commit 4d0f2b3f91f41bef350d4275076a1c3ecfe236be Author: Rushil Umaretiya Date: Tue Jan 23 20:30:28 2024 -0500 started pset1 diff --git a/.template/template.tex b/.template/template.tex new file mode 100644 index 0000000..0372a46 --- /dev/null +++ b/.template/template.tex @@ -0,0 +1,120 @@ +\documentclass{article} + +\usepackage{fancyhdr} +\usepackage{extramarks} +\usepackage{amsmath} +\usepackage{amsthm} +\usepackage{amsfonts} +\usepackage{tikz} +\usepackage[plain]{algorithm} +\usepackage{algpseudocode} +\usepackage[shortlabels]{enumitem} +\usepackage{mathtools} +\usepackage{amssymb} + +\usetikzlibrary{automata,positioning} + +% +% Basic Document Settings +% + +\topmargin=-0.45in +\evensidemargin=0in +\oddsidemargin=0in +\textwidth=6.5in +\textheight=9.0in +\headsep=0.25in + +\linespread{1.1} + +\pagestyle{fancy} +\lhead{\hmwkAuthorName} +\chead{\hmwkClassTime (\hmwkClassInstructor): \hmwkTitle} +\lfoot{\lastxmark} +\cfoot{\thepage} + +\renewcommand\headrulewidth{0.4pt} +\renewcommand\footrulewidth{0.4pt} + +\setlength\parindent{0pt} + +% +% Create Problem Sections +% + +\newcommand{\enterProblemHeader}[1]{ + \nobreak\extramarks{}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} + \nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} +} + +\newcommand{\exitProblemHeader}[1]{ + \nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} + \stepcounter{#1} + \nobreak\extramarks{Problem \arabic{#1}}{}\nobreak{} +} + +\setcounter{secnumdepth}{0} +\newcounter{partCounter} +\newcounter{homeworkProblemCounter} +\setcounter{homeworkProblemCounter}{1} +\nobreak\extramarks{Problem \arabic{homeworkProblemCounter}}{}\nobreak{} + +\newcommand{\hmwkTitle}{Problem Set $number} +\newcommand{\hmwkDueDate}{$date, 2024} +\newcommand{\hmwkClass}{Introduction to Economics} +\newcommand{\hmwkClassTime}{ECON 101} +\newcommand{\hmwkClassInstructor}{Robert McDonough} +\newcommand{\hmwkAuthorName}{\textbf{Rushil Umaretiya}} + +% +% Title Page +% + +\title{ + \vspace{2in} + \textmd{\textbf{\hmwkClass:\ \hmwkTitle}}\\ + \normalsize\vspace{0.1in}\small{\textbf{Due\ on\ \hmwkDueDate\ at 11:59pm}}\\ + \normalsize\text{Tuesday/Thursday 3:30-4:45, Genome Sciences 100}\\ + \vspace{0.1in}\large{\textit{\hmwkClassInstructor\ - \hmwkClassTime}} + \vspace{3in} +} + +\author{\hmwkAuthorName\\\small{rumareti@unc.edu}} +\date{} + +\renewcommand{\part}[1]{\textbf{\large Part \Alph{partCounter}}\stepcounter{partCounter}\\} + +% +% Various Helper Commands +% + +% Useful for algorithms +\newcommand{\alg}[1]{\textsc{\bfseries \footnotesize #1}} + +% For derivatives +\newcommand{\deriv}[1]{\frac{\mathrm{d}}{\mathrm{d}x} (#1)} + +% For partial derivatives +\newcommand{\pderiv}[2]{\frac{\partial}{\partial #1} (#2)} + +% Integral dx +\newcommand{\dx}{\mathrm{d}x} + +% Alias for the Solution section header +\newcommand{\solution}{\textbf{\large Solution}} + +\newcommand{\question}[1]{\pagebreak\section{Question #1}} + +% Probability commands: Expectation, Variance, Covariance, Bias +\newcommand{\E}{\mathrm{E}} +\newcommand{\Var}{\mathrm{Var}} +\newcommand{\Cov}{\mathrm{Cov}} +\newcommand{\Bias}{\mathrm{Bias}} + +\begin{document} + +\maketitle + +\question{X} + +\end{document} \ No newline at end of file diff --git a/pset1/pset1.aux b/pset1/pset1.aux new file mode 100644 index 0000000..d34f016 --- /dev/null +++ b/pset1/pset1.aux @@ -0,0 +1,7 @@ +\relax +\@writefile{toc}{\contentsline {section}{Question 1}{2}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{Question 2}{3}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{Question 3}{4}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{Question 4}{5}{}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{Question 5}{6}{}\protected@file@percent } +\gdef \@abspage@last{6} 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10000i,1000n,20000p,200000b,200000s +{/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-ts1.enc} +Output written on pset1.pdf (6 pages, 158994 bytes). +PDF statistics: + 97 PDF objects out of 1000 (max. 8388607) + 60 compressed objects within 1 object stream + 0 named destinations out of 1000 (max. 500000) + 13 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/pset1/pset1.pdf b/pset1/pset1.pdf new file mode 100644 index 0000000..51ac22e Binary files /dev/null and