...CHAPTER 4 SI UNIT PROBLEMS SOLUTION MANUAL SONNTAG • BORGNAKKE • VAN WYLEN FUNDAMENTALS of Thermodynamics Sixth Edition Sonntag, Borgnakke and van Wylen CONTENT SUBSECTION Correspondence table Concept problems Force displacement work Boundary work: simple one-step process Polytropic process Boundary work: multistep process Other types of work and general concepts Rates of work Heat transfer rates Review problems English unit concept problems English unit problems PROB NO. 1-19 20-30 31-46 47-58 59-70 71-81 82-94 95-105 106-116 117-122 123-143 Sonntag, Borgnakke and van Wylen CHAPTER 4 6 ed. CORRESPONDANCE TABLE The new problem set relative to the problems in the fifth edition. New 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 5th 1 2mod new New New 3 4 new New new New New 18 27 new new 5 new New 13 new new New New New 22 45 mod 8 12 14 New New New New 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 5th new 19 20 33 mod 37 36 15 30 6 New 32 7 9 34 10 New New 26 39 New 40 New New New New 58 59 60 61 New New New New New 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 5th new new new 43 new New new new New 47 HT 48 HT 49 HT 50 HT mod 51 HT mod 52 HT 53 HT 54 HT 55 HT 56 HT 57 HT 31 mod 11 16 17 23 21 mod 28 29 24 44 35 th Sonntag, Borgnakke and van Wylen The English unit problem set is...
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...MIS 208 SPRING 2015 HOMEWORK 1 (due 13:15 on Monday, 6 April 2015, in class at 101) Reading Assignment: Please read section Duality and Sensitivity Analysis of the text book Winston. You will be responsible on that section in the exam. Question 1: Two different products, P1 and P2 can be manufactured by one or both of two different machines, M1 and M2. The unit processing time of either product on either machine is the same. The daily capacity of machine M1 is 200 units (of either P1 or P2, or a mixture of both) and the daily capacity of machine M2 is 250 units. The shop supervisor wants to balance the production schedule of the two machines such that the total number of units produced on one machine is within 5 units of the number produced on the other. The profit per unit of P1 is $10 and that P2 is $15. Set up the problem as an LP in equation form. Question 2: A company manufactures purses, shaving bags and backpacks. The construction includes leather and synthetics, leather being the scarce raw material. The production process requires two types of skilled labor: sewing and finishing. The following table gives the availability of the resources, their usage by the three products, and the profits per unit. a) Formulate the problem as a linear program and find the optimal solution by using appropriate Simplex Methods that you have seen in the class b) From the optimum solution determine the status of each resource. Question 3: The following tableau...
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...HYDRAULICS LAB #1 The objective of this lab is to test the fluid flow provided by the power unit at various discharge pressures, and create a power unit characteristic curve. 1. Build on the trainer the hydraulic circuit shown in the figure below, using the components listed here. hydraulic power unit (2) pressure gauges flow control valve (FCV) – simulated load flow-meter Page 1 of 2 2. Initial setup: a. Fully close (CW) the FCV, and fully open (CCW) the pressure relief valve on the power unit. b. Start the power unit, and slowly adjust the pressure relief valve until pressure gauge P1 reaches 50 bar. Let the unit run for a few minutes then check and adjust P1 if necessary. c. Do not touch the pressure relief valve for the remainder of the lab. d. Fully open the FCV. 3. Test: a. Record the pressures P1, P2 and the flow rate under the “Min.” column in the table below. b. Slowly turn the FCV CW, adding a simulated load to the system. When the pressure at P1 increases to 15 bar, stop and record pressure P2 and the flow rate. c. Repeat for all columns listed in the table. The final column, listed as “Max Pres.” should be run with the FCV fully closed. Note the sound of the power unit during this test. You should detect changes in tone as the load (pressure) is increased. P1 Pressure (bar) P2 (bar) Flow Rate (lpm) Min * 15 20 25 30 35 40 45 46 47 48 49 Max. Pres. * minimum pressure attained, with flow control fully open HYDRAULICS LAB #1 Page 2 of 2 Lab Report: ...
