...expected number of customers that will arrive in a five-minute period? The expected number is of 0.4*5 = 2 customer is a five-minute period. b) Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period. The probabilities of the described scenarios are as follows: P0=20e-20! P0=0.135335283 P1=21e-21! P1=0.270670566 P2=22e-22! P2=0.270670566 P3=23e-23! P3=0.180447044 c) Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur? This probability can be expressed as the probability of more than 3 customers arriving during the five-minute period, which can be computed as following: P(x > 3) = 1 – P(x ≤ 3) P (x > 3) = 1 – 0.85712346 P(x > 3) = 0.14287654 Thus, there is a 14, 29% probability of expected delays in five-minute period. Problem 3 Use the single-server drive-up bank teller operation referred to in Problems 1 and 2 to determine the following characteristics for the system: Using arrival rate and service rate PER MINUTE a) The probability that no customers are in the system P0=1- 0.40.6 P0=0.3333 b) The average number of customers waiting Lq=0.420.6(0.6-0.4) Lq=1.3333 c) The average number of customers waiting L = 1.3333 + 0.40.6 L = 2 d) The average time a customer’s...
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...Al Kobaisi Group is a ready mix company which has three plants in various locations among Kingdom of Bahrain. They signed a contract with Al-Moayed contracting to supply them with concrete mix for three different projects located at three different areas. The following tables show the amount of concrete mix each plant can provide and required quantities for each project: Al Kobaisi Group Plants | Supply | P1 | 200 m3/day | P2 | 450 m3/day | P3 | 325 m3/day | Project Name | Demand | M1 | 100 m3/day | M2 | 375 m3/day | M3 | 500 m3/day | Al Kobaisi Group will rent the trucks from a transportation company to transfer the concrete mix from the plants to the sites. Sales manager of Al Kobaisi Group wants to know the optimum way of assignment of trucks in which the cost will be minimum. Use the below table in order to help the manager in taking the decision using one of the L.P models. P/M | M1 | M2 | M3 | Supply | P1 | 20 | 5 | 13 | 200 | P2 | 9 | 18 | 7 | 450 | P3 | 11 | 16 | 23 | 325 | Demand | 100 | 375 | 500 | | In order to solve the above mentioned problem we are going to use transportation model. However, before starting the solution a brief description of the model will be illustrated as follow: Transportation Problem Many practical problems in operations research can be broadly formulated as linear programming problems, for which the simplex this is a general method and cannot be used...
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...Case Studies 1. SOLUTION TO STARTING RIGHT CASE, CH. 3, PAGE 110 This is a decision-making-under-uncertainty case. There are two events: a favorable market (event 1) and an unfavorable market (event 2). There are four alternatives, which include do nothing (alternative 1), invest in corporate bonds (alternative 2), invest in preferred stock (alternative 3), and invest in common stock (alternative 4). The decision table is presented. Note that for alternative 2, the return in a good market is $30,000 (1 + 0.13)5 = $55,273. The return in a good market is $120,000, (4 x $30,000) for alternative 3, and $240,000, (8 x $30,000) for alternative 4. Payoff table Laplace Event 1 Alternativ e1 Alternativ e2 Alternativ e3 Alternativ e4 0 55,273 Event 2 0 – 10,00 0 – 15,00 0 – 30,00 0 Average Value 0.0 22,636.5 Minimu m 0 – 10,000 – 15,000 – 30,000 Maximu m 0 55,273 Hurwicz Value 0.00 – 2,819.9 7 –150.00 120,00 0 240,00 0 52,500.0 120,000 105,000. 0 240,000 –300.00 Regret table Maximum Alternative Alternative 1 Alternative 2 Alternative 3 Alternative 4 Event 1 240,000 184,727 120,000 0 Event 2 0 10,000 15,000 30,000 Regret 240,000 184,727 120,000 30,000 a. Sue Pansky is a risk avoider and should use the maximin decision approach. She should do nothing and not make an investment in Starting Right. b. Ray Cahn should use a coefficient of realism of 0.11. The best decision is to do nothing. c. Lila Battle should eliminate alternative 1 of doing nothing and apply the maximin...
