...Economic Order Quantity (EOQ) Economic order quantity (EOQ) is the order quantity of inventory that minimizes the total cost of inventory management. Two most important categories of inventory costs are ordering costs and carrying costs. Ordering costs are costs that are incurred on obtaining additional inventories. They include costs incurred on communicating the order, transportation cost, etc. Carrying costs represent the costs incurred on holding inventory in hand. They include the opportunity cost of money held up in inventories, storage costs, spoilage costs, etc. Ordering costs and carrying costs are quite opposite to each other. If we need to minimize carrying costs we have to place small order which increases the ordering costs. If we want minimize our ordering costs we have to place few orders in a year and this requires placing large orders which in turn increases the total carrying costs for the period. We need to minimize the total inventory costs and EOQ model helps us just do that. Total inventory costs = Ordering costs + Holding costs | By taking the first derivative of the function we find the following equation for minimum cost EOQ = SQRT(2 × Quantity × Cost Per Order / Carrying Cost Per Order) | Example ABC Ltd. is engaged in sale of footballs. Its cost per order is $400 and its carrying cost unit is $10 per unit per annum. The company has a demand for 20,000 units per year. Calculate the order size, total orders required during a year, total...
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...November 3, 2011 MGMT 3624 -‐ Case 3: B&L Inc. Assignment 1) What do you think of the quote from Mayes? • How would you respond? • What information would you request? 2) Can Brian Wilson use the EOQ formula here to establish the lot size? • Do all of the EOQ assumptions hold here? 3) Do you think B&L should outsource the bracket? • Why or why not? 4) What would you say to the plant manager? 5) Is the cost savings sufficient enough to move the business to Mayes? Assume that you were in the position of Brian Wilson: What would be your analysis of the opportunity to outsource the outrigger bracket? B. If B&L was to outsource the outrigger bracket to Mayes, what lot sizes would you specify and why? (Note: You must address this question, regardless of your response to Question A.) A. MGMT 3624 Case 3: B&L Inc....
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...104 2. The BOM inventory for July is: 3202146.922 3. Monthly reductions for September in dollars are: 631736.68 4. Monthly additions for October are: 4465620.22 5. EOM inventory for September is: 3202146.922 Part II: Solve the problems below related to chapter 16. This is also on the video. 1. What should be the initial markup percent in a department having the following figures? (Formula page 412 – required initial markup percentage). Net sales = $150,000 Profit = $7,000 Expenses = $45,000 Reductions = $12,000 Initial markup percentage = 640000/162000 = 39.5% 2. What should be the Reductions in a department having the following figures? (Formula page 412 – required initial markup percentage). Net sales = $150,000 Profit = $6,000 Expenses = $60,000 Initial markup percentage = 52.33% Reductions = 26211.45 3. Given the following information, calculate open to buy at retail and cost (formula page 411. You will have to calculate planned purchases first using the formula on the same page and then use the formula for open to buy) Sales = $30,000 Reductions (markdowns)= $2,000 EOM inventory = $30,000 BOM inventory = $36,000 Purchase commitments (on order) = $6,000 Cost complement (cost as % of selling price) = 60% PLANNED PUR =30000+2000+30000-36000 =26000 OTB(RETAIL) = 26000-6000 = 20000 OTB(COST)= 20000 * 60% =12000...
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...THE EOQ MODEL Name: Course: Tutor: Date: The EOQ Model The types of costs minimized by the EOQ formula The first one is the inventory holding cost, which is a representative of the capital cost incurred by the management. This covers all the costs spent on units, the space the units consume, deductions on inventory, and the desuetude allowances. These costs are measured as a product of unit and time, which define the rate of demand. The other cost is the cost on fixed orders. This represents all costs incurred in order placements but excludes the unit costs. Thus, this costs accounts for the costs incurred in the receiving and the placing of an order. When it comes to the case of manufacturing, it accounts for the costs of putting in place the necessary equipment in the production of order-quantity. These costs are very significant and must thus, be accounted for in any company (Schwarz, 2008). The difference between the POQ model and the EOQ model The EOQ model considers a tradeoff between the cost of ordering and the storage cost when choosing the amount to use in the replenishment of item inventories. The quantity of order is quite affected by the ordering frequency and this extends to affect the cost of ordering. Holding a larger inventory in average increases the storage costs in that particular month. On the other hand, the POQ model considers one product at any particular time. This is because the materials for production...
