Homework #7: Answers. Commodity a kj a Lj Price $16 $14 $10 $14 $16
|
|
- Crystal Ramsey
- 7 years ago
- Views:
Transcription
1 Text questions, Chpte 8, poblems 1-3. Homeok #7: Anses 1. Assume tht input-output coefficients e fixed. The tble shos cpitl equiements pe unit output ( kj ) nd lbo equiements pe unit output ( j ) to poduce one unit ech of commodities 1-5. Also shon e peviling pices fo ech commodity. Commodity kj j Pice $16 $14 $10 $14 $16. If the economy hs lbo/cpitl endoment tio of 3:1, ht does it poduce? Wht e the ge te nd ents on cpitl? Constuct the unit vlue isoqunts fo ech of these sectos nd plot the endoment tio (denoted k in the digm). Fom the pictue, it is esy to see tht the economy ill poduce goods 4 nd 5. To find the ge nd entls consistent ith these, use the zeo pofit conditions. In mtix fom, these e:
2 P P P P The deteminnt of the mtix A [ ij ], *A* -2, *A * -2, *A * -24. Thus: *A * / *A* 2/2 1; *A * / *A* 24/2 12. b. If the old pice of commodity 1 should tiple, ould thee be ny chnge in this county s poduction ptten? Fcto Pices? Rel income? If the old pice of commodity 1 tiples, fom $16 to $48, the unit vlue isoqunt fo commodity 1 ould shift tod the oigin sufficiently f tht only goods 1 nd 5 e no poducible. We cn solve fo the ne fcto pices s bove: The deteminnt of the mtix A [ ij ], *A* -15, *A * -16, *A * Thus: *A * / *A* 16/15; *A * / *A* 176/15. c. At the initil pices shon in the tble, ho ould fcto pices diffe in n economy ith the sme technology but cpitl/lbo tio of 3:1? This endoment tio is shon by the line kn in the digm. Unde initil pices, ith endoment tio kn, the economy ould poduce goods 1 nd 2. Using the method fom the pevious to pts (i.e. Cme s ule) e cn solve fo 12 nd 1. d. Fo the economy ith the oiginl lbo/cpitl tio of 3:1, ho ould poduction pttens nd fcto pices chnge if commodity 3 s pice on old mkets should ise by 40 pecent? A 40 pecent incese in the pice of good 3, ith endoment tio k, ill esult in goods 3 nd 5 being poduced. Using the zeo pofit conditions, e cn find 2/3 nd 13 1/3.
3 e. Descibe the ptten of tde fo n economy ith cpitl/lbo endoment tio of 1:1. Fo n economy ith / tio of 1:1, the economy ill specilize in the poduction of commodity Using Figues 8.4 nd 8.5, sho ho n incese in the old pice of commodity 2 ould ffect el ges in to counties shing the sme technology, both of them poducing commodity 2, but ith the home county hving n endoment tio of 0I (Figue 8.5) nd the foeign county ith endoment tio 0M. The essentil fct fom figue 8.5 is tht the Home county hs n endoment tio tht pemits poduction of goods 1 nd 2, hile the foeign county hs n endoment tio tht pemits poduction of goods 2 nd 3. Tht is, these endoments lie in diffeent cones of divesifiction. The elevnt pt of figue 8.4 is epoduced belo. An incese in P 2 ill shift the unit vlue isoqunt fo good 2 tod the oigin. et T : / nd T* */*, nd denote vlues folloing the pice chnge ith N. If the pice chnge is sufficiently smll tht both counties continue to poduce the sme goods s befoe the pice chnge, it must be the cse tht T > TN nd T* < T*N. Note tht this could hve been pedicted fom the Stolpe-Smuelson theoem nd the fct tht good 2 is -intensive fo the Home county, but -intensive fo the Foeign county. If the pice chnge is sufficiently lge tht both counties become specilized to poduction of good 2, the sme eltionships ill hold (i.e. T > TN nd T* < T*N), but no this ill follo fom the eltionship beteen the initil tngencies beteen unit isocost nd unit vlue isoqunt nd the slope of the unit vlue isoqunt t the intesection ith the endoment ys.
