10.8 The local fire department uses 10,000 alkaline flashlight batteries per year, which costs $4 each. The cost of ordering batteries is estimated to be $50. The current interest rate suggested by the city council is 25%. The sales rep has recently suggested that you could get a discount of 2% for orders of 2000 batteries at a time. Should you take advantage of this special offer?
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- Custom Computers, Inc. assembles custom home computer systems. The heat sinks needed are bought for $12 each and are ordered in quantities of 1300 units. Annual demand is 5200 heat sinks, the annual inventory holding cost rate is $3 per unit, and the cost to place an order is estimated to be $50. Calculate the following: (a) Average inventory level (b) The number of orders placed per year (c) The total annual inventory holding cost (d) The total annual ordering cost (e) The total annual costA distributor of large appliances needs to determine the order quantities and reorderpoints for the various products it carries. The following data refer to a specii c refrigeratorin its product line:Cost to place an orderHolding costCost of refrigeratorAnnual demandStandard deviation of demand during lead timeLead time$10020 percent of product cost per year$500 each500 refrigerators10 refrigerators7 daysConsider an even daily demand and a 365-day year.a. What is the economic order quantity?b. If the distributor wants a 97 percent service probability, what reorder point, R, shouldbe used?ASAP 1)A company distributes air filters for retail stores. Buy your filters from various manufacturers. Filters are purchased in lots of 1,000 units and ordering each order costs $ 40.00. Demand from retail stores is 20,000 filters per month and the cost of holding inventory is $ 0.10 per filter per month. a) What is the optimal quantity that should be ordered in relation to so many pot sizes. b) What would be the optimal amount I should ask if the cost of holding is $ 0.05 per filter per month?
- Custom Computers, Inc. assembles custom home computersystems. Th e heat sinks needed are bought for $12 each and areordered in quantities of 1300 units. Annual demand is 5200 heatsinks, the annual inventory holding cost rate is $3 per unit, andthe cost to place an order is estimated to be $50. Calculate thefollowing:(a) Average inventory level(b) Th e number of orders placed per year(c) Th e total annual inventory holding cost(d) Th e total annual ordering cost(e) Th e total annual costJAL Trading is a Hong Kong manufacturer of electroniccomponents. During the course of a year it requires container cargo space on ships leaving Hong Kong bound forthe United States, Mexico, South America, and Canada.The company needs 280,000 cubic feet of cargo space annually. The cost of reserving cargo space is $7000 and thecost of holding cargo space is $0.80/ft3. Determine howmuch storage space the company should optimally order,the total cost, and how many times per year it should placean order to reserve spaceThe grocery store has bulk pecans on sale, which is great since you're planning on making 8 pecan pies for a wedding. Bulk pecans can be bought in increments of a tenth of a pound. How many pounds of pecans should you buy?
- Please do not give solution in image format thanku A mail-order house uses 16,820 boxes a year. Carrying costs are 60 cents per box a year, and ordering costs are $96. The following price schedule applies. Number of Boxes Price per Box 1,000 to 1,999 $1.25 2,000 to 4,999 1.20 5,000 to 9,999 1.15 10,000 or more 1.10 a. Determine the optimal order quantity. (Round your answer to the nearest whole number.) Optimal order quantity boxes b. Determine the number of orders per year.A building materials stockist obtains its cement from a single supplier. Demandfor cement is reasonably constant throughout the year. Last year the company sold 2 000tonnes of cement. It estimates the costs of placing an order at around 25 MU each timean order is placed and charges inventory holding at 20% of purchase cost. The companypurchases cement at 60 MU per tonne.a) How much cement should the company order at a time?b) Instead of ordering EOQ, why not a order convenient 100 tonnes? Please mention formulas and do it in detail so I can understand.Hayes electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters as follows: (a) both ordering cost and carrying cost are 10% less that originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.
- It takes approximately 2 weeks (14 days) for an order ofsteel bolts to arrive once the order has been placed. The demandfor bolts is fa irly constant; on the average, the manager, MichelleWu, has observed that the hardware store sells 500 of these boltseach day. Because the demand is fairly constant, Michelle believesthat she can avoid stockouts completely if she orders the bolts atthe correct time. What is the reorder poin t?AAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3 e. Which alternative should be chosen based on the minimax regret criterion? f. Which alternative should be chosen using the expected monetary value (EMV) criterion? g. What is the expected value under perfect information (EVPI)? Show WorkAAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3.a. Which alternative should be chosen based on the maximax criterion?b. Which alternative should be chosen based on the maximin criterion?c. Which alternative should be chosen based on the Lapalce criterion?d. Which alternative should be chosen based on criterion of realism with alpha = 0.7?e. Which alternative should be chosen based on the minimax regret criterion?f. Which…