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...University of Dhaka Department of Management Information systems MBA (Evening) Program Semester : Summer, 2015 Course Name : Simulation and System Modeling (EMIS 521) Instructor : Dr. K. M. Salah Uddin Designation : Associate Professor Prepared by a group consisting of following members: Name | ID No. | Nakib H. Khan | :17-030 | Rokshana Akter | :17-018 | Taslima Parvin | :19-059 | Rezaul Hasan Bhuiyan | :19-075 | Md Anisur Rahman | :20-021 | Md Shahriar Shaon | :21-071 | Date of Submission and Presentation: August 30, 2015 Letter of Transmittal August 30, 2015 Dr. K. M. Salah Uddin Associate Professor Department of Management Information Systems University of Dhaka MBA (Evening) Program Subject: Term Paper on Simulation of Inventory System. Dear Sir, As this term paper is an inseparable part of our Simulation and System Modeling course, we were asked to prepare a term paper on “Simulation of Inventory System”. We devoted our skills and knowledge to efficiently and effectively handle this task. While preparing the term paper, we utilized what we have learnt throughout the semester in this course and capitalized on this opportunity to acquire some in-depth knowledge regarding “Simulation of Inventory System”. We are pleased to we submit hereby the term paper for your kind evaluation. We are always available if it is necessary for any query. Sincerely yours, Md Anisur Rahman ID # 20- 021 In favor of the group ...
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...propose a new modeling scenario. As a fact, most of the popular statistical techniques assume that studied data are normally distributed under certain conditions. Therefore, a normality test was performed to: Test if demand is well-modeled by a normal distribution or not. Find out descriptive statistics about the demand distribution such as mean, standard deviation and P-value. Test result revealed that the demand is normally distributed with: Mean = 0.664 Standard Deviation = 0.776 P-Value < 0.005 Below are graphical presentations for test results. USED FORMULAS AND ABBREVIATIONS Before starting our calculation of the current situation and the proposed models, we will present the used formulas and abbreviations: EOQ= √((2*D* C_P)/C_H ) TBO= EOQ/d TARGET=d [∑_(t=1)^(Z-1)▒〖t+(TBO-Z)*Z 〗] TC = (C_P*q)+( ( I ) ̅* C_H) ROP = Averager DDLT + SS SS=Z √L* σ_d EOQ = Economic Order Quantity D = Annual Demand C_P= Order Cost...
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...objectives of the company. Current Situation Three Jays, as I have learned, is a company which produces and distributes organic jams and jellies. To sustain the growth rate of the last three years, it is necessary to launch a marketing campaign, which would have an estimated return of 20%. However, it is not possible to do so unless the current inventory levels of finished goods are reduced. Updating the EOQ/ROP procedure I began my work by updating the EOQs (Economic Order Quantities) and ROPs (Reorder Points) for the five different SKUs (Stock-keeping Units) scheduled to be produced in the last week of June (see Annex 1 for nomenclature of the different SKUs). This update was necessary in order to account for the increase in demand in the last year. The requirement to produce a given amount of a SKU is generated each time the stock level for that SKU falls bellow its ROP, which equals three weeks of inventory for each SKU based on average weekly demand, as determined by the sales for the company's first full year of operations. The result was a higher EOQ and ROP for every single SKU (see Annex 1), which would mean that the company would need a greater inventory level, which is contrary to the goals which they are currently trying to...
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...unit cost into yearly sales. SP stands for total cost. * The Column F stands for the demands per week which is calculated by the division of last 12 month sales by 52 weeks * The Column G stands for the whole number. * The column H stands for the Reorder units * The column I stands for inventory in last year end * The column J stands for total inventory which is an addition of reorder units and inventory in year end * The column K determines the stock cover for every item * The column L stands for stock turn * The column M stands for stock for 52 weeks * The column N stands for stock week for 10 weeks * The column O and the column P shows the ABC analysis * The column Q determines the EOQ for A items * The values are categorized by their catalogue reference number....