4 3. In figue 8.2 points HN nd FN sho ech county devoting the sme esouces to the diffeentited clothing secto s it did in utky. Suppose tht the Home county is eltively lbo-bundnt nd clothing is lbo-intensive eltive to food.. Ho ould this lte the numbe of fims devoted to clothing in ech county? The fct tht the Home county is -bundnt nd clothing poduction -intensive mens tht, ith identicl homothetic pefeences, poduction costs in utky ill be loe in the Home county. Thus, thee ill be moe fims opeting in the Home county, ceteis pibus, unde this ssumption thn unde the ssumption identicl endoments. b. Could the Home county poduce ide viety of clothing ith tde thn the (lge) Foeign county? This could esult in thee being moe clothing poduces in the Home county thn bod. Whethe o not this ctully hppens ould depend on the y tht size nd eltive cost intect. Thus, fo sufficiently lge diffeence in size nd sufficiently simil endoment, the lge (Foeign) county ill continue to poduce moe vieties. On the othe hnd, fo sufficiently simil size nd sufficiently lge diffeence in endoments, the Home county could poduce moe vieties.
5 Wokbook poblems, 1, 2, nd 6 1. Unit-vlue Isoqunts, Poduction Ptten, nd Fcto Pices: The isoqunts dn belo sho the mounts of cpitl nd lbo equied to poduc $1 oth of ech of the goods.. Suppose the endoment of this economy is shon by the k / y. Wht good(s) ill be poduced? Recll tht these e unit vlue isoqunts, defined eltive to equilibium commodity, nd thus fcto, pices. Since k lies in the cone detemined by tngency beteen isocost A nd isoqunts 3 nd 2, those goods ill be poduced. b. Suppose tht thee is n influs of okes nd the cpitl/lbo tio flls to kn /N. No ht ill be poduced? Becuse kn flls in the cone detemined by the tngency beteen isocost B nd the 2 nd 1 isoqunts, those 2 goods ill no be poduced. c. Wht hppened to the ge/entl tio s the k tio fell? As k moved ithin it s oiginl cone, thee s no chnge in the / tio. Once it pssed outside the cone, the / tio flls smoothly long the 2 isoqunt (s the / tio is being detemined by MRTS in 2 poduction). Finlly, once it psses into the second cone, the / tio is fixed by the slope of the common tngent i.e. the slope of isocost 2. d. Wht hppens to the ge/entl tio s comped to (c) if the pice of good 1 doubles?
6 The doubling of the pice of good 1 ill cuse the unit vlue isoqunt to shift hlfy to the oigin. This ill cuse the equilibium / tio to ise. Note, this chnge my cuse good 2 to go out of poduction, fist being eplced by good 3, nd, if the shift is popotionlly lge enough, to speciliztion in good The Fcto-Pice Equliztion Theoem Once Agin: Conside to-county old, hee both counties hve the sme technology fo poducing clothing nd food s illustted by the folloing unit-vlue isoqunts:. Wht is the nge of fcto endoment tios tht ill yield fcto pice equliztion? Indicte this nge in the digm. Any endoment in the cone of divesifiction is consistent ith fcto-pice equliztion. b. Does this nge depend upon commodity pices? Yes. Recll tht these e unit vlue isoqunts. Thus, thei loction, nd the loction of the tngencies tht define k F nd k C e detemined by commodity pices. Thus, diffeent commodity pices ould poduce diffeent cone.
7 6. ove of Viety vesus Indiffeence to Viety: The Home nd Foeign counties ech possess the sme technology fo poducing blue nd ed schmoos. Poduction of single schmoo (blue o ed) equies 30 units of cpitl nd 30 units of lbo, hile the second schmoo equies only n dditionl 10 units of cpitl nd 10 units of lbo. The thid schmoo equies 5 units of cpitl nd 5 units of lbo ext. Ech dditionl schmoo equies only one ext unit of cpitl nd one ext unit of lbo to be poduced. If the fist schmoo is ed the othe schmoos poduced must be ed to cptue the incesing etuns to scle.. Ech county is endoed ith 60 units of cpitl nd 60 units of lbo. Suppose consumes in ech county demnd blue nd ed schmoos in equl popotions. Wht ill ech county poduce in utky? Becuse people pefe to consume ed nd blue schmoos in equl popotions, ech county ill poduce both vieties in utky. With identicl technologies, this ill involve the lloction of 30 nd 30 to ech viety. This pemits poduction of 1 ed nd 1 blue schmoo in ech county. b. If consumes e indiffeent bout the colo of schmoos, ht does ech county poduce in utky? In this cse ech county ill llocte ll fctos to the poduction of only one viety. In this cse, totl of 18 units cn be poduced (i.e give the fist thee units, this leves 15 dditionl units of nd fo totl of ). c. No suppose tht the to counties begin to tde nd tht consumes ce bout the colo of the schmoo. Wht ill ech county poduce in tde equilibium? Wht hppens to the numbe of schmoos poduced in ech county eltive to you nse to pt (b)? Wht is the numbe of fims in ech county? In this cse ech county ill specilize in diffeent viety of schmoo, poducing 18 units, nd tde. In this cse, ech county ill consume 9 ed nd 9 blue schmoos. The totl numbe poduced in ech county is the sme s in pt (b), the diffeence is tht ech county must poduce diffeent viety. Thee e gins both fom incesed efficiency (eltive to pt ) nd incesed viety in consumption (eltive to pt b). Note tht, becuse these e intenl economies of scle, thee must be 1 fim in ech county.