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...18 6 Demand 24 7 Revealed Preference 27 8 Slutsky Equation 30 9 Buying and Selling 33 10 Intertemporal Choice 37 12 Uncertainty 39 14 Consumer Surplus 43 15 Market Demand 46 18 Technology 48 19 Profit Maximization 52 20 Cost Minimization 54 21 Cost Curves 57 22 Firm Supply 59 23 Industry Supply 62 24 Monopoly 64 2 25 Monopoly Behavior 67 26 Factor Market 72 27 Oligopoly 76 28 Game Theory 80 30 Exchange 85 3 Ch. 1. The Market I. Economic model: A simplified representation of reality A. An example – Rental apartment market in Shinchon: Object of our analysis – Price of apt. in Shinchon: Endogenous variable – Price of apt. in other areas: Exogenous variable – Simplification: All (nearby) Apts are identical B. We ask – How the quantity and price are determined in a given allocation mechanism – How to compare the allocations resulting from different allocation mechanisms II. Two principles of economics – Optimization principle: Each economic agent maximizes its objective (e.g. utility, profit, etc.) – Equilibrium principle: Economic agents’ actions must be consistent with each other III. Competitive market A. Demand – Tow consumers with a single-unit demand whose WTP’s are equal to r1 and r2 (r1 < r2 ) p r2 r1 1 2 – Many people 4 Q p p Q Q ∞ consumers 4 consumers B. Supply – Many competitive suppliers ¯ ...
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...| Life Stages | Unit number and title | Unit 4:Development Through the Life Stages | Assessor | Kelly Ocloo | Learning aims covered | On completion of this unit a learner should:1. Know the stages of growth and development throughout the human lifespan 2. Understand the potential effects of life factors and events on the development of the individual 3. Understand the physical and psychological changes of ageing | Context | The study of lifespan development is about understanding the way we change over time. In this unit you will be able to identify some patterns in the course of human development and a range of factors that will influence how your life turns out. You will also need to make up your own mind about some very deep questions. Will you have a fixed life course where you can predict much of what will happen to you? How far is your life fixed for you by your genetics or by the social and economic environment you grow up in? How far can you choose to control your own life and can you try to ensure a happy old age? | Overall Scenario | As part of your work experience you have been asked to produce a fact file to show your understanding of the different life stages. You have been asked to discover as much information as possible about a family member (Parent, Aunt, Uncle, Grandparents) or a high profile person, to describe the stages of their life so far and what might happen in the future. | Task 1 Date issued | 17/11/15 | Task 1 Hand in...
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... | |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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...|Assignment brief – QCF BTEC (L3 ONLY) | |Assignment front sheet | |Qualification |Unit number and title | |BTEC L3 Diploma/Ext. Dipl. – Business |UNIT 1 – BUSINESS ENVIRONMENT | |Learner name | Assessor name | | |MARY EC ZAFRA | |Date issued | Hand in deadline |Submitted on | |14 OCTOBER 2015 | 15 November 2015 |18NOV2015 | | | | |Assignment No. & title |Assignment 1/2 - The Businesses We See | |In this assessment you will have opportunities to provide evidence...
