Project Recovery. . It Can Be Done

Size: px
Start display at page:

Download "Project Recovery. . It Can Be Done"

Transcription

1 Project Recovery. It Cn Be Done IPM Conference Wshington, D.C. Nov 4-7, 200 Wlt Lipke Oklhom City Air Logistics Center Tinker AFB, OK

2 Overview Mngement Reserve Project Sttus Indictors Performnce Correction Correction Exmple Project Recovery Recovery Exmple Summry

3 Mngement Reserve Totl Funding Avilble Funding Reserve Plnned Project Cost Budget t Completion Cost BCWS Plnned Project Completion Schedule Reserve Negotited Completion Dte Time

4 Cost nd Schedule Anlysis EAC Cost Overrun Cost BAC Schedule Vrince BCWS ACWP BCWP Cost Vrince Schedule Slippge Plnned Completion ECD Time Now

5 Mngement Questions Cn the project be completed within the Totl Funding Avilble nd by the Negotited Completion Dte? When nd Where should MR be pplied?

6 Performnce Anlysis Negotited Cost Plnned Time

7 Mngement Indictors Desirble Chrcteristics Similr ppernce for both cost & schedule Simple visul nlysis - R / Y / G Simple or no project tiloring needed Simple clcultions Useful!!

8 Performnce Indictors Cost Dimension Where, Cost Rtio= Schedule Dimension Cost Rtio vs CPI - CPI = BCWP / ACWP ( > is Good) Where, Schedule Rtio= Totl Funding Avilble BAC Schedule Rtio vs SPI - Negotited Period of Performnce Plnned Period of Performnce SPI = BCWP / BCWS ( > is Good) (Dollrs) Work ( ) Dys

9 Indictors Comprison Conceptully Identicl Indices < Rtios, Project is in Good Shpe Indices =.0, Perfect Execution Single Difference Cost Rtio cn Vry Schedule Rtio is Fixed

10 Cost vs Schedule Rtio Performnce of Extrs Decreses vilble funding Adds risk to meeting project pln nd customer commitment Without reimbursement, or negotited chnges Totl Funding Avilble (nd thus, CR) decreses Period of Performnce (nd, SR) is unchnged

11 Simple Anlysis CPI - & SPI - x < [Project cn be completed s plnned] CPI - & SPI - < x < Rtio [Project Mnger nd Employees get to keep their jobs] CPI - & SPI - x > Rtio [A bd sitution for those involved]

12 - Cost Rtio vs CPI Rtio CR CPI - Green Yellow Red Jn Feb M r A pr M y Jun Time

13 - Schedule Rtio vs SPI -.3 Rtio SR SPI - Green Yellow Red Jn Feb Mr Apr My Jun Time

14 Mngement Use If Green, Wht, me worry? If not Green, Wht cn I do? () Adjust Overtime or Number of Employees (2) Relign Employees (increse efficiency) (3) Reduce Performnce Requirements (4) Obtin Additionl Funding /o Schedule () & (2) Project Mnger s Prerogtive (3) & (4) Unplesnt nd Dmging

15 Mnger Strtegies CR vs CPI - SR vs SPI - Action Green Green Rewrd Employees Green Yellow Increse OT Green Red Increse OT or People Yellow Green Decrese OT Yellow Yellow Review & Adjust Assignments Yellow Red Adjust Assignments; Consider Negotition (Schedule) Red Green Decrese OT or People Red Yellow Adjust Assignments; Consider Negotition (Funding) Red Red Negotition (Funding/Schedule/Rqmts); Fire Mnger

16 Adjusting Overtime & Employees Schedule Recovery (Reserve Funding is used) E SR = (SPI - / TCSI - ) E, where E = Effective level of stffing OT SR = (SPI - / TCSI - ) ( + OT A ) - where TCSI = [.0 (BCWP/BAC)] / [.0 (BCWS/BAC)] Cost Recovery (Schedule Reserve is used) E CR = (TCPI - / CPI - ) E OT CR = (TCPI - / CPI - ) ( + OT A ) - where TCPI = [.0 (BCWP/BAC)] / [.0 (ACWP/BAC)] Bnd the Recovery Strtegy Substitute CR, or SR (s pproprite) for.0 in denomintor of To Complete equtions

17 WARNING Risk of Over-Correction - Tmpering Yellow or Red erly in project Investigte nd Anlyze Wit for next review to ct

18 Re-Cp Mngement Questions Simple Visul Aids Mngement Tools Tble Clcultions

19 Performnce Correction Exmple Dt: BCWS/BAC = 0.6 CR =. E = 20 BCWP/BAC = 0.5 SR =. OT = 7% ACWP/BAC = 0.45 (cum vlues) Clculte:. CPI - & SPI Compre result to plnned performnce (.0) nd CR & SR. Color Code Project Sttus. 3. Use Tble - Recommend Mgmt Action. 4. Clculte TCSI (or TCPI) s pproprite. 5. Clculte E nd OT required for correction. 6. Are E nd OT vlues resonble? 7. Bnd the recovery. Reclculte TCSI (or TCPI) using, s pproprite, SR or CR. 8. Reclculte E nd OT. 9. Recommend recovery strtegy.