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...Case Studies 1. SOLUTION TO STARTING RIGHT CASE, CH. 3, PAGE 110 This is a decision-making-under-uncertainty case. There are two events: a favorable market (event 1) and an unfavorable market (event 2). There are four alternatives, which include do nothing (alternative 1), invest in corporate bonds (alternative 2), invest in preferred stock (alternative 3), and invest in common stock (alternative 4). The decision table is presented. Note that for alternative 2, the return in a good market is $30,000 (1 + 0.13)5 = $55,273. The return in a good market is $120,000, (4 x $30,000) for alternative 3, and $240,000, (8 x $30,000) for alternative 4. Payoff table Laplace Hurwicz Event 1 Event 2 Average Value Minimu m Maximu m Value Alternativ e1 0 0 0.0 0 0 0.00 Alternativ e2 55,273 – 10,00 0 22,636.5 – 10,000 55,273 – 2,819.9 7 Alternativ e3 120,00 0 – 15,00 0 52,500.0 – 15,000 120,000 –150.00 Alternativ e4 240,00 0 – 30,00 0 105,000. 0 – 30,000 240,000 –300.00 Regret table Maximum Alternative Event 1 Event 2 Regret Alternative 1 240,000 0 240,000 Alternative 2 184,727 10,000 184,727 Alternative 3 120,000 15,000 120,000 Alternative 4 0 30,000 30,000 a. Sue Pansky is a risk avoider and should use the maximin decision approach. She should do nothing and not make an investment in Starting...
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...Managing financial resources and decisions Part 1 Assignment 1 Task 1 Sources of finance for different businesses Different sources of finance are given for, old, large small etc organizations. Type | Cost | Payback Terms | Sizes | Advantages | Disadvantages | Personal Savings | No cost | None | | Easy, cheap | Risk of Loss | Friends & Family | Usually good rate or none | Very flexible | | Flexible, best value | Can create friction | Home Mortgages - Traditional or Seconds | 7-9%8-14% on equity loans | Very long and flexible | 80-100% + of home equity value | Cheapest, longest term | Your house is at risk in the event of non-payment | Suppliers | Free | 30 days +/- | | Inexpensive, unsecured | Short term | Venture capital | 25-40% | 5-7 years | $500,000+ | Can get large amounts | Very hard to get; share ownership | Leasing companies | 12-18% | 5-7 years | Varies | Same as above; also 100% financing | | Banks | 6-9% | 1-5 years | $50,000+ | Generally least expensive | Generally hardest to qualify for | Task 2: a) Importance of financial planning for Barlett Company Some important factors are given below for the company: - * It helps in managing income more effectively through planning. * Increasing cash flows by carefully monitoring company’s spending patterns and expenditures. * Allowing the company to consider investments to improve its overall financial matters. b) Information needs of the different decision makers In the below table...
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...|Assignment brief – QCF BTEC | |Assignment front sheet | |Qualification |Unit number and title | |BTEC Level 3 Extended Diploma In Business |Unit 16: Human Resource Management in Business | |Learner name | Assessor name | | | C Graham, F Mooney, J Robinson, E Smith | |Date issued | Hand in deadline |Submitted on | |1 W/E 26/01/2015 |W/E 27/02/15 | | |2 W/E 26/01/2015 |W/E 27/03/15 | | |3 W/E 26/01/2015 |W/E 17/04/15 | | |4 W/E 26/01/2015 |W/E 15/05/15...
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...[pic] Braeside High School BTEC Extended Diploma in Business ( Marketing) Unit 37 Understanding Business Ethics Assignment brief 1: Ethical issues Assessor Mr. Zachaues Omwenga Date issued: 06/05/2015 Date of Submission: 29/05/2015 This assignment brief assesses |P1 explain the ethical issues a business needs to consider in its operational activities | |P2 explain the implications for the business and stakeholders of a business operating ethically | |P3 describe the social implications of business ethics facing a selected business in its different areas of activity | |M1 assess how a selected business could improve the ethics of their operations | |D1 evaluate the impact of a selected business’s ethical behaviour on stakeholders and the business. | Scenario Businesses are limited in what they do. Sometimes by laws and sometimes by the conventions and social codes we live by. Gathered together these are what we refer to as ethics and they can apply to every aspect of business behaviour. Whereas it could be argued that most laws have their origins in ethics, ethical behaviour, by individuals and business go beyond legal requirement and are discretionary, that is to say we can choose to follow them or not. You have been asked to research and draw up a...