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...understanding of how gas turbines operates, and the parameters which influence their efficiency. Theory Apparatus The Gunt ET972 Small Gas Turbine Demonstration Unit is an educational instrument, designed with ergonomics in mind, and is equipped with a number of displays to convey performance information. Propane is used as the fuel. As small size and a range of options are required in an educational setting, efficiency is not a priority and hence suffers as the unit is optimised for practicality rather than power output. Gas turbines are effectively vibration free as there is no reciprocal motion as in a piston engine, have a very high power to weight ratio, and when coupled to an electrical generator, are used to account for unexpected rises in power electricity demand. Schematic diagram on the front side of the Gunt ET972 Small Gas Turbine Demonstration Unit, outlining the main controls and information displays to the user. Table of Results | | | | | | | Experiment No. | 1 | 2 | 3 | 4 | 5 | | Gas TG °C | 22.8 | 25.3 | 26.8 | 27.6 | 27.7 | | Gas Nozzle Pressure, PD [Barrel] | 0.64 | 0.78 | 0.89 | 0.98 | 1.1 | | Compressor Inlet, T1 [°C] | 32.3 | 33.4 | 32.8 | 33.2 | 34 | | Compressor Inlet, T2 [°C] | 79.2 | 88.4 | 97.7 | 103.2 | 111.1 | | Comb. Chamber Differential Pressure, ΔP [P2-P3] | 0.012 | 0.0136 | 0.0146 | 0.0154 | 0.0166 | | Turbine Inlet, T3 [°C] | 769 | 793 | 808 | 820 | 840 | | Turbine Inlet, P3 [Bar] | 0.56 | 0.63 | 0.73...
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...curve and the budget line; (ii) a kink in an indifference curve; (iii) a “corner” where the consumer specializes in consuming just one good. Here is how you find a point of tangency if we are told the consumer’s utility function, the prices of both goods, and the consumer’s income. The budget line and an indifference curve are tangent at a point (x1 , x2 ) if they have the same slope at that point. Now the slope of an indifference curve at (x1 , x2 ) is the ratio −M U1 (x1 , x2 )/M U2 (x1 , x2 ). (This slope is also known as the marginal rate of substitution.) The slope of the budget line is −p1 /p2 . Therefore an indifference curve is tangent to the budget line at the point (x1 , x2 ) when M U1 (x1 , x2 )/M U2 (x1 , x2 ) = p1 /p2 . This gives us one equation in the two unknowns, x1 and x2 . If we hope to solve for the x’s, we need another equation. That other equation is the budget equation p1 x1 + p2 x2 = m. With these two equations you can solve for (x1 , x2 ).∗ Example: A consumer has the utility...
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...Portfolio Modeling and Evaluation: Beating the Market ABSTRACT During the period of 2005 to 2010, the market portfolio (P1) and one suggested portfolio (P3) post a positive absolute return of 0.80% and 0.82% respectively which underperformed the active fund portfolio (P2) 0.91%. This report follows various modeling methods in order to back test the performance of the active fund portfolio and compare its performance with that of two other portfolios. The findings indicate that, even though P2 achieves the highest return on the overall performance, the limitations such as the macro environment, the assumptions set, and the Shrinkage method used that accidentally downsizes some valuable stocks in out-‐samples as they are closely correlated are being ignored. By contrast, P3 will probably offer a “middle-‐choice” which will bring a promising and more stable return. 1 Portfolio...
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...Notes CIMA Paper P2 Management Performance For exams in 2013 theexpgroup.com CIMA P2 Performance Management ExPress Notes Contents About ExPress Notes 1. 2. 3. 4. Pricing and Product Decisions Cost planning and analysis Budgeting and Management Control Control/Performance Measurement of Responsibility Centres 3 7 22 31 37 Page | 2 © 2013 The ExP Group. Individuals may reproduce this material if it is for their own private study use only. Reproduction by any means for any other purpose is prohibited. These course materials are for educational purposes only and so are necessarily simplified and summarised. Always obtain expert advice on any specific issue. Refer to our full terms and conditions of use. No liability for damage arising from use of these notes will be accepted by the ExP Group. theexpgroup.com CIMA P2 Performance Management ExPress Notes START About ExPress Notes We are very pleased that you have downloaded a copy of our ExPress notes for this paper. We expect that you are keen to get on with the job in hand, so we will keep the introduction brief. First, we would like to draw your attention to the terms and conditions of usage. It’s a condition of printing these notes that you agree to the terms and conditions of usage. These are available to view at www.theexpgroup.com. Essentially, we want to help people get through their exams. If you are a student for the CIMA exams and you are using these notes for yourself only, you...
