ͫ L)[,P##]ȫ(7UTnHZ:\private\AAE.374\PS.2008\autarchy.prgMainWorkSpacec:\gauss9.0\startup(Z:\private\AAE.374\PS.2008\autarchy.prgc:\gauss9.0\src\pgraph.srcc:\gauss9.0\src\pgraph.ext%Z:\private\AAE.374\PS.2008\PPFRONT.g&Z:\private\AAE.374\PS.2008\WORLDOUT.g&Z:\private\AAE.374\PS.2008\AUTAROUT.g$Z:\private\AAE.374\PS.2008\WORLDP.gc:\gauss9.0\src\wait.srcc:\gauss9.0\src\pscale.srcc:\gauss9.0\src\pxy.srcc:\gauss9.0\src\pgraph.decc:\gauss9.0\src\peps.srcc:\gauss9.0\src\peps.extc:\gauss9.0\src\pcart.srcc:\gauss9.0\src\paxnum.srcc:\gauss9.0\src\peps.decc:\gauss9.0\src\pwindow.srcc:\gauss9.0\src\datatran.srcc:\gauss9.0\src\base10.src_cmnfilth_decreas#_fontsiz _linfiltX _pagedim _pageshf_pagesiz_pappend_parrow8_parrow3`_pascx_pascy_paxes_paxht_paxmarx(_paxnum_pbartyph_pbarwid@_pboxP_pbox3d_pboxctl_pboxlim_pcartx_pcarty_pcartz#_pcmdlin_pcolor_pcropx_pcross_pcsel@_pcvfile_pcwin_pdate_perrbarh_pfeq$_pfirstw_pfonts_pframe_pgrid _phard8_pinbegwind_plctrl_plegctl0 _plegstrX _plev_pline_pline3d0_plotshfX_plotsiz0_plsel_pltype_plwidth _pmarginH_pmcolorp_pmjr_pmnr_pmsgctl_pmsgstr`_pmtic_pncwin_pnotify_pnum_pnumht_popt#_poptic_pqg_eps_BoundingBox _pqg_eps_RotateH!_pqg_eps_Scale _pqg_eps_Translate !_pqg_ps_MinLineWidth"_pqg_ps_Monochrome!_pqg_ps_Orientation`"_pqg_ps_RGBColors"_pqg_ps_Rotate!_pqg_ps_Scalep!_pqg_ps_Translate!_pqg_ps_WhiteBecomes8"_pqg_ver _pqgeditx_pqgplay`_pqgtype_prngerr(#_protate8_prtfile_pscreen_psilent_pssel(_pstypeP_psurfX_psym _psym3d_psymsizx_ptek _pticout_ptitle_ptitlht_pview_pvolume_pvwr_pvwrcomm_pvwrflags _pvwrfmtp_pvwrmodeH_pwindmx_pwindno_pworld_pwrscal _pxfmt_pxlabel_pxmem_pxpmax_pxscale_pxsci0_pyfmt(_pylabelP_pypmax@_pyscaleh_pysciX_pzclr_pzfmtp_pzlabel_pzoom_pzpmax _pzscaleH_pzsci_range#_setpage _txtfilt0 adnw( adsw ALPHAanpAna`AnwpasAsaxasclabelAswAUTAROUTPaxaxmarginbase10@$begwindh$BETAbx0code%dummy &dummybr%dummydn%endwind$finHfontsGAMgetwindP#gngraphinitgraphprt(graphset(gsInaintna intnw intsa intsw Inw IsaIswHKanaKasakeyin Kmna(Kmsa@Knaw KnbarKnbar_aKnmw8 Ksaw` KsbarKsbar_aKsmw LanaLasaLmnaLmsaLnbar@loadwind%Lsbarhmakewind$marginmdnwP mdsw missexx#mnMnaMnwmsMsaMswnextwind0%nomx plnaH plnwp plsa@ plswh PnhPPFRONTpqgwinPsPwrecodeH&rerunPrnXrssavewindX%scale scale3dsetvwrmodePsetwind%snXssstartstep substutep&THETAxtitle tkf2eps"tkf2psxtkf2ps_margin"UnUsview8viewxyz`volumewait window$wnWORLDOUT8WORLDP ws0xlabel xticsxy ylabel yticszlabelztics@s= hQ(P}  @Xxr  hHq " X `8  ~#@xxp (Ppp`hH pxxh P ` p h X h   @  x  X `  X  x(H  h6 9X:h<$X$x" +MT 7=gpؓ+`TqXy  p   ȫx\\0  d(y nl(P`H(xp8  0ȏ \`p <H2OL@` e$ " Wh58(eJ(# P*oL*8IPb'Hp.@ !bl(M   P manyM   xx( (     @ h??0X??X??Mb@? {Gz?H p H@h08M q&`(Px0@M&q(x@Px0hM(q*hxxlx`xj+xxlxxxj,xjk-`hjk0l`jx10lxjx4X`jjx5xjjx8Xl`jxlXljxj9lxjxlljxj< Hp 8 `   hx@h0X8M<q ? xlHj@ xHjxA( xl jBP x jxDF Welcome to Problem Set 1. In order to personalize this a bit, would you please tell me your name (no, this information will not be recorded nor sold to any mailing lists): < Please enter your name >  Jx V   L Ok, x  L, its show time. This first question is designed to explore the notion that countries with different resource endowments (of capital and labor in this simple model) have a basis for trade. The first part of this problem will ask you to select a country (North or South) and then will show you a graphical representation of the different combinations of