20 Performnce Correction Exmple Dt: BCWS/BAC = 0.6 CR =. E = 20 BCWP/BAC = 0.5 SR =. OT = 7% ACWP/BAC = 0.45 (cum vlues) CPI - = = 0.9 SPI - = = CPI - = (0.9) <.0 < CR (.) SPI - = (.2) > SR (.) >.0 Green Red 3. CR vs CPI - Green SR vs SPI - Red Increse OT or People

21 Performnce Correction Exmple 4. TCSI = ( BCWP/BAC) / ( BCWS/BAC) = ( - 0.5) / ( - 0.6) =.5 /.40 TCSI = E SR = (SPI - / TCSI - ) E = [.2 / (/.25)] 20 E SR = 30 OT SR = (SPI - / TCSI - ) ( + OT) - = (.2 / (/.25)) ( +.07) - = OT SR = 60.5% 6. OT is unresonble. Stffing must increse.

22 Performnce Correction Exmple 7. TCSI = ( BCWP/BAC) / (SR BCWS/BAC) = ( - 0.5) / ( ) =.5 /.5 TCSI =.0 8. E SR = (SPI - / TCSI - ) E = (.2 / (/.0)) 20 E SR = 24 OT SR = (SPI - / TCSI - ) ( + OT) - = (.2 / (/.0)) (. 07) - = OT SR = 28.4% 9. Add 5 people to project

23 Project Recovery The Bsics Improve SPI or CPI Sched Recovery Add People/Increse OT Cost Recovery Decrese People (Which Ones?) Recovery is not Free Sched Recovery increses Cost Cost Recovery lengthens Schedule BAC will (very likely) be Exceeded

24 Project Recovery (con t( con t) Recovery Strtegy must chieve Gols - Meet or Better Customer Requirements (Price & Compl Dt CR & SR) Is Recovery Strtegy Achievble? (Is sufficient MR vilble?)

25 Project Recovery (con t) The chnge in recovering, cost performnce, for exmple, induces proportionl negtive chnge in the schedule performnce (nd vice vers) (CPI r CPI ) c s where denotes chnge (c = cost, s = schedule) Thus, (SPI r SPI where r = recovery vlue, = current vlue )

26 Project Recovery (con t( con t) The bsolute vlue of the rtio of the chnges is, t best, identicl to the rtio of the current performnce indices Thus, for the best cse (including the negtive sign) Or, s c / c /CPI = (SPI + s /CPI /SPI = ) 0

27 Project Recovery (con t( con t) Any chnge induces inefficiency The lrger the chnge, the greter the inefficiency Sometimes, there is good reson to do nothing Accounting for inefficiency, the performnce reltionship becomes: c /CPI + s/spi > or = The chnge strtegy is prepred using the equlity, understnding tht the solution is best cse 0

28 Project Recovery (con t( con t) Recovery Strtegy Determintion Determine chnge to poor indictor to chieve index =.0 nd = Rtio Clculte the chnge induced in the corresponding indictor (SPI, if CPI is poor) for ech condition (.0 nd Rtio) Identify impossible strtegies (Induced indictor exceeds it s Rtio limit) Select recovery vlue on Recovery Line

29 Project Recovery (con t( con t) Test Recovery Line selection, using pproprite formul Cost Performnce Recovery = SPI + ( CPI SPI SPI r -.0 ) ln CPI CPI.0 CPI r.0 Schedule Performnce Recovery CPI r = CPI + ( SPI -.0 ) ln CPI SPI SPI.0 SPI r.0 Iterte Recovery Line selections until strtegy stisfctory

30 Project Recovery (con t( con t) Clculte TCPI nd TCSI (s pproprite) using selected recovery vlue (CPI s - or SPI s - ) TCPI = (-BCWP/BAC) / (CPI s - ACWP/BAC) TCSI = (-BCWP/BAC) / (SPI s - BCWS/BAC) Adjust between E & OT to finlize strtegy

31 Project Recovery Exmple Dt: CR =.2 SR =.3 ACWP/BAC = 0.5 BCWP/BAC = 0.4 BCWS/BAC = 0.45 CPI - =.25 Red SPI - =.25 Yellow Clculte SPI - vlues corresponding to CPI - Recovery Points CPI r - = CR CPI r - =.0

32 Project Recovery Exmple Project Recovery Exmple (con t con t) Exceeds SR.350 SPI.0) ( SPI.2) ( : ) CPI (CPI CPI SPI SPI SPI SPI 0 for /SPI /CPI Solve: r r r r r r r s c = + = = + = + = = + Points define Strtegy Line