r (1+cos(θ)) sin(θ) C θ 2 r cos θ 2
icles xmple 66: Rounding one ssume we hve cone of ngle θ, nd we ound it off with cuve of dius, how f wy fom the cone does the ound stt? nd wht is the chod length? (1+cos(θ)) sin(θ) θ 2 cos θ 2 xmple 67:
More informationIntro to Circle Geometry By Raymond Cheong
Into to Cicle Geomety By Rymond Cheong Mny poblems involving cicles cn be solved by constucting ight tingles then using the Pythgoen Theoem. The min chllenge is identifying whee to constuct the ight tingle.
More informationSummary: Vectors. This theorem is used to find any points (or position vectors) on a given line (direction vector). Two ways RT can be applied:
Summ: Vectos ) Rtio Theoem (RT) This theoem is used to find n points (o position vectos) on given line (diection vecto). Two ws RT cn e pplied: Cse : If the point lies BETWEEN two known position vectos
More informationN V V L. R a L I. Transformer Equation Notes
Tnsfome Eqution otes This file conts moe etile eivtion of the tnsfome equtions thn the notes o the expeiment 3 wite-up. t will help you to unestn wht ssumptions wee neee while eivg the iel tnsfome equtions
More informationOrbits and Kepler s Laws
Obits nd Keple s Lws This web pge intoduces some of the bsic ides of obitl dynmics. It stts by descibing the bsic foce due to gvity, then consides the ntue nd shpe of obits. The next section consides how
More information(Ch. 22.5) 2. What is the magnitude (in pc) of a point charge whose electric field 50 cm away has a magnitude of 2V/m?
Em I Solutions PHY049 Summe 0 (Ch..5). Two smll, positively chged sphees hve combined chge of 50 μc. If ech sphee is epelled fom the othe by n electosttic foce of N when the sphees e.0 m pt, wht is the
More informationScreentrade Car Insurance Policy Summary
Sceentde C Insunce Policy Summy This is summy of the policy nd does not contin the full tems nd conditions of the cove, which cn be found in the policy booklet nd schedule. It is impotnt tht you ed the
More informationFirm Objectives. The Theory of the Firm II. Cost Minimization Mathematical Approach. First order conditions. Cost Minimization Graphical Approach
Pro. Jy Bhttchry Spring 200 The Theory o the Firm II st lecture we covered: production unctions Tody: Cost minimiztion Firm s supply under cost minimiztion Short vs. long run cost curves Firm Ojectives
More informationCurvature. (Com S 477/577 Notes) Yan-Bin Jia. Oct 8, 2015
Cuvtue Com S 477/577 Notes Yn-Bin Ji Oct 8, 205 We wnt to find mesue of how cuved cuve is. Since this cuvtue should depend only on the shpe of the cuve, it should not be chnged when the cuve is epmetized.
