# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

7 Pages

### prelim1_ProblemSet

Course: ORIE 3300, Fall 2008
School: Cornell
Rating:

Word Count: 528

#### Document Preview

320/520 Thursday ORIE October 5 2006 PRELIM 1 7:309:00pm Fall 2006 90 minutes Name: NetID: Recitation section (underline one): Monday 10:10 (Tim) Tuesday 12:20 (Arijit/Tim) Friday 10:10 (Tim) Monday 4:30 (Arijit) Wednesday 12:20 (Chandra) Friday 12:20 (Chandra) Instructions 1. Print your name and NetID above. 2. Underline your Recitation section above. 3. You may use a basic scientic calculator. No other aids...

Register Now

#### Unformatted Document Excerpt

Coursehero >> New York >> Cornell >> ORIE 3300

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Cornell - ORIE - 3300
1IntroductionAn example To illustrate the idea of linear programming, we begin with an example. Consider the simple distribution problem illustrated below.Imagine we want to transport a total of ten pianos, from their current locations at three
Cornell - ORIE - 3300
2Linear programsIn this section, we discuss the ingredients of linear programs more carefully. As an example for our discussion, here is a simple linear program: maximize x1 + x2 subject to x1 2 (2.1) x1 + 2x2 4 x1 , x2 0. Any linear pr
Cornell - ORIE - 3300
3Linear algebra and basic solutionsTo study linear programs, we make crucial use of some basic ideas from linear algebra. Before proceeding further, we quickly review some of these ideas. As usual, we use Rn to denote the vector space of column v
Cornell - ORIE - 3300
4Basic feasible solutionsTo summarize the main idea from the last section, a basis for an m-by-n matrix A is a list of numbers chosen from {1, 2, , . . . , n} such that the matrix AB with columns indexed by this list is invertible. The correspond
Cornell - ORIE - 3300
5The tableauSolving simple linear programs graphically suggests the importance of extreme points of the feasible region. In the last section, we related the geometric idea of an extreme point to the algebraic idea of a basic feasible solution. Ou
Cornell - ORIE - 3300
6The simplex methodWe next formalize the method we developed in the previous section. We again consider a general linear program in standard equality form: maximize cT x subject to Ax = b x 0. As before, we introduce a new variable z to keep tra
Cornell - ORIE - 3300
7Finding an initial feasible tableauTo begin the simplex method for solving a linear program in standard equality form, we need to find an initial feasible tableau. Sometimes, this is easy. For example, the first linear program we studied was the
Cornell - ORIE - 3300
8Phase 1 of the simplex methodLet us summarize the method we sketched in the previous section, for finding a feasible basis for the constraint system n aij xj = bi (i = 1, 2, . . . , m) (8.1) j=1 xj 0 (j = 1, 2, . . . , n). We can assume ea
Cornell - ORIE - 3300
9DegeneracyIn Section 5, we introduced the idea of a &quot;degenerate&quot; tableau, by which we mean at least one of the numbers i on the right-hand side of the body of the b tableau is zero. Thus a tableau and the corresponding basis are degenerate when
Cornell - ORIE - 3300
10CyclingIn Section 9, we considered the worrying possibility that the simplex method might fail to terminate because of cycling: a sequence of pivots that lead us back to an earlier tableau. In this case, unless our rules for choosing the enteri
Cornell - ORIE - 3300
11Transportation and assignment problemsIn this section we study two classical and very useful linear programming models: the &quot;transportation problem&quot; and a special case, the &quot;assignment problem.&quot; Incidentally, we shall see an important class of
Cornell - ORIE - 3300
12TerminationIn order for the simplex method to be a reliable algorithm, we must be sure that, starting from a feasible tableau, it terminates after a finite number of iterations. In this section we shall see that the smallest subscript rule ensu
Cornell - ORIE - 3300