33 Project Recovery Exmple.4 Dt : CR =.2, SR =.3 CPI Eqution: ACWP/BAC = 0.5, BCWP/BAC = 0.4, ā =.25, SPI CPI c ā + SPI ā s - =.25 = 0 BCWS/BAC = 0.45 CPI Actul (.25,.25)!! (.7,.2) Strtegy (.22,.4) x.0 (.35,.0)! SPI -

34 Project Recovery Exmple Test the Strtegy Selected => Cost Recovery SPI r CPI SPI = SPI =.250 =.25 + (CPI =.25 + (.250.0) SPI.0) CPI CPI SPI s s =.4 =.22 CPI ln CPI.250 ln.40 r SPI r = Performnce Strtegy is vible

35 Project Recovery Exmple Project Dt: BCWS/BAC = 0.45 BCWP/BAC = 0.4 ACWP/BAC = 0.5 Cost Recvry Strtegy: CPI s - =.4, SPI s - =.256 Present Stffing: 20 Present Overtime: 7% Initil E & OT Clcultions TCPI Er = (-BCWP/BAC) / (CPI - s - ACWP/BAC) = (-0.4) / (.4-0.5) = = [(TCPI s - ) / (CPI - )] x E = (.067 /.25) (20) = 7% OT

36 Project Recovery Exmple (con t) Or, OT r = [(TCPI - s ) / (CPI - )] (+OT ) - = (.067 /.25) ( +.07) - = = 20 people = impossible Clculte OT r for E r = 7 nd 8 people OT r (7) = (7. / 7) (.07) - = = 7.6% OT r (8) = (7. / 8) (.07) - =.07 - =.7% Select the Strtegy

37 Summry Mngement Reserve Performnce Rtios SPI - & CPI - vs Performnce Rtios Indictors Anlysis Action Action Personnel/Overtime Adjustment Recovery Concepts SPI - /CPI - Reltionship Reltionship Vible Recovery

Since 1985, the Test Program Set (TPS) development

Since 1985, the Test Program Set (TPS) development Applying Management Reserve to Software Project Management Walter H. Lipke Oklahoma City Air Logistics Center, Directorate of Aircraft Maintenance, Software Division Today s standard of practice for managing

More information

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur

Module 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 information

Treatment 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.

Treatment 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 information

Reasoning to Solve Equations and Inequalities

Reasoning to Solve Equations and Inequalities Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing

More information

Example 27.1 Draw a Venn diagram to show the relationship between counting numbers, whole numbers, integers, and rational numbers.

Example 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 information

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999

Economics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999 Economics Letters 65 (1999) 9 15 Estimting dynmic pnel dt models: guide for q mcroeconomists b, * Ruth A. Judson, Ann L. Owen Federl Reserve Bord of Governors, 0th & C Sts., N.W. Wshington, D.C. 0551,

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

Rate and Activation Energy of the Iodination of Acetone

Rate and Activation Energy of the Iodination of Acetone nd Activtion Energ of the Iodintion of Acetone rl N. eer Dte of Eperiment: //00 Florence F. Ls (prtner) Abstrct: The rte, rte lw nd ctivtion energ of the iodintion of cetone re detered b observing the

More information

Exponential and Logarithmic Functions

Exponential 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 information

Advanced Baseline and Release Management. Ed Taekema

Advanced Baseline and Release Management. Ed Taekema Advnced Bseline nd Relese Mngement Ed Tekem Introduction to Bselines Telelogic Synergy uses bselines to perform number of criticl configurtion mngement tsks. They record the stte of the evolving softwre

More information

Graphs on Logarithmic and Semilogarithmic Paper

Graphs 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 information

COMPONENTS: COMBINED LOADING

COMPONENTS: COMBINED LOADING LECTURE COMPONENTS: COMBINED LOADING Third Edition A. J. Clrk School of Engineering Deprtment of Civil nd Environmentl Engineering 24 Chpter 8.4 by Dr. Ibrhim A. Asskkf SPRING 2003 ENES 220 Mechnics of

More information

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand

** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand Modelling nd Simultion of hemicl Processes in Multi Pulse TP Experiment P. Phnwdee* S.O. Shekhtmn +. Jrungmnorom** J.T. Gleves ++ * Dpt. hemicl Engineering, Ksetsrt University, Bngkok 10900, Thilnd + Dpt.hemicl

More information

1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator

1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator AP Clculus Finl Review Sheet When you see the words. This is wht you think of doing. Find the zeros Find roots. Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor.

