fixed pset1

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Rushil Umaretiya 2024-01-24 23:05:56 -05:00
parent 9c49432891
commit 73cb562aa2
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6 changed files with 53 additions and 38 deletions

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@ -1,7 +1,7 @@
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@ -163,6 +163,8 @@ We apply the cost-benefit principle every day. As students, the choice to attend
\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.
The cost-benefit principle states that an individual should take an action if and only if the benefit of taking that action is greater than the cost of taking that action.
For me, the average starting salary for a computer science major is ~\$80,000. After working for two years leaving college my benefit would outweigh the cost of attending UNC. I also enjoy the social aspect of college and the opportunity to learn new things.
\end{enumerate}
@ -187,18 +189,6 @@ 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{center}
\begin{tabular}{ |c|c|c| }
\hline
Opportunity Cost & Meals Cooked & Dogs Walked \\
\hline
Tanner & \(\frac{1}{6}\) dog & 6 meals \\
\hline
Jasmine & \(\frac{3}{2}\) dog & \(\frac{2}{3}\) meal \\
\hline
\end{tabular}
\end{center}
\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.
@ -207,19 +197,19 @@ available to use to cook meals or walk dogs.
title={Production Possibilities Frontier},
xlabel={Number of Meals Cooked},
ylabel={Number of Dogs Walked},
xmin=0, xmax=7,
ymin=0, ymax=4,
xmin=0, xmax=28,
ymin=0, ymax=16,
axis lines=left,
grid=both,
legend pos=outer north east,
]
% Tanner's PPF
\addplot[domain=0:6, color=blue, thick] {-x/6 + 1};
\addplot[domain=0:24, color=blue, thick] {4-1/6*x};
\addlegendentry{Tanner}
% Jasmine's PPF
\addplot[domain=0:2, color=red, thick] {-3*x/2 + 3};
\addplot[domain=0:24, color=red, thick] {12-3/2*x};
\addlegendentry{Jasmine}
\end{axis}
@ -269,6 +259,20 @@ PPF
has the comparative advantage in walking dogs? Explain both
answers.
\begin{center}
\begin{tabular}{ |c|c|c| }
\hline
Opportunity Cost & Meals Cooked & Dogs Walked \\
\hline
Tanner & \(\frac{1}{6}\) dog & 6 meals \\
\hline
Jasmine & \(\frac{3}{2}\) dog & \(\frac{2}{3}\) meal \\
\hline
\end{tabular}
\end{center}
Tanner has the comparative advantage in cooking meals because he can cook 6 meals in an hour while Jasmine can only cook 2 meals in an hour. Jasmine has the comparative advantage in walking dogs because she can walk 3 dogs in an hour while Tanner can only walk 1 dog in an hour.
\item Tanner and Jasmine decide to specialize in producing one thing,
@ -356,13 +360,13 @@ how supply or demand will shift.
legend pos=outer north east,
]
\addplot[domain=0:10, color=blue, thick] {-2*x + 12};
\addplot[domain=0:10, color=blue, thick] {2*x};
\addlegendentry{Old Supply}
\addplot[domain=0:10, color=red, thick] {-2*x + 8};
\addplot[domain=0:10, color=red, thick] {2*x + 2};
\addlegendentry{New Supply}
\addplot[mark=*] coordinates {(3.5,5)};
\addplot[mark=*] coordinates {(2.5,5)};
\addplot[mark=*] coordinates {(1.5,5)};
\end{axis}
@ -401,12 +405,12 @@ how supply or demand will shift.
\pagebreak
\item The price of the textbook rises.
Since this situation affects the price of the good, there won't be a shift in either demand or supply curves, but a movement up the demand curve (decrease in quantity demanded).
Since this situation affects the price of the good, there won't be a shift in either demand or supply curves, but a movement up the demand curve (decrease in quantity demanded) and a movement up the supply curve (decrease in quantity supplied).
\begin{tikzpicture}
\begin{axis}[
title={Demand Curve},
xlabel={Quantity Demanded},
title={Market Curve},
xlabel={Quantity},
ylabel={Price},
yticklabel=\empty,
xticklabel=\empty,
@ -418,12 +422,19 @@ how supply or demand will shift.
]
\addplot[mark=*] coordinates {(5,5)};
\addlegendentry{Old Demand}
\addlegendentry{Old Equilibrium}
\addplot[mark=*, color=red] coordinates {(3,7)};
\addlegendentry{New Demand}
\addplot[mark=*, color=orange] coordinates {(7,7)};
\addlegendentry{New Supply}
\addplot[domain=0:10, color=blue, thick] {-x+10};
\addlegendentry{Demand}
\addplot[domain=0:10, color=purple, thick] {x};
\addlegendentry{Supply}
\end{axis}
\end{tikzpicture}
@ -462,6 +473,8 @@ how supply or demand will shift.
\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?