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...[pic] Braeside High School BTEC Extended Diploma in Business (Marketing) Unit 37 Understanding Business Ethics Assignment brief 1: Ethical issues Assessor Mr. Zachaues Omwenga Date issued: 06/05/2015 Date of Submission: 29/05/2015 This assignment brief assesses |P1 explain the ethical issues a business needs to consider in its operational activities | |P2 explain the implications for the business and stakeholders of a business operating ethically | |P3 describe the social implications of business ethics facing a selected business in its different areas of activity | |M1 assess how a selected business could improve the ethics of their operations | |D1 evaluate the impact of a selected business’s ethical behavior on stakeholders and the business. | Scenario Businesses are limited in what they do. Sometimes by laws and sometimes by the conventions and social codes we live by. Gathered together these are what we refer to as ethics and they can apply to every aspect of business behaviour. Whereas it could be argued that most laws have their origins in ethics, ethical behaviour, by individuals and business go beyond legal requirement and are discretionary, that is to say we can choose to follow them or not. You have been asked to research...
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...1. Improvements in technology for producing all goods must result in (A) an inward shift in the production possibilities curve (B) an outward shift in the production possibilities curve (C) a flatter production possibilities curve (D) a steeper production possibilities curve (E) greater unemployment of labor 2. The quantity of peanuts supplied increased from 40 tons per week to 60 tons per week when the price of peanuts increased from $4 per ton to $5 per ton. The price elasticity of supply for peanuts over this price range is (A) Elastic (B) Inelastic (C) unit elastic (D) perfectly elastic (E) perfectly inelastic 3. Which of the following best describes the law of demand? (A) The price of a good increases when the demand for the good increases. (B) The price of a good decreases when the supply of the good decreases. (C) When the price of a good increases, its demand decreases. (D) When the price of a good decreases, its quantity demanded increases. (E) Demand creates its own supply. 4. Assume that ice cream is a normal good. If the price of ice cream decreases, the substitution effect and the income effect will lead to which of the following changes in ice cream consumption? | Substitution Effect | Income Effect | (A) | Increase | Decrease | (B) | Increase | Increase | (C) | Increase | No change | (D) | Decrease | Increase | (E) | Decrease | No change | 5. Short-run marginal costs...
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...business’s costs. |a. |Tyler says his costs are $25,900, and Greg says his costs are $66,500. | |b. |Tyler says his costs are $25,000, and Greg says his costs are $65,000. | |c. |Tyler says his costs are $66,500, and Greg says his costs are $66,500. | |d. |Tyler says his costs are $75,000, and Greg says his costs are $41,500. | 2.) Suppose that a firm has only one variable input, labor, and firm output is zero when labor is zero. When the firm hires 6 workers it produces 90 units of output. Fixed cost of production are $6 and the variable cost per unit of labor is $10. The marginal product of the seventh unit of labor is 4. Given this information, what is the total cost of production when the firm hires 7 workers? |a. |$66 | |b. |$76...
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...ACCA P3 – PROFESSIONAL LEVEL Business Analysis SMART Notes Prepared by Darren Sparkes Email: darrensparkesnotes@sky.com ACCA P3 - Business analysis These notes are not intended to cover the whole of the ACCA P3 syllabus ©Darren Sparkes, 2010 1 Contents Page no. Paper 3 Examiners Approach…………….….... 3 Extracts from the Examiners report ……….…...4 Examination Technique……………….…..……..7 Background and examination format..…............9 Syllabus Overview………………………...........10 Strategic Planning………………………...….....11 Mission and Objectives…………………………12 Business & Professional Ethics..………….…...13 Internal Analysis……………….……………..…14 External Analysis……………..………………....15 Strategic Options……………………….……….17 Method of Growth………………………............18 Portfolio Analysis…………………………….….19 Strategic Choice & Change Management…....20 Marketing………………………………………...21 Organisational Structure…………………….….22 International Market Place.…………….……....23 Business Process Change…….…..…………..24 Information Technology……..…….……..........25 Quality………………………………….……......26 Project Management………………………...…27 Role of Finance………………………………...28 Review and Control………………………..…..29 Strategy and People……………………………30 ACCA P3 – Business Analysis These notes are not intended to cover the whole of the ACCA P3 syllabus © Darren Sparkes, 2010 2 Approach Required ‘Differentiation is important to individuals seeking to pass a management and strategy examination. It is the ability to link strategic and financial...