More information

Binary Representation of Numbers Autar Kaw

Binary 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 information

Econ 4721 Money and Banking Problem Set 2 Answer Key

Econ 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 information

JaERM Software-as-a-Solution Package

JaERM Software-as-a-Solution Package JERM Softwre-s--Solution Pckge Enterprise Risk Mngement ( ERM ) Public listed compnies nd orgnistions providing finncil services re required by Monetry Authority of Singpore ( MAS ) nd/or Singpore Stock

More information

Basic Analysis of Autarky and Free Trade Models

Basic 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 information

Enterprise Risk Management Software Buyer s Guide

Enterprise Risk Management Software Buyer s Guide Enterprise Risk Mngement Softwre Buyer s Guide 1. Wht is Enterprise Risk Mngement? 2. Gols of n ERM Progrm 3. Why Implement ERM 4. Steps to Implementing Successful ERM Progrm 5. Key Performnce Indictors

More information

DlNBVRGH + Sickness Absence Monitoring Report. Executive of the Council. Purpose of report

DlNBVRGH + 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 information

COINS EVA Earned Value Analysis

COINS EVA Earned Value Analysis COINS EVA Earned Value Analysis Nigel Cope July 2006 Earned Value Analysis The most widely used method for performance measurement of projects Combines scope, cost and schedule patterns Informs project

More information

Uplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu

Uplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu Uplift Cpcity of K-Series Open Web Steel Joist Sets Perry S. Green, Ph.D, M.ASCE 1 nd Thoms Sputo, Ph.D., P.E., M.ASCE 2 1 Assistnt Professor, Deprtment of Civil nd Costl Engineering, University of Florid,

More information

CPM -100: Principles of Project Management

CPM -100: Principles of Project Management CPM -100: Principles of Project Management Lesson B: Time and Cost Management Presented by Bruce R. Shaw, P.E., PMP starshaw@starpower.net Ph: 703-922-2772 Presented at the PMI-CPM 2002 Fall Conference

More information

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100 hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by

More information

c. Values in statements are broken down by fiscal years; many projects are

c. Values in statements are broken down by fiscal years; many projects are Lecture 18: Finncil Mngement (Continued)/Csh Flow CEE 498 Construction Project Mngement L Schedules A. Schedule.of Contrcts Completed See Attchment # 1 ll. 1. Revenues Erned 2. Cost of Revenues 3. Gross

More information

EE247 Lecture 4. For simplicity, will start with all pole ladder type filters. Convert to integrator based form- example shown

EE247 Lecture 4. For simplicity, will start with all pole ladder type filters. Convert to integrator based form- example shown EE247 Lecture 4 Ldder type filters For simplicity, will strt with ll pole ldder type filters Convert to integrtor bsed form exmple shown Then will ttend to high order ldder type filters incorporting zeros

More information

PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1

PROBLEMS 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 information

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.

Use 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 information

National greenhouse gas inventory data for the period 1990 2010

National greenhouse gas inventory data for the period 1990 2010 United Ntions FCCC/SBI/2012/31 Distr.: Generl 16 November 2012 Originl: English Subsidiry Body for Implementtion Thirty-seventh session Doh, 26 November to 1 December 2012 Item 3(b) of the provisionl gend

More information

Techniques for Requirements Gathering and Definition. Kristian Persson Principal Product Specialist

Techniques for Requirements Gathering and Definition. Kristian Persson Principal Product Specialist Techniques for Requirements Gthering nd Definition Kristin Persson Principl Product Specilist Requirements Lifecycle Mngement Elicit nd define business/user requirements Vlidte requirements Anlyze requirements

More information

ClearPeaks Customer Care Guide. Business as Usual (BaU) Services Peace of mind for your BI Investment

ClearPeaks Customer Care Guide. Business as Usual (BaU) Services Peace of mind for your BI Investment ClerPeks Customer Cre Guide Business s Usul (BU) Services Pece of mind for your BI Investment ClerPeks Customer Cre Business s Usul Services Tble of Contents 1. Overview...3 Benefits of Choosing ClerPeks

More information

FUNDING OF GROUP LIFE INSURANCE

FUNDING OF GROUP LIFE INSURANCE TRANSACTIONS OF SOCIETY OF ACTUARIES 1955 VOL. 7 NO. 18 FUNDING OF GROUP LIFE INSURANCE CHARLES L. TROWBRIDGE INTRODUCTION T RADITIONALLY the group life insurnce benefit hs been finnced on yerly renewble

More information

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Polynomial 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 information

AREA OF A SURFACE OF REVOLUTION

AREA 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 information

ORBITAL MANEUVERS USING LOW-THRUST

ORBITAL MANEUVERS USING LOW-THRUST Proceedings of the 8th WSEAS Interntionl Conference on SIGNAL PROCESSING, ROBOICS nd AUOMAION ORBIAL MANEUVERS USING LOW-HRUS VIVIAN MARINS GOMES, ANONIO F. B. A. PRADO, HÉLIO KOII KUGA Ntionl Institute

More information

Firm Objectives. The Theory of the Firm II. Cost Minimization Mathematical Approach. First order conditions. Cost Minimization Graphical Approach