the two goods (computers and bananas) which the country can produce given the real constraints of technology and available resources. A grid will be overlaid on the graphof the country's physical production possibilities so that you can--without too much difficulty--read off from the graph the different output combinations which the country can produce. As you stare at the graph and wonder why you are doing this, please pick a level of computer production for your country's economy (say 2 computers) and see how much of the agricultural good the economy must sacrifice when it transfers resources to produce 4 MORE computers. Please record the information on the problem set sheet, and then answer the same question when you look at several other levels of computer output (say 8 or 14 units). Ok--are you ready to move on? Just press any key to continue (and don't worry you will be asked if you would like to go back through this again). < Press any key to continue>    b Mb   hi *Which region would you like to see first?     j  North (n)     k  South (s)     ll Vn s m$opp n m$q4rrs Please try typing n or s again   tu YHere comes the Production Possibilites for the South ... < Press any key to continue. >    M    333333)@ jk ףp= ?L6@jk@  jlh  jl (M     ComputersM    BananasM    &Production Possibility Frontier (PPF)M   0 t@@@@X  South's PPF Autarchy Price t@? C:student.tkf M    ]Hi again and welcome back. I hope that your eyesight was not too severely strained by the prior graph. We will come back in a minute to the numbers you dutifully pulled off the production possibility frontier graph. First, however, lets go ahead and look at what the competitive market equilibrium looks like for the South when it autarchically eschews economic relationships with the rest of the world. For your later reference and ponderation, please write down basic information on the autarchy equilibrium in the table provided on the problem set handout. Once you do that, you will be given a chance to explore the Southern economy again, or to move on and look at the economy in the North. <>    M     SOUTH'S AUTARCHY EQUILIBRIUM:        PRODUCTION:      BANANAS x     COMPUTERS        CONSUMPTION:      BANANAS x     COMPUTERS        PRICES:    $ BANANAS 1.0      COMPUTERS      LABOR 0     CAPITAL        INCOME AND UTILITY:     TOTAL NATIONAL INCOME      PER-CAPITA INCOME kx     CONSUMER UTILITY        < press any key to continue >    M    1Would you like to examine South's results again?       Yes (y)       No (n)      V y m$P n m You can either:       Look at the North region (n)       Exit the program (x)      V n m$p x m$h Please try typing n or x again    Please try typing y or n again   X(M    YHere comes the Production Possibilites for the North ... < Press any key to continue. >    M    -@h(\0@jk R9@@jkH  hjlp  jl (M     ComputersM    BananasM    &Production Possibility Frontier (PPF)M   0 t@@@@X  Norths's PPF Autarchy Price t@? C:student.tkf pM    ]Hi again and welcome back. I hope that your eyesight was not too severely strained by the prior graph. We will come back in a minute to the numbers you dutifully pulled off the production possibility frontier graph. First, however, lets go ahead and look at what the competitive market equilibrium looks like for the North when it autarchically eschews economic relationships