More informationQuestions for Review. By buying bonds This period you save s, next period you get s(1+r)
MACROECONOMICS 2006 Week 5 Semina Questions Questions fo Review 1. How do consumes save in the two-peiod model? By buying bonds This peiod you save s, next peiod you get s() 2. What is the slope of a consume
More information(1) continuity equation: 0. momentum equation: u v g (2) u x. 1 a
Comment on The effect of vible viscosity on mied convection het tnsfe long veticl moving sufce by M. Ali [Intentionl Jounl of Theml Sciences, 006, Vol. 45, pp. 60-69] Asteios Pntoktos Associte Pofesso
More informationChapter 23 Electrical Potential
hpte Electicl Potentil onceptul Polems [SSM] A poton is moved to the left in unifom electic field tht points to the ight. Is the poton moving in the diection of incesing o decesing electic potentil? Is
More informationChapter 3 Savings, Present Value and Ricardian Equivalence
Chapte 3 Savings, Pesent Value and Ricadian Equivalence Chapte Oveview In the pevious chapte we studied the decision of households to supply hous to the labo maket. This decision was a static decision,
More informationRandom Variables and Distribution Functions
Topic 7 Rndom Vibles nd Distibution Functions 7.1 Intoduction Fom the univese of possible infomtion, we sk question. To ddess this question, we might collect quntittive dt nd ognize it, fo emple, using
More informationPolynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
More informationSOEPpapers on Multidisciplinary Panel Data Research
Deutsches Institut fü Witschftsfoschung www.diw.de SOEPppes on Multidiscipliny Pnel Dt Resech 136 Thoms Conelissen John S. Heywood Uwe Jijhn S, Pefomnce Py, Risk Attitudes nd Job Stisfction Belin, Octobe
More informationEcon 4721 Money and Banking Problem Set 2 Answer Key
Econ 472 Money nd Bnking Problem Set 2 Answer Key Problem (35 points) Consider n overlpping genertions model in which consumers live for two periods. The number of people born in ech genertion grows in
More informationThe Incidence of Social Security Taxes in Economies with Partial. Compliance: Evidence from the SS Reform in Mexico
The Incidence of Social Secuity Taxes in Economies ith Patial Compliance: Evidence fom the SS Refom in Mexico Gecia M. Maufo Abstact Looking at impovements in social secuity benefits in Mexico, this pape
More informationTreatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.
The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only
More informationBinary Representation of Numbers Autar Kaw
Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse- rel number to its binry representtion,. convert binry number to n equivlent bse- number. In everydy
More informationThe LCOE is defined as the energy price ($ per unit of energy output) for which the Net Present Value of the investment is zero.
Poject Decision Metics: Levelized Cost of Enegy (LCOE) Let s etun to ou wind powe and natual gas powe plant example fom ealie in this lesson. Suppose that both powe plants wee selling electicity into the
More informationCHAPTER 10 Aggregate Demand I
CHAPTR 10 Aggegate Demand I Questions fo Review 1. The Keynesian coss tells us that fiscal policy has a multiplied effect on income. The eason is that accoding to the consumption function, highe income
More informationFigure 2. So it is very likely that the Babylonians attributed 60 units to each side of the hexagon. Its resulting perimeter would then be 360!
1. What ae angles? Last time, we looked at how the Geeks intepeted measument of lengths. Howeve, as fascinated as they wee with geomety, thee was a shape that was much moe enticing than any othe : the
More informationGraphs on Logarithmic and Semilogarithmic Paper
0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl
More information32. The Tangency Problem of Apollonius.
. The Tngeny olem of Apollonius. Constut ll iles tngent to thee given iles. This eleted polem ws posed y Apollinius of eg (. 60-70 BC), the getest mthemtiin of ntiquity fte Eulid nd Ahimedes. His mjo wok
More information2 DIODE CLIPPING and CLAMPING CIRCUITS
2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of
More informationUse Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.
Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd
More informationPersonal Saving Rate (S Households /Y) SAVING AND INVESTMENT. Federal Surplus or Deficit (-) Total Private Saving Rate (S Private /Y) 12/18/2009
1 Pesonal Saving Rate (S Households /Y) 2 SAVING AND INVESTMENT 16.0 14.0 12.0 10.0 80 8.0 6.0 4.0 2.0 0.0-2.0-4.0 1959 1961 1967 1969 1975 1977 1983 1985 1991 1993 1999 2001 2007 2009 Pivate Saving Rate
More informationIntegration. 148 Chapter 7 Integration
48 Chpter 7 Integrtion 7 Integrtion t ech, by supposing tht during ech tenth of second the object is going t constnt speed Since the object initilly hs speed, we gin suppose it mintins this speed, but
More informationCypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period:
Nme: SOLUTIONS Dte: Period: Directions: Solve ny 5 problems. You my ttempt dditionl problems for extr credit. 1. Two blocks re sliding to the right cross horizontl surfce, s the drwing shows. In Cse A
More informationGRAVITATION 1. BASIC FORCES IN NATURE
GRAVITATION. BASIC ORCES IN NATURE POINTS TO REMEMBER. Bsing on the ntue nd eltive stength the bsic foces in ntue e clssified into fou ctegoies. They e ) Gvittionl foce ) Electomgnetic foce 3) Stong Nucle
More informationMath 135 Circles and Completing the Square Examples
Mth 135 Circles nd Completing the Squre Exmples A perfect squre is number such tht = b 2 for some rel number b. Some exmples of perfect squres re 4 = 2 2, 16 = 4 2, 169 = 13 2. We wish to hve method for
More informationProblem Set # 9 Solutions
Poblem Set # 9 Solutions Chapte 12 #2 a. The invention of the new high-speed chip inceases investment demand, which shifts the cuve out. That is, at evey inteest ate, fims want to invest moe. The incease
More informationLINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES
LINEAR TRANSFORMATIONS AND THEIR REPRESENTING MATRICES DAVID WEBB CONTENTS Liner trnsformtions 2 The representing mtrix of liner trnsformtion 3 3 An ppliction: reflections in the plne 6 4 The lgebr of
More informationAn Introduction to Omega
An Intoduction to Omega Con Keating and William F. Shadwick These distibutions have the same mean and vaiance. Ae you indiffeent to thei isk-ewad chaacteistics? The Finance Development Cente 2002 1 Fom
More informationPhysics 235 Chapter 5. Chapter 5 Gravitation
Chapte 5 Gavitation In this Chapte we will eview the popeties of the gavitational foce. The gavitational foce has been discussed in geat detail in you intoductoy physics couses, and we will pimaily focus
More informationVectors 2. 1. Recap of vectors
Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms
More informationAlgebra Review. How well do you remember your algebra?
Algebr Review How well do you remember your lgebr? 1 The Order of Opertions Wht do we men when we write + 4? If we multiply we get 6 nd dding 4 gives 10. But, if we dd + 4 = 7 first, then multiply by then
More informationControlling the Money Supply: Bond Purchases in the Open Market
Money Supply By the Bank of Canada and Inteest Rate Detemination Open Opeations and Monetay Tansmission Mechanism The Cental Bank conducts monetay policy Bank of Canada is Canada's cental bank supevises
More informationGFI MilAchive 6 vs H&S Exchnge@PAM GFI Softwe www.gfi.com GFI MilAchive 6 vs H&S Exchnge@PAM GFI MilAchive 6 H&S Exchnge@PAM Who we e Genel fetues Suppots Micosoft Exchnge 2000, 2003 & 2007 Suppots distibuted
More informationExam in physics, El-grunder (Electromagnetism), 2014-03-26, kl 9.00-15.00
Umeå Univesitet, Fysik 1 Vitly Bychkov Em in physics, El-gunde (Electomgnetism, 14--6, kl 9.-15. Hjälpmedel: Students my use ny book(s. Mino notes in the books e lso llowed. Students my not use thei lectue
More informationGFI MilAchive 6 vs EMC EmilXtende Achive Edition GFI Softwe www.gfi.com GFI MilAchive 6 vs EMC EmilXtende Achive Edition GFI MilAchive 6 EMC EmilXtende Achive Edition Who we e Genel fetues Suppots Micosoft
More informationGFI MilAchive 6 vs Wtefod Technologies MilMete Achive GFI Softwe www.gfi.com GFI MilAchive 6 vs Wtefod Technologies MilMete Achive Genel fetues Suppots Micosoft Exchnge 2000, 2003 & 2007 Suppots distibuted
More informationand thus, they are similar. If k = 3 then the Jordan form of both matrices is
Homework ssignment 11 Section 7. pp. 249-25 Exercise 1. Let N 1 nd N 2 be nilpotent mtrices over the field F. Prove tht N 1 nd N 2 re similr if nd only if they hve the sme miniml polynomil. Solution: If
More informationWeek 7 - Perfect Competition and Monopoly
Week 7 - Perfect Competition nd Monopoly Our im here is to compre the industry-wide response to chnges in demnd nd costs by monopolized industry nd by perfectly competitive one. We distinguish between
More information5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one.
5.2. LINE INTEGRALS 265 5.2 Line Integrls 5.2.1 Introduction Let us quickly review the kind of integrls we hve studied so fr before we introduce new one. 1. Definite integrl. Given continuous rel-vlued
More informationPROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY
MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive
More informationDefinitions and terminology
I love the Case & Fai textbook but it is out of date with how monetay policy woks today. Please use this handout to supplement the chapte on monetay policy. The textbook assumes that the Fedeal Reseve
More informationGFI MilEssentils & GFI MilSecuity vs Tend Mico ScnMil Suite fo Micosoft Exchnge GFI Softwe www.gfi.com GFI MilEssentils & GFI MilSecuity vs Tend Mico ScnMil Suite fo Micosoft Exchnge Exchnge Seve 2000/2003
More informationLecture 3 Gaussian Probability Distribution
Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike
More informationThings to Remember. r Complete all of the sections on the Retirement Benefit Options form that apply to your request.
