\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{Angela Avila} \pdfinfo{ /Title (resumen-1-microeconomia-2.pdf) /Creator (Cheatography) /Author (Angela Avila) /Subject (RESUMEN 1- MICROECONOMÍA 2 Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{1590A3} \definecolor{LightBackground}{HTML}{F0F8F9} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{RESUMEN 1- MICROECONOMÍA 2 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Angela Avila} via \textcolor{DarkBackground}{\uline{cheatography.com/182196/cs/37934/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}Angela Avila \\ \uline{cheatography.com/angela-avila} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 26th March, 2023.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{PREFERENCIAS}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{"Lo que queremos"} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{El consumidor elige su mejor {\bf{cesta de consumo}} en la cual se encuentran bienes y servicios, esta cesta debe ser completa ya que debe incluir todo lo que el consumidor requiere.} \tn % Row Count 5 (+ 4) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Plantearemos un ejemplo en el cual el consumidor tendrá 2 cestas las cuales contienen productos, y se su preferencia se representaría asi:} \tn % Row Count 8 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{x1,x2 =Cesta n°01} \tn % Row Count 9 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{y1,y2 =Cesta n°02} \tn % Row Count 10 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{(x1,x2 ){\bf{≻}} (y1,y2 )={\emph{ preferencia estricta}}} \tn % Row Count 11 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{(x1,x2 ){\bf{≽}} (y1,y2 )= {\emph{preferencia débil}}} \tn % Row Count 12 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{(x1,x2 ){\bf{∼}} (y1,y2 )={\emph{ indiferencia}}} \tn % Row Count 13 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{ELECCIÓN DEL CONSUMIDOR}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{También llamado relación de preferencias, toda elección debe ser completa, continua y transitiva por ello veremos los axiomas de elección.} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\bf{AXIOMA DE LA COMPLETITUD}}} \tn % Row Count 4 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Las preferencias no dependen de un conjunto de posibilidades, porque la jerarquía es la misma para todos los elementos de A} \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\emph{ a{\bf{≽}}a'∨ a'{\bf{≽}}a ∀ a, a' ∈A}}} \tn % Row Count 8 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\bf{AXIOMA DE LA TRANSITIVIDAD}}} \tn % Row Count 9 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{También llamado axioma de la {\bf{racionalidad o coherencia}}, no hay espacio para contradicciones} \tn % Row Count 11 (+ 2) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\emph{a{\bf{≽}}a' ∧ a'{\bf{≽}}a''⟹ a{\bf{≽}}a'' ∀ a, a',a''∈A}}} \tn % Row Count 13 (+ 2) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\bf{AXIOMA DE LA CONTINUIDAD}}} \tn % Row Count 14 (+ 1) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Tanto el conjunto con las acciones más preferidas como menos deben tener puntos límite} \tn % Row Count 16 (+ 2) % Row 9 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\emph{\{a': a'{\bf{≽}} a\} y \{a': a'{\bf{≼}} a\} para toda a ∈A,son cerradas }}} \tn % Row Count 18 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{DEMANDA}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Es la cantidad de bienes y servicios que los consumidores están dispuestos a comprar tomando en cuenta el precio y el mercado , podemos ver aquí la {\bf{"ley de la demanda"}}, en la cual si los precios suben la demanda disminuye y viceversa.} \tn % Row Count 5 (+ 5) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{En este caso se trabajara con el caso del consumidor en el cual no hay saciedad para ello se plantea el problema de optimización en el cual se debe consumir algo de cada bien.} \tn % Row Count 9 (+ 4) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Encontramos dos funciones de demanda:} \tn % Row Count 10 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\emph{ {\bf{DEMANDA ORDINARIA O MARSHALLIANA}} }}} \tn % Row Count 11 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Surge con el problema de maximización de la utilidad sujeto a la restricción presupuestaria, es decir que la cantidad consumida permite alcanzar la mayor utilidad posible pero este esta sujeto a los precios y al ingreso.} \tn % Row Count 16 (+ 5) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\bf{ máx u(x1,x2) }} sujeto a {\bf{m:x1p1+x2p2 }}} \tn % Row Count 17 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\emph{ {\bf{DEMANDA COMPENSADA O HICKSIANA}} }}} \tn % Row Count 18 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Surge del problema dual, la minimización de costos al tener un nivel de utilidad, es decir buscar la satisfacción de utilidad pero al menor costo posible .} \tn % Row Count 22 (+ 4) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\bf{ mín C=x1p1+x2p2 }} sujeto a {\bf{u= u (x1,x2)}}} \tn % Row Count 23 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}