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...dynamically balance the load among servers and improve utilization of resources. There are still some areas that are needed to be focused on in cloud computing. Resource Management Task Scheduling The task scheduling goals of Cloud computing is provide optimal tasks scheduling for users, and provide the entire cloud system throughput and QoS at the same time. Scheduling is the process of allocating tasks to available resources on the basis of tasks need [5].The main purpose for scheduling is to maximize the utilization of resources. Following are the needs of job scheduling in cloud computing: CPU utilization – keep the CPU as busy as possible (from 0% to 100%) Throughput – # of processes that complete their execution per time unit Turnaround time – amount of time to execute a particular Process Waiting time – amount of time a process has been waiting in the ready queue...
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...business’s costs. |a. |Tyler says his costs are $25,900, and Greg says his costs are $66,500. | |b. |Tyler says his costs are $25,000, and Greg says his costs are $65,000. | |c. |Tyler says his costs are $66,500, and Greg says his costs are $66,500. | |d. |Tyler says his costs are $75,000, and Greg says his costs are $41,500. | 2.) Suppose that a firm has only one variable input, labor, and firm output is zero when labor is zero. When the firm hires 6 workers it produces 90 units of output. Fixed cost of production are $6 and the variable cost per unit of labor is $10. The marginal product of the seventh unit of labor is 4. Given this information, what is the total cost of production when the firm hires 7 workers? |a. |$66 | |b. |$76...
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...Unit 1: The business environment Help sheet 1.1.1 P1 Describe the type of business, purpose and ownership of two contrasting businesses To achieve P1, you must complete Task sheet 1.1.1, a case study, as well as Worksheets 1.1.1 to 1.1.4. You must also write a detailed presentation about two organisations. • You must ensure that the two organisations chosen are very different. For example, a large plc, such as Tesco, and a charity, such as Save the Children. This will make it easier to compare the environments. • It is a good idea to choose organisations that you are interested in, but that also have a large amount of information available. Therefore, spend some time researching a few organisations that might be of interest to see which one will make this task the easiest. • The same organisations will be used for tasks other than P1 so look ahead in the assignment to make sure the information you will need is available. • Once you have chosen your organisations, you need to research them in order to be able to identify the type of businesses they are. You must identify which scale they operate at and what sector they operate in. Make sure you give evidence and reasoning to back up your decisions. • The purpose and ownership of a business can often be seen on its website. However, you may find a phone interview very useful for collecting all the information you need. This can then be used as evidence. Remember to reference your work when necessary. ...
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...Modeling and Solving LP Problems in a Spreadsheet Chapter 3 C.T. Ragsdale. 2008. Spreadsheet Modeling & Decision Analysis, 5th E. Revised, Thompson 1 Section 1 EXCEL SOLVER 2 Introduction • Solving LP problems graphically is only possible when there are two decision variables • Few real-world LP have only two decision variables • Fortunately, we can now use spreadsheets to solve LP problems 3 LP Solvers • Conventional – MPS (IBM) – LINDO, GINO – GAMS – AMPL • Algebraic Language • Spreadsheet Modeling • The company that makes the Solver in Excel, Lotus 12-3, and Quattro Pro is Frontline Systems, Inc. Check out their web site: http://www.solver.com – Frontline Solver, Premium Solver, Risk Solver – What’s Best? 4 Steps in Implementing an LP Model in a Spreadsheet 1. Organize the data for the model on the spreadsheet. 2. Reserve separate cells in the spreadsheet for each decision variable in the model. 3. Create a formula in a cell in the spreadsheet that corresponds to the objective function. 4. For each constraint, create a formula in a separate cell in the spreadsheet that corresponds to the left-hand side (LHS) of the constraint. 5 The Simple Farm Model Again! max π = x1 + 1.5x2 s/t x1 + 2x2 ≤ 160 3x1 + 2x2 ≤ 240 x1 ≥ 0, x2 ≥ 0 6 Implementing the Model See file FarmEx original.xls 7 Cell Labels 8 How Solver Views the Model • Target cell - the cell in the spreadsheet that represents the objective function...
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