13Fundamental theoremsNow that we have made the simplex method a reliable finite algorithm, we can use it to deduce some striking properties of general linear programming problems. We start by asking when a linear programming problem in standard
Cornell - ORIE - 3300
14The revised simplex methodmaximize cT x = z subject to Ax = b x 0,Consider once again the standard equality-form linear programCorresponding to any basis B is a unique tableau. Theorem 12.2 gave a formula for that tableau, which we can rewr
Cornell - ORIE - 3300
15Multicommodity transportationLinear programs in practice are often very large. Typically these massive models arise from interfacing smaller models. In this section we describe a typical example. For more, look at Chapter 4 in the AMPL book [1]
Cornell - ORIE - 3300
16DualityWe have now seen in some detail how we can use the simplex method to solve linear programs, and how, at termination, the simplex method provides a proof of optimality. This proof, as we have seen, consists of a tableau equivalent to the
Cornell - ORIE - 3300
17Duality for general linear programsIn the previous section, we introduced the powerful idea of a &quot;certificate of optimality&quot; for a feasible solution x of a linear program in standard equality form. A certificate of optimality is simply a feasib
Cornell - ORIE - 3300
19Complementary slacknessOver the last few sections we have seen how we can use duality to verify the optimality of a feasible solution for a linear program. If we are able to find a feasible solution for the dual problem with dual objective valu
Cornell - ORIE - 3300
20Solving integer programming problemsWe now have a systematic understanding of how to solve linear programming problems. However, we have so far developed no ideas about how to solve the kinds of integer programming problems that we encountered
Cornell - GOVT - 3665
1. The Race of Life a. Puri tanism &amp; Work i. Bettering Ones Condition and the Race of Life 1. A fundamental belief that anyone can better his condition through hard work has caused generations of Americans to strive for p rosperity 2. Adam Smith a. The pr
Cornell - GOVT - 3665
Notes: Fitzhugh:Whatiswrongwiththefreemarket Whenwelooktothevegetable,animal,orhumankingdomswediscoverinthemallaconstant conflict,awar,orraceofcompetition,theresultofwhichis,thattheweakerorlesshealthy genera,speaciesandinvididucalsarecontinuallydisplaceda
Cornell - GOVT - 3665
Notes: Fitzhugh : What is wrong with the free market When we look to the vegetable, animal, or human kingdoms we discover in them all a constant conflict, a war, or race of competition, the result of which is, that the weaker or less healthy genera, speac
Cornell - GOVT - 3665
Unlike all the other thinkers we have encountered in this course, Fitzhugh, a southern apologist for slavery, and Brownson, a northern socialist, argue that liberal society and the free market are fundamentally flawed. Write an essay comparing their criti
Cornell - GOVT - 3665
[Type text]George Fitzhugh was a prominent southern slavery advocate and anti-capitalist. Within his most renowned works Sociology for the South and Cannibals All!, he argues that the free market society of the north is an abject failure, as evidenced by
Cornell - GOVT - 3665
Federalist Articles Direct/Indirect Democracy DIRECT DEMOCRACY - Common man is taking power - Verges on anarchy - Tyranny of people - Hard for people to assemble - Redistributive nature of laws of legislature Madisons attitude to government: Federalist #1
Cornell - GOVT - 3665
16/02/200914:49:00 SocialDarwinism WilliamGrahamSumnerpopularizedHerbertSencerswritingsin America o Statesorsocietyhasnoresponsibilityorchancesforeconomic acquisition o Putsmoralvalueonindividualselfishness o Everyoneisisolated,responsibleonlytohimself;i
Cornell - GOVT - 3665
Government366FINALREVIEWCourseThemes I. Americasloveaffairwithindividualliberalism Ruggedindividualism:deterministicandindividualisticviewthatmen makethemselves II. Problematicattitudetowardgovernment Negativeandantistatist III. Ambivalenceabouthumanrig
Cornell - GOVT - 3665