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...Operations Management I 73-331 Winter 2012 Odette School of Business University of Windsor Midterm Exam II Solution Saturday, March 24 Education Building Room ED 1101 Aids Permitted: Calculator, straightedge. Time available: 1 hour 20 min Instructions: 0 This exam has 12 pages including this cover page and excluding 5 pages of formula and table. 1 Please be sure to put your name and student ID number on each odd numbered page. 2 Show your work. 3 State results up to four decimal places. 4 Do not return tables and formula. Grading: Question Marks: 1 /10 2 /15 3 /15 4 /10 5 /15 Total: /65 Question 1: (10 points) Circle the most appropriate answer 1.1 Which of the following is a type I error? a. Process is in-control, but the sample measurement lies outside limit b. Process is out-of-control, but the sample measurements lie within the limit c. Process is in control, and the sample measurements lie within the limit d. Process is out-of-control, and the sample measurement lies outside limit 1.2 Which of the following control charts is the cheapest a. X char b. R chart c. p chart d. 3 sigma chart 1.3 Type II error increases if a. sample size increases c. control limits are narrower d. control limits are wider 1.4 If EF=12 and LF=12 for the same activity, then a. Slack time of the activity is 12 b...
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...Waiting Time Formula, Multi Parallel Resources (Servers) Utilization, u = (1/a)/(m x 1/p) = p/am Tq = (p/m) x (u^[√(2(m+1)-1)-1]/(1-u) x (CVa2+CVp2)/2 Iq = (1/a)*Tq Ip = u*m = (1/a)*p I = Iq + Ip Flow Time = Tq + p Waiting Time Formula, Multi Parallel Resources (Servers) Utilization, u = (1/a)/(m x 1/p) = p/am Tq = (p/m) x (u^[√(2(m+1)-1)-1]/(1-u) x (CVa2+CVp2)/2 Iq = (1/a)*Tq Ip = u*m = (1/a)*p I = Iq + Ip Flow Time = Tq + p Waiting Time Formula, Single Server Utilization, u = Flow Rate/Capacity = (1/a)/(1/p) = p/a Inventory Related Measures Iq = (1/a) x Tq Ip = u I = Iq + Ip Time in queue, Tq = Activity Time (p) x (u)/(1-u) x (CVa2+CVp2)/2 Flow Time = Tq + p Waiting Time Formula, Single Server Utilization, u = Flow Rate/Capacity = (1/a)/(1/p) = p/a Inventory Related Measures Iq = (1/a) x Tq Ip = u I = Iq + Ip Time in queue, Tq = Activity Time (p) x (u)/(1-u) x (CVa2+CVp2)/2 Flow Time = Tq + p Inter-Arrival Time, a = amount of time between two arrivals to a process Arrival process is Stationary over a period of time if the number of arrivals on any sub interval depends only on length of interval, not on when interval starts a = average inter-arrival time (IAi+1 – IAi) Sa = standard deviation (absolute measure of variability) CVa = Standard deviation/average inter-arrival time (Sa/a) – relative variability CVp = Standard deviation/Average activity time (Sp/p) Abnormal peaks of processing time Would be more efficient to automate...
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...system (AIS). There are some complicated issues regarding the inventory and the AIS contributes a lot to the solutions for these problems. Among those issues, to determine the correct quantity to have on hand should be paid attention to, because the effective management of the inventory’s quantity can lead to a cost-saving effect. First of all, one question will be asked: what does the “correct” quantity mean? Actually, based on the effects mentioned above, the correct quantity is closely related with an economic level of inventory. There are a few formulas and concepts of the quantity and cost of inventory. Maximum inventory level Maximum inventory level equals the sum of the economic order quantity (EOQ) and the safety stock. The EOQ refers to the optimum order size when the holding costs and the ordering costs are equal with the assumption that no seasonality in sales exist. During the process of determine the EOQ, a corporation need to balance the cost of holding merchandise and the cost of ordering merchandise. (1) The cost of holding: 1) Lead-time: the period of time between the ordering of product and its receipt from a vendor 2) Lead-time stock: the amount of stock necessary to cover sales during lead-time without dipping into safety stock 3) Reorder point: the sum of the safety stock and the lead-time stock (2) The cost of ordering mainly involves the creation of purchase order (PO), sending PO to the vendor, handling the merchandise when received...