Firm 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 information

www.mathsbox.org.uk e.g. f(x) = x domain x 0 (cannot find the square root of negative values)

www.mathsbox.org.uk e.g. f(x) = x domain x 0 (cannot find the square root of negative values) www.mthsbo.org.uk CORE SUMMARY NOTES Functions A function is rule which genertes ectl ONE OUTPUT for EVERY INPUT. To be defined full the function hs RULE tells ou how to clculte the output from the input

More information

GAO IRS AUDIT RATES. Rate for Individual Taxpayers Has Declined But Effect on Compliance Is Unknown

GAO IRS AUDIT RATES. Rate for Individual Taxpayers Has Declined But Effect on Compliance Is Unknown GAO United Sttes Generl Accounting Office Report to the Chirmn, Subcommittee on Oversight, Committee on Wys nd Mens, House of Representtives April 2001 IRS AUDIT RATES Rte for Individul Txpyers Hs Declined

More information

Application Bundles & Data Plans

Application Bundles & Data Plans Appliction Appliction Bundles & Dt Plns We ve got plns for you. Trnsporttion compnies tody ren t one-size-fits-ll. Your fleet s budget, size nd opertions re unique. To meet the needs of your fleet nd help

More information

Unit 29: Inference for Two-Way Tables

Unit 29: Inference for Two-Way Tables Unit 29: Inference for Two-Wy Tbles Prerequisites Unit 13, Two-Wy Tbles is prerequisite for this unit. In ddition, students need some bckground in significnce tests, which ws introduced in Unit 25. Additionl

More information

4. DC MOTORS. Understand the basic principles of operation of a DC motor. Understand the operation and basic characteristics of simple DC motors.

4. DC MOTORS. Understand the basic principles of operation of a DC motor. Understand the operation and basic characteristics of simple DC motors. 4. DC MOTORS Almost every mechnicl movement tht we see round us is ccomplished by n electric motor. Electric mchines re mens o converting energy. Motors tke electricl energy nd produce mechnicl energy.

More information

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00 COMP20212 Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE Digitl Design Techniques Dte: Fridy 16 th My 2008 Time: 14:00 16:00 Plese nswer ny THREE Questions from the FOUR questions provided

More information

Example 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

Example 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 information

Project 6 Aircraft static stability and control

Project 6 Aircraft static stability and control Project 6 Aircrft sttic stbility nd control The min objective of the project No. 6 is to compute the chrcteristics of the ircrft sttic stbility nd control chrcteristics in the pitch nd roll chnnel. The

More information

15.6. The mean value and the root-mean-square value of a function. Introduction. Prerequisites. Learning Outcomes. Learning Style

15.6. The mean value and the root-mean-square value of a function. Introduction. Prerequisites. Learning Outcomes. Learning Style The men vlue nd the root-men-squre vlue of function 5.6 Introduction Currents nd voltges often vry with time nd engineers my wish to know the verge vlue of such current or voltge over some prticulr time

More information

9 CONTINUOUS DISTRIBUTIONS

9 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 information

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING

TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING Sung Joon Kim*, Dong-Chul Che Kore Aerospce Reserch Institute, 45 Eoeun-Dong, Youseong-Gu, Dejeon, 35-333, Kore Phone : 82-42-86-231 FAX

More information

Appendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered:

Appendix 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 information

Assessing authentically in the Graduate Diploma of Education

Assessing authentically in the Graduate Diploma of Education Assessing uthenticlly in the Grdute Diplom of Eduction Dr Mree DinnThompson Dr Ruth Hickey Dr Michelle Lsen WIL Seminr JCU Nov 12 2009 Key ides plnning process tht embeds uthentic ssessment, workintegrted

More information

Cypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period:

Cypress 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 information

All pay auctions with certain and uncertain prizes a comment

All pay auctions with certain and uncertain prizes a comment CENTER FOR RESEARC IN ECONOMICS AND MANAGEMENT CREAM Publiction No. 1-2015 All py uctions with certin nd uncertin prizes comment Christin Riis All py uctions with certin nd uncertin prizes comment Christin

More information

Health insurance marketplace What to expect in 2014

Health insurance marketplace What to expect in 2014 Helth insurnce mrketplce Wht to expect in 2014 33096VAEENBVA 06/13 The bsics of the mrketplce As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum

More information

Design Example 1 Special Moment Frame

Design Example 1 Special Moment Frame Design Exmple 1 pecil Moment Frme OVERVIEW tructurl steel specil moment frmes (MF) re typiclly comprised of wide-flnge bems, columns, nd bem-column connections. Connections re proportioned nd detiled to

More information

2015 EDITION. AVMA Report on Veterinary Compensation

2015 EDITION. AVMA Report on Veterinary Compensation 2015 EDITION AVMA Report on Veterinry Compenstion AVMA Report on Veterinry Compenstion 2015 EDITION Copyright 2015 by the All rights reserved. ISBN-13: 978-1-882691-31-9 AVMA Report on Veterinry Compenstion