Super lThe Lockean Tradition &amp; The Puritan Soul and American Ideals - Mark The &gt; Revolution Founding - Emily &gt; The Constitution and It's Critics - Joelle &gt; Visions of American Future - Alana &gt; Jacksonianism: Democracy and Opportunity - Adrienne &gt; Slavery,
Cornell - GOVT - 3665
Cornell - GOVT - 3665
16/02/200914:48:00 I.IntellectualsontheLeft HenryDemarestLoyd(18471903) o WealthAgainstCommonwealth o RepudiatedideasofsocialDarwinism,competitiveindividualism,self interest o FollowsFitzhughcriticofselfinterest o Mostcolorfulrhetoric o Manifestoagainstm
Cornell - GOVT - 3665
American political thought peoples ideas of those involved within politics, as opposed to those who are involved with the literature and analysis of politics. We can confront those texts without someone else having already commented on them. American Poli
Cornell - GOVT - 3665
Government366FINALREVIEWCourseThemes I. Americasloveaffairwithindividualliberalism Ruggedindividualism:deterministicandindividualisticviewthatmen makethemselves II. Problematicattitudetowardgovernment Negativeandantistatist III. Ambivalenceabouthumanrig
Cornell - GOVT - 3665
Gov3665Lecture ThePopulistsandPopulism 11/6/0816/02/200914:48:00I.TheHistoricalContext Americanlifeaftercivilwaruntilgildedagewasdominatedbybusinessmen Presidentswerevirtualnonentities Runbysenatorswhoweremillionaires,controlledpoliticaldecisions Repub
Cornell - GOVT - 3665
Cornell - GOVT - 3665
11/11/08 Take Home Prelim II American Political Thought: From Madison to Malcolm Question #5Brownson and Fitzhugh: A Cry Against Capitalism and Support of FeudalismThrough the belief in Darwins theory of survival of the fittest, Brownson and Fitzhugh se
Cornell - GOVT - 3665
Jeffersonianism II. Jefferson as Lockean Liberal III. The Agrarian Ideal IV. Jefferson as radical egalitarian democrat V. Jefferson and States Rights VI. Enlightenment Jefferson VII. Racist Jefferson I. Jefferson something to everyone Foundation of so muc
Cornell - GOVT - 3665
16/02/200914:47:00 SlaveryandAbolotionism I.SlaveryandtheAmericanRevolution II.SlaveryandtheConstitution III.SlaveryandWomensRights IV.Abolitionism V.WilliamLloyedGarrisonandNonViolence VI.Violence(?)DavidWalker SamuelJohnsonridiculedthehypocrisyofAmeric
Cornell - GOVT - 3665
Jeffersonianism II. Jefferson as Lockean Liberal III. The Agrarian Ideal IV. Jefferson as radical egalitarian democrat V. Jefferson and States Rights VI. Enlightenment Jefferson VII. Racist Jefferson I. Jefferson something to everyone Foundation of so muc
Cornell - GOVT - 3665
16/02/200914:47:00 SlaveryandAbolotionism I.SlaveryandtheAmericanRevolution II.SlaveryandtheConstitution III.SlaveryandWomensRights IV.Abolitionism V.WilliamLloyedGarrisonandNonViolence VI.Violence(?)DavidWalker SamuelJohnsonridiculedthehypocrisyofAmeric
Cornell - GOVT - 3665
GovLecture10/23 16/02/200914:46:00SlaveryDefended I.Theargumentfromscripture Early1830scrucialturningpointinhistoryofslavery.Priortomany southernerswerealmostembarrassedbytheinstitution.Theysawitasevil, evenastheperpetuatedtheinstitution.Manyassumeditw
Cornell - GOVT - 3665
Lincoln and Slavery: I. Mythic Lincoln 2 basic components: Democratic Myth: stands as rep of common man. Emerges as quintessential American common man. In many ways in late 19th century what Franklin was in early 19th century. Embodies ideal of self-made
Cornell - GOVT - 3665
16/02/200914:46:00 Progressivism I.TheProgressiveMind/Mood Thesuccessormovementtothepopulists 19001920 Succeededinsuccessionofgreatreformmovementsinresponsetogreat reformmovementsandnewdeal Progressivesneversetupnationalorganization/movementtodirector co
Cornell - GOVT - 3665
16/02/200914:46:00 GOV3665 ProgressivismII I.T.Rooseveltconcluded TheNewNationalism,theWorldandMasculinity o Pg.1083 o Pg.1094 o Notjustbusinessdrivingnewnationalism,butotherintereststoo o Thereshouldbesomeonelookingoutforthenationalinterest o Crollyinsi
Cornell - GOVT - 3665
Cornell - GOVT - 3665
govlecture11/25 I.FDRandtheDepression TheNewDeal16/02/200914:46:00Bornin1982towealthandprestigeinhydepark AristocraticDutchpatronfamily EducatedatGrotonprepschoolandwentotHarvard WaseditorofHarvardandthatshowhebecamereferredtoasFDR ThenwenttoColumbiala
Cornell - GOVT - 3665