Retiement Benefit 1 Things to Remembe Complete all of the sections on the Retiement Benefit fom that apply to you equest. If this is an initial equest, and not a change in a cuent distibution, emembe to
More informationAdaptive Control of a Production and Maintenance System with Unknown Deterioration and Obsolescence Rates
Int J of Mthemtic Sciences nd Appictions, Vo, No 3, Septembe Copyight Mind Rede Pubictions wwwjounshubcom Adptive Conto of Poduction nd Mintennce System with Unknown Deteiotion nd Obsoescence Rtes Fwzy
More informationOpen Economies. Chapter 32. A Macroeconomic Theory of the Open Economy. Basic Assumptions of a Macroeconomic Model of an Open Economy
Chapte 32. A Macoeconomic Theoy of the Open Economy Open Economies An open economy is one that inteacts feely with othe economies aound the wold. slide 0 slide 1 Key Macoeconomic Vaiables in an Open Economy
More informationBayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom
Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the
More information9 CONTINUOUS DISTRIBUTIONS
9 CONTINUOUS DISTIBUTIONS A rndom vrible whose vlue my fll nywhere in rnge of vlues is continuous rndom vrible nd will be ssocited with some continuous distribution. Continuous distributions re to discrete
More informationMath 314, Homework Assignment 1. 1. Prove that two nonvertical lines are perpendicular if and only if the product of their slopes is 1.
Mth 4, Homework Assignment. Prove tht two nonverticl lines re perpendiculr if nd only if the product of their slopes is. Proof. Let l nd l e nonverticl lines in R of slopes m nd m, respectively. Suppose
More informationExample A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal squares from each corner and then folding
1 Exmple A rectngulr box without lid is to be mde from squre crdbord of sides 18 cm by cutting equl squres from ech corner nd then folding up the sides. 1 Exmple A rectngulr box without lid is to be mde
More informationExponential and Logarithmic Functions
Nme Chpter Eponentil nd Logrithmic Functions Section. Eponentil Functions nd Their Grphs Objective: In this lesson ou lerned how to recognize, evlute, nd grph eponentil functions. Importnt Vocbulr Define
More informationG.GMD.1 STUDENT NOTES WS #5 1 REGULAR POLYGONS
G.GMD.1 STUDENT NOTES WS #5 1 REGULAR POLYGONS Regul polygon e of inteet to u becue we begin looking t the volume of hexgonl pim o Tethedl nd to do thee type of clcultion we need to be ble to olve fit
More informationSPECIAL PRODUCTS AND FACTORIZATION
MODULE - Specil Products nd Fctoriztion 4 SPECIAL PRODUCTS AND FACTORIZATION In n erlier lesson you hve lernt multipliction of lgebric epressions, prticulrly polynomils. In the study of lgebr, we come
More informationYIELD TO MATURITY ACCRUED INTEREST QUOTED PRICE INVOICE PRICE
YIELD TO MATURITY ACCRUED INTEREST QUOTED PRICE INVOICE PRICE Septembe 1999 Quoted Rate Teasuy Bills [Called Banke's Discount Rate] d = [ P 1 - P 1 P 0 ] * 360 [ N ] d = Bankes discount yield P 1 = face
More informationEquity compensation plans New Income Statement impact on guidance Earnings Per Share Questions and answers
Investos/Analysts Confeence: Accounting Wokshop Agenda Equity compensation plans New Income Statement impact on guidance Eanings Pe Shae Questions and answes IAC03 / a / 1 1 Equity compensation plans The
More informationChapter 22 The Electric Field II: Continuous Charge Distributions
Chpte The lectic Field II: Continuous Chge Distibutions Conceptul Poblems [SSM] Figue -7 shows n L-shped object tht hs sides which e equl in length. Positive chge is distibuted unifomly long the length
More informationGFI EventsMnge vs Netikus.net EventSenty GFI Softwe www.gfi.com GFI EventsMnge vs Netikus.net EventSenty GFI EventsMnge EventSenty Who we e Suppot fo MS SQL Seve Suppot fo MSDE / MS SQL Expess Suppot fo
More informationLecture 16: Color and Intensity. and he made him a coat of many colours. Genesis 37:3