More information

Health insurance exchanges What to expect in 2014

Health insurance exchanges What to expect in 2014 Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount

More information

Study on enzyme-assisted aqueous extraction of oil from soybean

Study on enzyme-assisted aqueous extraction of oil from soybean 8 Journl Scientific & Industril Reserch J SCI IND RES VOL 69 NOVEMBER 2010 Vol. 69, November 2010, pp. 8-865 Study on enzyme-ssisted queous extrction oil from soyben Jun-Qing Qin*, De-Hui Qin, Xing-Mo

More information

Space Vector Pulse Width Modulation Based Induction Motor with V/F Control

Space Vector Pulse Width Modulation Based Induction Motor with V/F Control Interntionl Journl of Science nd Reserch (IJSR) Spce Vector Pulse Width Modultion Bsed Induction Motor with V/F Control Vikrmrjn Jmbulingm Electricl nd Electronics Engineering, VIT University, Indi Abstrct:

More information

Vectors 2. 1. Recap of vectors

Vectors 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 information

Long Term Financial Planning

Long Term Financial Planning Long Term Finncil Plnning Overview of New Pltform City of Knss City, Missouri 2013 2018 Long term finncil plnning combines finncil forecsting with finncil strtegizing to identify future chllenges nd opportunities

More information

Review Problems for the Final of Math 121, Fall 2014

Review Problems for the Final of Math 121, Fall 2014 Review Problems for the Finl of Mth, Fll The following is collection of vrious types of smple problems covering sections.,.5, nd.7 6.6 of the text which constitute only prt of the common Mth Finl. Since

More information

How To Find Out How A Worker'S Work Ethic Is Related To The Ability To Get A Job

How To Find Out How A Worker'S Work Ethic Is Related To The Ability To Get A Job RtSWD Reserch Notes Reserch Note No. 11 Previously relesed s RtSWD Working Pper No. 15 Popultion Aging nd Trends in the Provision of Continued Eduction Regin T. Riphhn, Prvti Trübswetter 2007 Reserch Notes

More information

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS PHY 222 Lb 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS Nme: Prtners: INTRODUCTION Before coming to lb, plese red this pcket nd do the prelb on pge 13 of this hndout. From previous experiments,

More information

D T IC. 052 Research Laboratory D A 0 05

D T IC. 052 Research Laboratory D A 0 05 I JI Iw I1m I@ US Army Corps of Engineers Construction Engineering,s o,,ad-a205 :,Lo 052 Reserch Lbortory D A 0 05 USA-CERL TECHNICAL REPORT P-89/09 December 1988 Dt Envelopment Anlysis s Tool To Evlute

More information

EQUATIONS OF LINES AND PLANES

EQUATIONS OF LINES AND PLANES EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint

More information

Contract Cash Flow & Performance Analysis. PERCEPTION Helping The Shipyard Stay On Budget

Contract Cash Flow & Performance Analysis. PERCEPTION Helping The Shipyard Stay On Budget Contract Cash Flow & Performance Analysis PERCEPTION Helping The Shipyard Stay On Budget 1 Shipyards that know their true costs are more likely to be profitable and are in a better position to challenge

More information

Estimating Exchange Rate Exposures:

Estimating Exchange Rate Exposures: Estimting Exchnge Rte Exposures: Issues in Model Structure * Gordon M. Bodnr ** Pul H. Nitze School of Advnced Interntionl Studies, The Johns Hopkins University 1740 Msschusetts Avenue NW Wshington, DC

More information

PROJECTS SCHEDULING AND COST CONTROLS

PROJECTS SCHEDULING AND COST CONTROLS Professional Development Day September 27th, 2014 PROJECTS SCHEDULING AND COST CONTROLS Why do we need to Control Time and Cost? Plans are nothing; Planning is everything. Dwight D. Eisenhower Back to

More information

Source Code verification Using Logiscope and CodeReducer. Christophe Peron Principal Consultant Kalimetrix

Source Code verification Using Logiscope and CodeReducer. Christophe Peron Principal Consultant Kalimetrix Source Code verifiction Using Logiscope nd CodeReducer Christophe Peron Principl Consultnt Klimetrix Agend Introducing Logiscope: Improving confidence nd developer s productivity Bsed on stte-of-the-rt

More information

Performance analysis model for big data applications in cloud computing

Performance analysis model for big data applications in cloud computing Butist Villlpndo et l. Journl of Cloud Computing: Advnces, Systems nd Applictions 2014, 3:19 RESEARCH Performnce nlysis model for big dt pplictions in cloud computing Luis Edurdo Butist Villlpndo 1,2,