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...Production Systems Assumptions: * available set of machine technology is fixed (short term production control decisions) * organization of production has been determined Production system * collection of material, labour, capital, and knowledge that goes into manufacture of a product * how the collection of components is put together in a specific situation defines a particular system Taxonomy of Production Systems * by different criteria and meaningful analysis applied * by production flow characteristics Production processes can be either continuous or discrete (or one at a time fashion). Three Major Building Blocks in a Production System 1. Machine Technology Base (or the Tools for Production) * Sets boundaries on the processes that can be employed in converting inputs to finished products * Long term planning decisions * Major component of productivity improvement 2. Organization * Product layout * Organizes people and machines that is satisfactory for the production of a single product * Sequential operations * Flow line organization of a production * Process layout * According to the manufacturing process involved in the production of products * Machinery is grouped based on common purposes * When there are a large number of different products using the same machinery but not necessarily in the same order * Job shop ...
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...INVENTORY MANAGEMENT AND CONTROL* INVENTORY MANAGEMENT AND CONTROL concerns most managers of agricultural marketing and supply businesses, whether they are retail, wholesale, or service oriented. The value of a manager to an agricultural marketing and supply business depends on his ability to manage inventories effectively. The total cost of maintaining the desired inventory level must be held down to a reasonable figure, but the inventory must also be large enough to permit the company to effectively merchandise the products and services it sells. If the manager doesn't control his inventories to accomplish both of these objectives, the business may not be able to prosper or even to survive against competition. The information in this circular suggests to the manager ways on how best to do four things: Y How to control inventories. Y How to visualize the inventory costs to be included in determining how much inventories are costing the company. Y How to determine the level of inventory that is most profitable. * Y How to determine how much to order and how often to order. Controlling Inventories Purchase systematically. Place orders for materials long enough beforehand so there will not be a shortage between ordering and delivery. Let the inventory become relatively low before reordering but keep enough on hand to meet current needs. There are costs associated with keeping large inventories. Likewise, there are costs if you deplete your stock. Don't hold “dead” lines...
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...the process of analyzing the company’s current forecasting model and recommending an inventory control model by ordering optimum units to help them solve their current issue. As a result, an Economic Order Quantity (EOQ) and a variable cost was recommended to help them reduce their product stock outs. The shortage of raw material for production always makes the process discontinuous and reduces the productivity. The ABC analysis technique for the inventory control system is first used to identify the most important multiple products and then the economic order quantity (EOQ) of each product is...
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...indicated that the cost per unit could vary anything from Rs.70 to Rs.100 (a discrete uniform distribution with the average of Rs.85 and range of Rs.30). From the indications given by the bankers of the company, it is likely that the next year carrying cost as a percentage of Cost per Unit would follow normal distribution with mean of 4% and standard deviation of 1.5%. The cost of placing the order follows subjective normal probability distribution as follows:- Cost of Rs.10 15% Rs.15 30% Rs.20 40% Rs.25 10% Rs.30 5% Simulate the possibilities with 3,000 trials. The EOQ is given by EOQ = Where Q is the annual Demand, CO is ordering cost per order, CU is Cost per unit and CC% is carrying cost in percentage terms. The Uniform Distribution variable can be converted in Triangular Distribution variable by using the following Formula =IF(r<=(c-a)/(b-a), a+SQRT(r*(b-a)*(c-a)),b-SQRT((1-r)*(b-a)*(b-c)) Where ‘r, ‘a’, ‘b’ and ‘c’ having usual...
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