annualdemand (C) = 240 units, ordering cost (B) = 42 MU/order, and holding cost = 4MU/unit/year.a) How many should she order at one time?b) How many times per year will she replenish its inventory of this material?c) What will be the total inventory costs associated with this material? Please mention formulas and do it in detail so I can understand.
- Please do not give solution in image format thanku Ram Roy's firm has developed the following supply, demand, cost, and inventory data. Supply Available Period Regular Time Overtime Subcontract Demand Forecast 1 40 15 15 50 2 30 15 15 55 3 40 20 15 60 Initial inventory 30 unitsRegular-time cost per unit$100 Overtime cost per unit$160 Subcontract cost per unit$250 Carrying cost per unit per month$4 Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Part 2 Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $enter your response here (enter your response as a whole number).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.)Describe the ABC inventory system. How is it used to manage inventory? Do you think that it is valid to treat inventory under the Pareto analysis rule (a.k.a. the 80/20 rule)? Provide one real-world example where ABC system would be most applicable.
- Banana Inc. a Company that markets skin care products . The annual demond is 2400 units and ordering cost is 10 per order . The holding cost per year is 0.30 .Amount of the working days of the is 250 days in a year , Lead time of the order is 2 days . a. What is the optimal order size? b. What is the optimal number of orders per year? c. What is the optimal number of days between orders? d. What is the annual inventory cost? e. If the lead time were 2 days, what would be the reorder point? f. For what value of ordering cost would 1000 units of order size be optimal? g. Determine how often the firm should order. h. Determine the size of each order ı. At what price should the firm order?In the basic EOQ model, if annual demand is 125, holding cost is $2.63 (per unit per year), and total inventory related cost on the basis of EOQ is $310, the ordering cost per order (rounded to the next whole number) is a. can not be determined b. 293 c. 155 d. 147You are managing a company that stocks and distributes hardware. Thecompany employs two purchasing agents who receive combined salaries of$90,000. They process 6,000 purchase requests per year. Average inventoryin storage is $600,000, and the total cost of running the warehouse is$200,000. You are told that the company purchases 5,000 hammers per yearat a cost of $5.34 per hammer.a. Using the economic order quantity (EOQ) formula, how many hammersshould be ordered at one time?b. If the hammer vendor stated that it would charge $5.00 per hammer if youordered 200 or more at a time, what should you do?