According to the EOQ and increase in interest rates would tend to....? A: increase the number of units ordered for inventory and increase the number of orders per year B: decrease the number of units ordered for inventory and reduce the number of orders per year C: decrease the number of units ordered for inventory and increase the number of orders per year D: increase the number of units ordered for inventory and reduce the number of orders per year
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- The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.The materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are remConsider a hardware supply warehouse that is contractually obligated to deliver 1000units a specialized fastener to a local manufaturing company each week. Each time thewarehouse places an order for these items from its supplier, an ordering and transporationfee off $20 is charged to the warehouse. The warehouse pays $1.00 for each fastener andcharges the local firm $5.00 for each fastener. Annual holding cosst iss 25% off inventoryvalue, or $0.25 per year. The warehouse manager would like to know how much to orderwhen inventory gets to zero.Assume that the warehouse works 50 weeks/year.
- Models of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.00. Daily demand is distributed normally with mean 5 250 and standard deviation 5 50. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of the San Pedro Times should you buy each morning? b. Based on part (a), what is the probability that you will run out of stock?I Carry rents trucks for moving and hauling. Each truck costs the company anaverage of $8,000, and the inventory of trucks varies monthly depending on thenumber that are rented out. During the first eight months of last year, I Carry hadthe following ending inventory of trucks on hand:Month Number of Trucks Month Number of TrucksJanuary 26 May 13February 38 June 9March 31 July 16April 22 August 5I Carry uses a 20 percent annual interest rate to represent the cost of capital.Yearly costs of storage amount to 3 percent of the value of each truck, and the costof liability insurance is 2 percent.a. Determine the total handling cost incurred by I Carry during the period Januaryto August. Assume for the purposes of your calculation that the holding costincurred in a month is proportional to the inventory on hand at the end of themonth.b. Assuming that these eight months are representative, estimate the average annual cost of holding trucks
- Penalty costs can be assessed only against the number of units of demand that cannot be satisfied, or against the number of units weighted by the amount of time thatan order stays on the books. Consider the following history of supply and demandtransactions for a particular part:Number of Items Demand duringMonth Received MonthJanuary 200 520February 175 1,640March 750 670April 950 425May 500 280June 2,050 550Assume that starting inventory at the beginning of January is 480 units.a. Determine the ending inventory each month. Assume that excess demands areback-ordered.b. Assume that each time a unit is demanded that cannot be supplied immediately,a one-time charge of $10 is made. Determine the stock-out cost incurred duringthe six months (1) if excess demand at the end of each month is lost, and (2) ifexcess demand at the end of each month is back-ordered.c. Suppose that each stock-out costs $10 per unit per month that the demandremains unfilled. If demands are filled on a first-come,…Ardie Corporation uses 30,000 units. Each order placed is for 1,500 units. The stockout units is 300. Management is willing to accept a stockout probability of 40 percent. The stockout cost per unit is P3.20. What does the total stockout cost? choose the letter of the correct answera. P2,680.00b. P3,680.00c. P4,680.00d. P5,680.00e. P7,680.00At Matthews Car Repair, customer demand for a certain brand of motor oil is normally distributed with a mean of 15 gallons and a standard deviation of 6 work-days. To be 95% sure that Compact Car Repair will not run out of oil, we should reorder when motor oil in stock is less than _______ gallons. a. 24.9 b. 22.6 c. 23.7 d. 20
- You are conducting a retrospective analysis for an Order-Up-To system (thus, the unsold inventory at the end of a week is carried over to the next week). The beginning inventory in week 1 is 150 units, the demand in week 1 is 180 units and the demand during week 2 is 250 units. If you receive a shipment of 115 units every week, at the end of week 2, the inventory level is 180 the inventory level is 200 the inventory level is 310 the backorder level is 30 the backorder level is 50 none of the above is correctChris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.Which of the following statements is true: (T, S) policies require more safety stock than (s, Q) policies to achieve the same CSL. An (s, Q) policy where both demand and lead-time are stochastic requires more safety stock than an (s, Q) policy where only the demand is stochastic. For an (s, Q) policy, the reorder level is always larger than the safety stock. All of the above.