with the rest of the world. For your later reference and ponderation, please write down basic information on the autarchy equilibrium in the table provided on the problem set handout. Once you do that, you will be given a chance to explore the Northern economy again, or to move on and look at the economy in the South. <>     M       NORTH'S AUTARCHY EQUILIBRIUM:         PRODUCTION:       BANANAS `     COMPUTERS        CONSUMPTION:      BANANAS `     COMPUTERS        PRICES:    $ BANANAS 1.0      COMPUTERS h     LABOR      CAPITAL X       INCOME AND UTILITY:     TOTAL NATIONAL INCOME      PER-CAPITA INCOME kx     CONSUMER UTILITY        < press any key to continue >    M    < press any key to continue >    " 1Would you like to examine North's results again?     #  Yes (y)     $  No (n)     %% V' y m$($)P) n m*+ You can either:     ,  Look at the South region (s)     -  Exit the program (x)     .. V0 s m$122 x m$3$445 Please try typing s or x again   67889 Please try typing y or n again   :X;>> Well, x  6, hopefully you enjoyed your first trip into our model, but still autarchic, economies. Not to worry, liberalization is just around the corner! Please don't forget to answer with paper and pencil, or wordprocessor, the rest of question 1 as presented on the answer sheet. Those questions are desgined to bring out the meaning of the information you have gathered so far and dutifully entered on your charts. Ciao for now!   HJ t333333)@4@?@$@?RQ@mr?@?@$@?Hz+@ ףp= 3@?@$@?M 333333)@jkN mr?@RQ@jkO@  jlPh  jlR C:student.tkfT h @ MT   U pMU   XQ    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz%:]y%@Pdx9v    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz @Bz$c    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz "   " `by    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz!#6Iatbp    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwza !"    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz!Lv-g"F!  f' "}  &'()*+,/;<=>?[]^`{|}~y`, 0Error - Illegal character found in string _ptek-.240 i},50 0 670 80 }\90 t@@:;;0 X<0 0 => X X @<AB0BCDGiHHIDIJ/KNiHOPDPQ/RUPiPVP\WPtXHXYPPZ[D[\PP/]_N`Nframepaxespnumgpcpath Hl|{00NNdatansmresx TabcyPd _FONTS must be column vectorefgihitSIMPLEXSIMGRMAMICROBCOMPLEXjtЬ@@@4@kUlLm Invalid font name specifiednoplNqNfntnamsfntsizefontnummemind Lz }L LINE matrix invalidPi@|8i8L08 yd *Wrong number of columns in _parrow matrix8{i L( z }H  PSYM invalid l i@|x(xNNplinelinenumarrowarrownumpsympsymnum_pvw"@l@? 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Use graphset as usual9  in other places.:  ;=>N hghj~\k +ERROR: E vector has too many ones for CODElmop?jkqrjiljkNxxyjiljkNz{Nev nv `h -ERROR: Not implemented for complex matrices.4h -ERROR: Not implemented for complex matrices.4_h 8ERROR: NO ROWS REMAIN AFTER DELETING ROWS WITH MISSINGSi}\ )ERROR: X cannot have more than 1 column.ELEik|k}lkNNx vnkdim h -ERROR: Not implemented for complex matrices.4h -ERROR: Not implemented for complex matrices.4_h 8ERROR: NO ROWS REMAIN AFTER DELETING ROWS WITH MISSINGSi}\ )ERROR: X cannot have more than 1 column.i|}lkNNx vnkdim  "#%&h' -ERROR: Not implemented for complex matrices.