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...Demand and Supply: The Basics 21 FUNDAMENTALS OF ECONOMICS FOR BUSINESS - (Second Edition) © World Scientific Publishing Co. Pte. Ltd. http://www.worldscibooks.com/economics/6794.html Chapter 2 Introduction The most basic, and in many ways the most lasting, lesson to be learnt from “Economics 101” relates to the fundamental concepts of demand and supply and their interaction. These are usually presented in a simple graphical format involving demand and supply “curves”. The word is in quotes because in this chapter, for simplicity, we will actually assume only straightline relationships between price and quantities demanded and supplied. The main issue that is important in reality is the direction of the relationship between prices and quantities. Will a reduction in price lead to an increase in the quantity demanded of any particular product or service? Will an increase in price lead to an increase in supply? And so on. The principal technical tools for analyzing demand and supply conditions in particular markets, then, are the demand and supply schedules or curves. The demand curve shows an estimate or conjecture about the relationship between the price of any particular product or service and the quantity of that product that will be demanded by consumers. It is usually assumed to slope downward, in the general case, for most products and services. In other words, the lower the price of the item, the greater the quantity of it that will be demanded. Technically, this...
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...ECONOMICS 247 ASSIGNMENT 1 VERSION B 1a. The study of economics is the study of how society manages its scarce resources. If however, this was no longer the case and scarcity disappeared, then the study of economics would cease to exist. There would be no point in tracking how society manages its resources if everyone can get exactly what they wanted. Opportunity cost would also cease to exist due to the fact that there would be no more scarcity. Opportunity cost is the cost of the choice that the consumer makes in terms of what the consumer must give up to get it. If everyone can get what they wanted due to the unlimited resources then consumers wouldn`t have to make choices. b. The difference between a “change in supply” and “a change in quantity supplied” is that one is a shift in the supply curve and the other is a movement along the supply curve. A change in supply is a shift in the supply curve and a change in quantity supplied is a movement along a fixed supply curve. 2a. Microeconomics studies “the impact of a change in consumer income on the purchase of luxury automobiles” b. Microeconomics studies “the effect of a change in the price of Coke on the purchase of Pepsi” c. Macroeconomics studies “the impact of a war in the Middle East on the rate of inflation in Canada” d. Macroeconomics studies “factors influencing the rate of economic growth” 3a. The determinant of supply that has an impact is change in technology. The cost of producing hot chocolate is reduced...
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...1 Marks: 1 Based on data in the table, which of the statements below is true at a production level of 4 units? Quantity | Total Revenue | Total Cost | 0 | $0 | $4 | 1 | $20 | $14 | 2 | $40 | $26 | 3 | $60 | $40 | 4 | $80 | $56 | 6 | $120 | $94 | 7 | $140 | $116 | 8 | $160 | $140 | 9 | $180 | $166 | Choose one answer. | a. Marginal cost is $6. | | | b. Total revenue is greater than total variable cost. | | | c. Total revenue is greater than total cost. | | | d. Marginal revenue is less than marginal cost. | | | e. Both b and c are correct. | | Question 2 Marks: 1 Susan quit her teaching job, which paid her $36,000 per year, in order to start her own catering business. She spent $12,000 of her savings, which had been earning 10% interest per year, on equipment for her business. She also borrowed $12,000 from her bank at (10% interest) and spent it on equipment. For the past several months, she has spent $1000 per month on ingredients and other variable costs. She has also taken in $3500 in monthly revenue for the past several months. Choose one answer. | a. In the short run, Susan should shut down her business and in the long run she should exit the industry. | | | b. In the short run, Susan should continue to operate her business, but in the long run she should exit the industry. | | | c. In the short run, Susan should continue to operate her business, but in the long run she will probably face competition from...
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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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