More information

L10: Budgeting and Cost Control. Olivier de Weck

L10: Budgeting and Cost Control. Olivier de Weck ESD.36 System Project Management + L10: Budgeting and Cost Control Instructor(s) Olivier de Weck Lecture 10 Oct. 11, 2012 System Project Management ESD.36 Framework Project Preparation Enterprise has chosen

More information

Corporate Compliance vs. Enterprise-Wide Risk Management

Corporate Compliance vs. Enterprise-Wide Risk Management Corporte Complince vs. Enterprise-Wide Risk Mngement Brent Sunders, Prtner (973) 236-4682 November 2002 Agend Corporte Complince Progrms? Wht is Enterprise-Wide Risk Mngement? Key Differences Why Will

More information

Math 135 Circles and Completing the Square Examples

Math 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 information

MA 15800 Lesson 16 Notes Summer 2016 Properties of Logarithms. Remember: A logarithm is an exponent! It behaves like an exponent!

MA 15800 Lesson 16 Notes Summer 2016 Properties of Logarithms. Remember: A logarithm is an exponent! It behaves like an exponent! MA 5800 Lesson 6 otes Summer 06 Rememer: A logrithm is n eponent! It ehves like n eponent! In the lst lesson, we discussed four properties of logrithms. ) log 0 ) log ) log log 4) This lesson covers more

More information

The To Complete Performance Index

The To Complete Performance Index The To Complete Performance Index transforming project performance Walt Lipke 1.1 PMI - Oklahoma City Chapter 1.0 +1 405 364 1594 waltlipke@cox.net www.earnedschedule.com Index 1.3 1.2 TCPI vs CPI TCPI

More information

Guide to Reading Your Morgan Stanley Smith Barney Statement

Guide to Reading Your Morgan Stanley Smith Barney Statement Guide to Reding Your Morgn Stnley Smith Brney Sttement Your Morgn Stnley Smith Brney ( MSSB ) ccount sttement is vluble nd, powerful resource tht provides you with the informtion you need to prtner with

More information

THERMAL EXPANSION OF TUNGSTEN

THERMAL EXPANSION OF TUNGSTEN . THERMAL EXPANSION OF TUNGSTEN S515 By Peter Hidnert nd W. T. Sweeney ABSTRACT This pper gives the results of n investigtion on the therml expnsion of tungsten (99.98 per cent) over vrious temperture

More information

STATE OF MONTANA Developomental Disabilities Program Comprehensive Evaluation Hi-Line Home Programs, Inc Adult Services

STATE OF MONTANA Developomental Disabilities Program Comprehensive Evaluation Hi-Line Home Programs, Inc Adult Services Dtes of Review: FY '09 Evluttor(s): S. Crpenter DESK REVIEW: Accredittion: Acredittion is no longer required by the stte contrct. Significnt Events from the Agency: Developomentl Disbilities Progrm Comprehensive

More information

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process

An Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process An Undergrdute Curriculum Evlution with the Anlytic Hierrchy Process Les Frir Jessic O. Mtson Jck E. Mtson Deprtment of Industril Engineering P.O. Box 870288 University of Albm Tuscloos, AL. 35487 Abstrct

More information

I I I I I I I I I 1 I I I 1 I I. Regional Economic Multipliers. A Consumer s Guide to. Cletus C. Coughlin and Thomas B. Mandelbaum

I I I I I I I I I 1 I I I 1 I I. Regional Economic Multipliers. A Consumer s Guide to. Cletus C. Coughlin and Thomas B. Mandelbaum 1 19 1 1 Cletus C. Coughlin nd Thoms B. Mndelbum Cletus C. Coughlin is reserch officer nd Thoms B. Mndelbum is n economist t the Federl Reserve Bnk of St Louis. Thoms A. Pollmnn provided reserch ssistnce.

More information

Week 7 - Perfect Competition and Monopoly

Week 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 information

Small Business Cloud Services

Small Business Cloud Services Smll Business Cloud Services Summry. We re thick in the midst of historic se-chnge in computing. Like the emergence of personl computers, grphicl user interfces, nd mobile devices, the cloud is lredy profoundly

More information

Value Function Approximation using Multiple Aggregation for Multiattribute Resource Management

Value Function Approximation using Multiple Aggregation for Multiattribute Resource Management Journl of Mchine Lerning Reserch 9 (2008) 2079-2 Submitted 8/08; Published 0/08 Vlue Function Approximtion using Multiple Aggregtion for Multittribute Resource Mngement Abrhm George Wrren B. Powell Deprtment

More information

July 22, 2009. The Honorable Henry A. Waxman Chairman Committee on Energy and Commerce House of Representatives

July 22, 2009. The Honorable Henry A. Waxman Chairman Committee on Energy and Commerce House of Representatives United Sttes Government Accountbility Office Wshington, DC 20548 July 22, 2009 The Honorble Henry A. Wxmn Chirmn Committee on Energy nd Commerce House of Representtives The Honorble John D. Dingell Chirmn