()4)*+,-.h/ -ERROR: Not implemented for complex matrices.014123456h7 -ERROR: Not implemented for complex matrices. WI8949:;<=>_h? 8ERROR: NO ROWS REMAIN AFTER DELETING ROWS WITH MISSINGS@ABiCD}\E )ERROR: X cannot have more than 1 column.FGHiIJzk}lK :ERROR: The third argument (P) of DUMMYDN is out of range.LMNk|OPkQRR}SlTkUV k)W  X   i) ++Y +ZN[Nx vpnkdimindxe LNTOPMO   PRSTUVWXYZ[N ]^ ,_y`am@b simplexcdei}@f Too many fontsghijNstr HNN (M   N d   Nstr yz8{`|}~@?ht@@Pt?$@?xt?????p@t$@&@(@*@,@"@.@htsimplex 0 X 0Ht(  0Xt@?@@@@  ` 8  (t?@@@@@@ @"@$@&@(@*@,@P x @Xt@  @ hHt@@  eig  graphic.tkf  Itet?@     (  P  p   0X N -./01(234N5Nnameerrval  }4  }4 }l`Nxsizeysizexshftyshfttyp tHNlrtb kLmNNxey P#M%kM   Nwindno `)  i}T ]     M qklGl DD!"X"#$%DD&'X'()*DD+,X,-./DD01X1234k5h789:;<=?N@NstartstepfinALPHABETALnbarLsbarKnbarKsbaraxbxGAMWORLDOUTvpipasmsanmnnnoutvmissamanwpmnwpaswpmswpknawpknmwpksawpksmwp vxfy Viewer mode = P My   zN{}PM}~Narg FGH 4IJLMhN -ERROR: Not implemented for complex matrices.OP4PQRSTUhV -ERROR: Not implemented for complex matrices.WX4XYZ[\]h^ -ERROR: Not implemented for complex matrices._`4`abcef?jkghimjkNjXjkmjkNlmNxev nxv   yesm  vwr.exem vwr.exe    H*   | p  postscriptm /tmp  .psx MP Error in PostScript conversionL   m0P   .@ H smt $q< Hz<  Viewer executable  6 not found, GAUSS directory should be in system path. p T    is not an executable file.    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Nstr  bce `"o  landscapemft^@@gthi`i `"o  portraitmjt@^@kt@lZmhmn o !pH!qs !"8""fNvNtkffileepsfileboundingboxtranslaterotate p "M NNtkffilepsfile  yz| `"o  landscapem`} jlHjx/~!@Hj0 jlxxHjxkZ `"o  portraitmP jlHjx/!@Hj0 jlxxHjxhp!!!!"8""eNNtkffilepsfilemarginymarginptsscaletranslaterotate tNxyz t%&'Nxyz h@ABNxyz h   N  vwy{(z{}{(~j{ x x lx  9l j  9jll$M  or kNrowcoltypxsizeysizexshftyshftntmpxy.s    jx x llxl   j jjlx lxlxjj jllx l  jxxllxljjjlxlxlxjjjllxljj  jjjjj  jjjNNPwALPHA BETALnbarLsbarKnbarKsbaraxbxGAMcn1cn2cn3cs1cs2cs3KnawKnmwLnawLnmwKsawKsmwLsawLsmwAnwMnwAswMsw kxl x   p 8 `  ]    M qpjkjklj ljljljp ljljkklGG0< x!""#G<$x%0%&'(*,:0yE>GL-l.//:0yE>DL0k1\202346p 8 `  N7NPnPsALPHABETATHETALnbarLsbarKnbarKsbaraxbxGAMsnssWORLDOUTPwstepedirInwIswAdnwAdswAwAdwEda PQfP~@R String too longSTU VNstr  4N0Lz(}`zlV瞯<}<kxlV瞯<}(z`zlV瞯<}<lxlV瞯<}(` %ERROR: XTICS - step value too small.Nminmax stepminordivk >@ "#(,.t??/)(*hM /q4i}i@5i)69iiyd: 4X and Y matrices must have the same number of rows.;<?yyyT@ "X and Y matrices not conformable.ABD yE!yFxH HJKLLi{`MfN O il|PHPQ |RSkT|UW WiL[ \ ]h]^ i_ `b+,M bqc-.M cqe/01234567(+,0M eq h89:;<=>?@(-.Xh@M hq k2Dl 2jmn;Do ;jprm\stuvv fzw %1.1 %*.*lfr lfx4xy oz|m\}x~ (fz %1.: %*.*lfr lf4 (o345<=> M    P0(0P00i0@0 /lx / / / /&  /& 0 M q"  X M q mT6?` 6?hih0h yT Error bar matrix invalid4hi"#  2;" M q$'% M q   !   P $%P)#   0X8" h2;(0 X Hx*   TPM    Nx y symbolcolorqxformatyformatframemsgstrpsympsymnummsgnumnkscagcodelinenumarrownumarrowct1t2msxxlabylabgridflagerrbnumpstypepcolorpltypepsymsizplctrlxincyincplinepmsgctlfontnumfntsizeplwidthmempnumpaxesgpcpathminxmaxxminymaxyqxsigqxfieldqxprecqxpowqxorigqxstepqxmaxqxmintqxlabqysigqyfieldqyprecqypowqyorigqystepqymaxqymintqylab defP~@f String too longghi PjNstr  $%&4'h(N)*0+,L,z(-.0}`122zlV瞯<}<3k4x5lV瞯<}(678h99z`:;;zlV瞯<}<<l=x>lV瞯<}(?@AhB`BC %ERROR: YTICS - step value too small.DEGNminmax stepminordivk xyfP~@z String too long{|} ~Nstr t cde4fHgNhi0jkLkz(lmn~\o )ERROR: ZTICS - min must be less than maxpqr{\s *ERROR: ZTICS - step too small or negativetuvwwzlV瞯<}<xkyxzlV瞯<}({|}H~Nminmaxstepminordivk