b/pset1/pset1.pdf differ diff --git a/pset1/pset1.synctex.gz b/pset1/pset1.synctex.gz new file mode 100644 index 0000000..cdba2cf Binary files /dev/null and b/pset1/pset1.synctex.gz differ diff --git a/pset1/pset1.tex b/pset1/pset1.tex new file mode 100644 index 0000000..9c67d77 --- /dev/null +++ b/pset1/pset1.tex @@ -0,0 +1,222 @@ +\documentclass{article} + +\usepackage{fancyhdr} +\usepackage{extramarks} +\usepackage{amsmath} +\usepackage{amsthm} +\usepackage{amsfonts} +\usepackage{tikz} +\usepackage[plain]{algorithm} +\usepackage{algpseudocode} +\usepackage[shortlabels]{enumitem} +\usepackage{mathtools} +\usepackage{amssymb} + +\usetikzlibrary{automata,positioning} + +% +% Basic Document Settings +% + +\topmargin=-0.45in +\evensidemargin=0in +\oddsidemargin=0in +\textwidth=6.5in +\textheight=9.0in +\headsep=0.25in + +\linespread{1.1} + +\pagestyle{fancy} +\lhead{\hmwkAuthorName} +\chead{\hmwkClassTime (\hmwkClassInstructor): \hmwkTitle} +\lfoot{\lastxmark} +\cfoot{\thepage} + +\renewcommand\headrulewidth{0.4pt} +\renewcommand\footrulewidth{0.4pt} + +\setlength\parindent{0pt} + +% +% Create Problem Sections +% + +\newcommand{\enterProblemHeader}[1]{ + \nobreak\extramarks{}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} + \nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} +} + +\newcommand{\exitProblemHeader}[1]{ + \nobreak\extramarks{Problem \arabic{#1} (continued)}{Problem \arabic{#1} continued on next page\ldots}\nobreak{} + \stepcounter{#1} + \nobreak\extramarks{Problem \arabic{#1}}{}\nobreak{} +} + +\setcounter{secnumdepth}{0} +\newcounter{partCounter} +\newcounter{homeworkProblemCounter} +\setcounter{homeworkProblemCounter}{1} +\nobreak\extramarks{Problem \arabic{homeworkProblemCounter}}{}\nobreak{} + +\newcommand{\hmwkTitle}{Problem Set 1} +\newcommand{\hmwkDueDate}{January 26th, 2024} +\newcommand{\hmwkClass}{Introduction to Economics} +\newcommand{\hmwkClassTime}{ECON 101} +\newcommand{\hmwkClassInstructor}{Robert McDonough} +\newcommand{\hmwkAuthorName}{\textbf{Rushil Umaretiya}} + +% +% Title Page +% + +\title{ + \vspace{2in} + \textmd{\textbf{\hmwkClass:\ \hmwkTitle}}\\ + \normalsize\vspace{0.1in}\small{\textbf{Due\ on\ \hmwkDueDate\ at 11:59pm}}\\ + \normalsize\text{Tuesday/Thursday 3:30-4:45, Genome Sciences 100}\\ + \vspace{0.1in}\large{\textit{\hmwkClassInstructor\ - \hmwkClassTime}} + \vspace{3in} +} + +\author{\hmwkAuthorName\\\small{rumareti@unc.edu}} +\date{} + +\renewcommand{\part}[1]{\textbf{\large Part \Alph{partCounter}}\stepcounter{partCounter}\\} + +% +% Various Helper Commands +% + +% Useful for algorithms +\newcommand{\alg}[1]{\textsc{\bfseries \footnotesize #1}} + +% For derivatives +\newcommand{\deriv}[1]{\frac{\mathrm{d}}{\mathrm{d}x} (#1)} + +% For partial derivatives +\newcommand{\pderiv}[2]{\frac{\partial}{\partial #1} (#2)} + +% Integral dx +\newcommand{\dx}{\mathrm{d}x} + +% Alias for the Solution section header +\newcommand{\solution}{\textbf{\large Solution}} + +\newcommand{\question}[1]{\pagebreak\section{Question #1}} + +% Probability commands: Expectation, Variance, Covariance, Bias +\newcommand{\E}{\mathrm{E}} +\newcommand{\Var}{\mathrm{Var}} +\newcommand{\Cov}{\mathrm{Cov}} +\newcommand{\Bias}{\mathrm{Bias}} + +\begin{document} + +\maketitle + +\question{1} + +We apply the cost-benefit principle every day. As students, the choice to attend UNC involved big costs and (hopefully) benefits. + +\begin{enumerate}[(a)] + + \item Attending UNC involves large out-of-pocket costs, which are listed + on UNC's student aid website: + https://studentaid.unc.edu/current/costs/. + Using this site, find the total yearly cost of attending UNC as an + in-state student. + + \item What is the North Carolina state minimum wage? Use the state minimum wage to calculate the foregone wages that you lose by attending UNC for the year. + + \item Not all costs are measured in dollars! Describe some of the nonmonetary costs of spending a year at UNC. + + \item At UNC, most students graduate after 8 semesters (4 years). Setting aside the non-monetary costs, use the numbers you found + above to calculate the opportunity cost of earning your degree. Ignore the possibility of student loans and aid, and pretend that + you are paying out of pocket. + + \item Explain the cost-benefit