More information

Learner-oriented distance education supporting service system model and applied research

Learner-oriented distance education supporting service system model and applied research SHS Web of Conferences 24, 02001 (2016) DOI: 10.1051/ shsconf/20162402001 C Owned by the uthors, published by EDP Sciences, 2016 Lerner-oriented distnce eduction supporting service system model nd pplied

More information

Applications to Physics and Engineering

Applications to Physics and Engineering Section 7.5 Applictions to Physics nd Engineering Applictions to Physics nd Engineering Work The term work is used in everydy lnguge to men the totl mount of effort required to perform tsk. In physics

More information

Section 7-4 Translation of Axes

Section 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 information

5.2. 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. 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 information

Section 5-4 Trigonometric Functions

Section 5-4 Trigonometric Functions 5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form

More information

700 Analysis and Reporting

700 Analysis and Reporting Jefferson Science Associates, LLC 700 Analysis and Reporting Project Control System Manual Revision 7-50 - 700 Analysis and Reporting This chapter of the JSA Project Control System Manual explains how

More information

2006 IPCC Software for National Greenhouse Gas Inventories: Application and use for India

2006 IPCC Software for National Greenhouse Gas Inventories: Application and use for India 2006 IPCC Softwre for Ntionl Greenhouse Gs Inventories: Appliction nd use for Indi Presenttion for NGGIP Side Event Bonn, June 8, 2013 Prof. Amit Grg (mitgrg@iimhd.ernet.in), INDIA GHG Inventory Softwre

More information

RIGHT TRIANGLES AND THE PYTHAGOREAN TRIPLETS

RIGHT TRIANGLES AND THE PYTHAGOREAN TRIPLETS RIGHT TRIANGLES AND THE PYTHAGOREAN TRIPLETS Known for over 500 yers is the fct tht the sum of the squres of the legs of right tringle equls the squre of the hypotenuse. Tht is +b c. A simple proof is

More information

Earned Value Management Tutorial Module 8: Reporting. Prepared by:

Earned Value Management Tutorial Module 8: Reporting. Prepared by: Earned Value Management Tutorial Module 8: Reporting Prepared by: Module 8: Government Required Reports Welcome to Module 8. The objective of this module is to introduce you to Government required reports.

More information

SPECIAL PRODUCTS AND FACTORIZATION

SPECIAL 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 information

Week 11 - Inductance

Week 11 - Inductance Week - Inductnce November 6, 202 Exercise.: Discussion Questions ) A trnsformer consists bsiclly of two coils in close proximity but not in electricl contct. A current in one coil mgneticlly induces n

More information

Version 001 Summer Review #03 tubman (IBII20142015) 1

Version 001 Summer Review #03 tubman (IBII20142015) 1 Version 001 Summer Reiew #03 tubmn (IBII20142015) 1 This print-out should he 35 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Concept 20 P03

More information

NOTES. Cohasset Associates, Inc. 2015 Managing Electronic Records Conference 8.1

NOTES. Cohasset Associates, Inc. 2015 Managing Electronic Records Conference 8.1 Cohsset Assocites, Inc. Expnding Your Skill Set: How to Apply the Right Serch Methods to Your Big Dt Problems Juli L. Brickell H5 Generl Counsel MER Conference My 18, 2015 H5 POWERING YOUR DISCOVERY GLOBALLY

More information

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques

Performance Monitoring Fundamentals: Demystifying Performance Assessment Techniques Performnce Monitoring Fundmentls: Demystifying Performnce Assessment Techniques Roert C. Rice, PhD Rchelle R. Jyringi Dougls J. Cooper, PhD Control Sttion, Inc. Deprtment of Chemicl Engineering Control

More information

and thus, they are similar. If k = 3 then the Jordan form of both matrices is

and 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 information

GAO HIGHER EDUCATION. Improved Tax Information Could Help Families Pay for College. Report to the Committee on Finance, U.S.

GAO HIGHER EDUCATION. Improved Tax Information Could Help Families Pay for College. Report to the Committee on Finance, U.S. GAO United Sttes Government Accountbility Office Report to the Committee on Finnce, U.S. Sente My 2012 HIGHER EDUCATION Improved Tx Informtion Could Help Fmilies Py for College GAO-12-560 My 2012 HIGHER

More information

WEB DELAY ANALYSIS AND REDUCTION BY USING LOAD BALANCING OF A DNS-BASED WEB SERVER CLUSTER

WEB DELAY ANALYSIS AND REDUCTION BY USING LOAD BALANCING OF A DNS-BASED WEB SERVER CLUSTER Interntionl Journl of Computers nd Applictions, Vol. 9, No., 007 WEB DELAY ANALYSIS AND REDUCTION BY USING LOAD BALANCING OF A DNS-BASED WEB SERVER CLUSTER Y.W. Bi nd Y.C. Wu Abstrct Bsed on our survey

More information