Lectue 16: Colo and Intensity and he made him a coat of many colous. Genesis 37:3 1. Intoduction To display a pictue using Compute Gaphics, we need to compute the colo and intensity of the light at each
More informationMATH 150 HOMEWORK 4 SOLUTIONS
MATH 150 HOMEWORK 4 SOLUTIONS Section 1.8 Show tht the product of two of the numbers 65 1000 8 2001 + 3 177, 79 1212 9 2399 + 2 2001, nd 24 4493 5 8192 + 7 1777 is nonnegtive. Is your proof constructive
More informationHow Much Should a Firm Borrow. Effect of tax shields. Capital Structure Theory. Capital Structure & Corporate Taxes
How Much Should a Fim Boow Chapte 19 Capital Stuctue & Copoate Taxes Financial Risk - Risk to shaeholdes esulting fom the use of debt. Financial Leveage - Incease in the vaiability of shaeholde etuns that
More informationOperations with Polynomials
38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply
More information3 The Utility Maximization Problem
3 The Utility Mxiiztion Proble We hve now discussed how to describe preferences in ters of utility functions nd how to forulte siple budget sets. The rtionl choice ssuption, tht consuers pick the best
More information4a 4ab b 4 2 4 2 5 5 16 40 25. 5.6 10 6 (count number of places from first non-zero digit to
. Simplify: 0 4 ( 8) 0 64 ( 8) 0 ( 8) = (Ode of opeations fom left to ight: Paenthesis, Exponents, Multiplication, Division, Addition Subtaction). Simplify: (a 4) + (a ) (a+) = a 4 + a 0 a = a 7. Evaluate
More informationDo Vibrations Make Sound?
Do Vibations Make Sound? Gade 1: Sound Pobe Aligned with National Standads oveview Students will lean about sound and vibations. This activity will allow students to see and hea how vibations do in fact
More informationpayments Excess demand (Expenditure>output) r > r Excess demand (Expenditure>output) r > r Excess supply (Expenditure<output) Excess supply
Chpte Review Questions. The IS-- model defines six egions, eh oesponding to disequiliium in the money mket, goods mket nd/o the lne of pyments. Identify nd desie eh of these when pitl is pefetly moile,
More informationAppendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered:
Appendi D: Completing the Squre nd the Qudrtic Formul Fctoring qudrtic epressions such s: + 6 + 8 ws one of the topics introduced in Appendi C. Fctoring qudrtic epressions is useful skill tht cn help you
More informationContinuous Compounding and Annualization
Continuous Compounding and Annualization Philip A. Viton Januay 11, 2006 Contents 1 Intoduction 1 2 Continuous Compounding 2 3 Pesent Value with Continuous Compounding 4 4 Annualization 5 5 A Special Poblem
More informationGFI MilEssentils & GFI MilSecuity vs Bcud Spm Fiewll GFI Softwe www.gfi.com GFIMilEssentils & GFI MilSecuity vs Bcud Spm Fiewll GFI MilEssentils 12 & GFI MilSecuity 10 Bcud Spm Fiewll Who we e Integtes
More informationBasic Analysis of Autarky and Free Trade Models
Bsic Anlysis of Autrky nd Free Trde Models AUTARKY Autrky condition in prticulr commodity mrket refers to sitution in which country does not engge in ny trde in tht commodity with other countries. Consequently
More informationRotating DC Motors Part II
Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors
More informationHighest Pefomnce Lowest Pice PRODUCT COMPARISON GFI MilAchive vs Symntec Entepise Vult GFI Softwe www.gfi.com GFI MilAchive vs Symntec Entepise Vult GFI MilAchive 6 Symntec Entepise Vult Who we e Genel
More informationPhysics 43 Homework Set 9 Chapter 40 Key
Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x
More informationAREA OF A SURFACE OF REVOLUTION
AREA OF A SURFACE OF REVOLUTION h cut r πr h A surfce of revolution is formed when curve is rotted bout line. Such surfce is the lterl boundr of solid of revolution of the tpe discussed in Sections 7.
More informationExample 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.