principle in a sentence or two. Incorporating the numbers you found above, then explain your decision + to attend UNC this year using the cost-benefit principle. +\end{enumerate} + +\question{2} Your car needs gas before you can go to work this morning. You +decide to go to the gas station that is out of the way, but where gas +is \$0.10/gallon cheaper than the gas station on the way to work. This +gets you into work 10 minutes later than going to the other gas station. +If your wage is \$20/hour and you have to purchase 20 gallons of gas, +was this worth it? Why or why not? + +\question{3} Tanner and Jasmine are each capable of producing two services: walking dogs or cooking meals. Tanner can cook a meal for 6 people in +an hour, or walk 1 dog in an hour. Jasmine can cook a meal for 2 +person in an hour, or walk 3 dogs in an hour. They each have 4 hours +available to use to cook meals or walk dogs. +\begin{enumerate}[(a)] + \item Draw a production possibilities frontier showing Tanner's capacity to cook meals or walk dogs, then add another PPF showing +Jasmine's ability to cook meals or walk dogs. + + \item Label (including numbers) a point on Tanner's PPF that he could +produce at without trading. Do the same for a point on Jasmine's +PPF + + \item Who has the comparative advantage in cooking meals? Who +has the comparative advantage in walking dogs? Explain both +answers. + + \item Tanner and Jasmine decide to specialize in producing one thing, +then trade. What will Tanner choose to produce and what will +Jasmine choose to produce. Explain your answer. + + \item What can we say about the price that Tanner and Jasmine would +both be willing pay to trade meals and dog walks? + + \item Suppose that before trading, Tanner and Jasmine each spent two +hours walking dogs and two hours cooking meals. What are the +gains to specialization and trade in this situation? Provide an +example for how the gains from trade could be distributed so +that Tanner and Jasmine each have more of each service than +before. + + \item In your example for how the gains of trade could be distributed, +how much of each good are Tanner and Jasmine trading to one +another? Do these ”terms of trade” make sense, given what you +wrote in part (e)? +\end{enumerate} + +\question{4} + +Consider the market for a new physical copy of our textbook, \emph{Principles of Economics by Stevenson and Wolfers}. The instructors teaching large classes of ECON 101 at UNC all use this textbook. For each +of the following situations, decide if demand will shift, if supply will +shift, or if neither will shift. Then, draw a graph clearly illustrating +how supply or demand will shift. +\begin{enumerate}[(a)] + \item The price of textbook ink increases. + + \item UNC mandates that all arts and science majors must take ECON +101. + + \item The price of the textbook rises. + + \item The price of used copies of the old edition of the textbook decrease. +\end{enumerate} + +\question{5} + +Consider the daily market for a cup of coffee in Chapel Hill. Market +demand for coffee is given by the equation \(P = 80 - \frac{1}{2}Q_d\), and market +supply of coffee is given by \(P = \frac{Q_s}{38}\). +\begin{enumerate}[(a)] + \item If the price of coffee is \$0, how many cups would buyers want to +consume? How many cups would sellers want to sell? + + \item Calculate the price at which buyers would not want to buy any +coffee (i.e., \(Q_d = 0\)). + + \item Calculate the equilibrium price of coffee and the quantity of coffee +cups sold in Chapel Hill every day. + + \item Draw a properly labeled diagram for the market for coffee in +Chapel Hill. + +\end{enumerate} + +\end{document} \ No newline at end of file diff --git a/start_pset b/start_pset new file mode 100755 index 0000000..a6f7f68 --- /dev/null +++ b/start_pset @@ -0,0 +1,23 @@ +#!/usr/bin/env python3 +from string import Template +import os +import sys +import datetime + +d = input("What is the due date? ") +i = 1 + +while os.path.exists(f'pset{i}'): + i += 1 + +s = { + 'number': i, + 'date': d +} + +with open(f'.template/template.tex', 'r') as f: + src = Template(f.read()) + result = src.substitute(s) + os.mkdir(f'pset{i}') + with open(f'pset{i}/pset{i}.tex', 'w') as f: + f.write(result) \ No newline at end of file