16/02/200914:46:00 PoliticalThoughtofthe60sStudentsandWomen: I.The50sBackground Timeofcomplacency,conservatism,coldwar PopularpresidentEisenhower Economicboom,greatAmericanMaterialismandConsumerism Suburbsbuiltwithfederalfundsforhighways,mortgages Coldwa
Cornell - GOVT - 3665
16/02/200914:46:00 BlackPoliticalThoughtinthe20thCentury I.SeparatismandIntegrationism II.BookerT.WashingtonandWEBDubois III.MarcusGarvey:theNAACPFDR,thecommunistparty IV.WhytheCivilRightsRevolutioninthe1950sand60s? V.BayardRustinandStokelyCarMichael Two
Cornell - GOVT - 3665
Role of People in American Political Society Tom Paine, Common Sense pg 131-151 a. Radical egalitarianism b. Against monarchy c. Lampoons idea of hereditary principle d. Nobility no ability e. Anti status, anti government f. State, government serves inter
Cornell - GOVT - 3665
Gov 3665 American Political Thought Take Home Prelim 1 10/7/08The People and their Role in the American DemocracyThe various appellations of the people assigned by Tom Paine, James Madison, Alexander Hamilton and the US Constitution do not all refer to
Cornell - GOVT - 3665
Tom Paines notion of the people refers to the equal Americans who come together to form the law, which holds a generally optimistic, egalitarian viewpoint. Tom Paine sees mankind as being created equal. He does not believe that a human being is born with
Cornell - GOVT - 3665
16/02/200914:45:00 PopulismwasaresponsetoSocialDarwinism Populism: Stateintervention Againstimperialism Willofpeoplerepresented o Notaconcentrationofoneinterestthatpresidentcomestorepresent o Eliminationofelectoralcollege Partyofreform Trytounitefarmersa
Cornell - GOVT - 3665
Cornell - GOVT - 3665
16/02/200914:45:00 Govsection11/4/08 HowissocialDarwinismsimilartoLockeanLiberalismandhowisitdifferent?Bothassertindividuality InasystemofsocialDarwinismandinLockeanLiberalism,thegovernment playsasmallrole. Sumnerpg.715Wewerenotborntonaturalrights. Pg.7
Cornell - GOVT - 3665
16/02/200914:45:00 NewDeal:Governmentcontrol Tryingtostabilizeeconomyduringdepression Tryingtosavecapitalismandliberalism Tugwell o Theoreticianofplanning o Ageofplanningoppositeofageofspeculation o Paradoxofbusiness:conflicttoproduceorder o Speculationl
Cornell - GOVT - 3665
GOVT 3665 8/28/08 I. Introduction II. Course organization 20% + 20%: Two take home Prelims 40%: Final Exam: Friday 19th afternoon (Last Final of the Semester) syllabus: guide for reading + lecture topics 3 books: Anthology (Primary Source) American Politi
Cornell - GOVT - 3665
Lockean Individualism: Government exists to protect rights not to make any moral judgements Consensual Government Secular government: Separation of church and state Puritan Political Thought: John Winthrop: Duel nature of laws: -Civil Law: -Law of Grace:
Cornell - GOVT - 3665
1765 stamp act taxation without representation 4 years of revolutionary war york town=turning point french help us kill the brits 1776: Articles of confederation 1787: Constitution 1791: bill of rights 1789-1797 George Washington 1797-1801 John Adams TJ (
Cornell - GOVT - 3665
Lockean Ideal of Property: Mix yourself with land or objects by working Some ppl have more because they work harder -Possessive individualism Property is an expression of self: the more you have the more ability you have to express yourself -think: libera
Cornell - GOVT - 3665
The American Revolution and the Democratization of America Paradox of the american revolution: Democratization of america Carl beker: The Revolutionary War was 2 things: -War of independence: Separation from Britain -The american revolution: Who will rule
Cornell - GOVT - 3665
Tamed and Limited Democracy: The political theory of the Constitution Alexander Hamilton and James Madison at a meeting of five state called a meeting of the 13 colonies. Constitutional Convention: Met in secret from may until september 17th No notes were
Cornell - GOVT - 3665
Thomas Pain: Lockean: Government is at best a necessary evil Government is separate from civil society Protection of security and peace is the end of government Government is Produced by the wickedness of man. -People have moral defects and government is