2 Rtionl Numbers Integers such s 5 were importnt when solving the eqution x+5 = 0. In similr wy, frctions re importnt for solving equtions like 2x = 1. Wht bout equtions like 2x + 1 = 0? Equtions of this
More informationSmall Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology
More informationAAPT UNITED STATES PHYSICS TEAM AIP 2010
2010 F = m Exm 1 AAPT UNITED STATES PHYSICS TEAM AIP 2010 Enti non multiplicnd sunt preter necessittem 2010 F = m Contest 25 QUESTIONS - 75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD
More informationWeek 3-4: Permutations and Combinations
Week 3-4: Pemutations and Combinations Febuay 24, 2016 1 Two Counting Pinciples Addition Pinciple Let S 1, S 2,, S m be disjoint subsets of a finite set S If S S 1 S 2 S m, then S S 1 + S 2 + + S m Multiplication
More informationModule 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur
Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives
More informationSymmetric polynomials and partitions Eugene Mukhin
Symmetic polynomials and patitions Eugene Mukhin. Symmetic polynomials.. Definition. We will conside polynomials in n vaiables x,..., x n and use the shotcut p(x) instead of p(x,..., x n ). A pemutation
More informationFI3300 Corporate Finance
Leaning Objectives FI00 Copoate Finance Sping Semeste 2010 D. Isabel Tkatch Assistant Pofesso of Finance Calculate the PV and FV in multi-peiod multi-cf time-value-of-money poblems: Geneal case Pepetuity
More informationChapter 19: Electric Charges, Forces, and Fields ( ) ( 6 )( 6
Chapte 9 lectic Chages, Foces, an Fiels 6 9. One in a million (0 ) ogen molecules in a containe has lost an electon. We assume that the lost electons have been emove fom the gas altogethe. Fin the numbe
More informationLinear Equations in Two Variables
Liner Equtions in Two Vribles In this chpter, we ll use the geometry of lines to help us solve equtions. Liner equtions in two vribles If, b, ndr re rel numbers (nd if nd b re not both equl to 0) then
More informationDlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report
DlNBVRGH + + THE CITY OF EDINBURGH COUNCIL Sickness Absence Monitoring Report Executive of the Council 8fh My 4 I.I...3 Purpose of report This report quntifies the mount of working time lost s result of
More informationby K.-H. Rutsch*, P.J. Viljoen*, and H. Steyn* The need for systematic project portfolio selection
An investigtion into the cuent pctice of poject potfolio selection in esech nd development division of the South Aficn minels nd enegy industy by K.-H. Rutsch*, P.J. Viljoen*, nd H. Steyn* J o u n l Synopsis
More information2005-06 Second Term MAT2060B 1. Supplementary Notes 3 Interchange of Differentiation and Integration
Source: http://www.mth.cuhk.edu.hk/~mt26/mt26b/notes/notes3.pdf 25-6 Second Term MAT26B 1 Supplementry Notes 3 Interchnge of Differentition nd Integrtion The theme of this course is bout vrious limiting
More informationCoordinate Systems L. M. Kalnins, March 2009
Coodinate Sstems L. M. Kalnins, Mach 2009 Pupose of a Coodinate Sstem The pupose of a coodinate sstem is to uniquel detemine the position of an object o data point in space. B space we ma liteall mean
More informationAnswer, Key Homework 6 David McIntyre 45123 Mar 25, 2004 1
Answe, Key Homewok 6 vid McInye 4513 M 5, 004 1 This pin-ou should hve 0 quesions. Muliple-choice quesions my coninue on he nex column o pge find ll choices befoe mking you selecion. The due ime is Cenl
More informationSection 7-4 Translation of Axes
62 7 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY Section 7-4 Trnsltion of Aes Trnsltion of Aes Stndrd Equtions of Trnslted Conics Grphing Equtions of the Form A 2 C 2 D E F 0 Finding Equtions of Conics In the
More informationLecture 5. Inner Product
Lecture 5 Inner Product Let us strt with the following problem. Given point P R nd line L R, how cn we find the point on the line closest to P? Answer: Drw line segment from P meeting the line in right
More informationThe Role of Gravity in Orbital Motion
! The Role of Gavity in Obital Motion Pat of: Inquiy Science with Datmouth Developed by: Chistophe Caoll, Depatment of Physics & Astonomy, Datmouth College Adapted fom: How Gavity Affects Obits (Ohio State
More informationPROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1
PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.
More informationSmall Business Networking
Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology
More information2.016 Hydrodynamics Prof. A.H. Techet
.016 Hydodynmics Reding #5.016 Hydodynmics Po. A.H. Techet Fluid Foces on Bodies 1. Stedy Flow In ode to design oshoe stuctues, suce vessels nd undewte vehicles, n undestnding o the bsic luid oces cting
More information