Frances sells pencils in the perfectly competitive pencil market. Her output
per day and her total cost are shown in the following table:
$$
\begin{array}{|c|c|}
\hline \text { Output per Day } & \text { Total Cost } \\
\hline 0 & \$ 1.00 \\
\hline 1 & 2.50 \\
\hline 2 & 3.50 \\
\hline 3 & 4.20 \\
\hline 4 & 4.50 \\
\hline 5 & 5.20 \\
\hline 6 & 6.80 \\
\hline 7 & 8.70 \\
\hline 8 & 10.70 \\
\hline 9 & 13.00 \\
\hline
\end{array}
$$
a. If the current equilibrium price in the pencil market is \(\$ 1.80,\) how
many pencils will Frances produce, what price will she charge, and how much
profit (or loss) will she make? Draw a graph to illustrate your answer. Your
graph should be clearly labeled and should include Frances's demand, \(A T C, A
V C, M C,\) and \(M R\) curves; the price she is charging; the quantity she is
producing; and the area representing her profit (or loss).
b. Suppose the equilibrium price of pencils falls to \(\$ 1.00\). Now how many
pencils will Frances produce, what price will she charge, and how much profit
(or loss) will she make? Show your work. Draw a graph to illustrate this
situation, using the instructions in part (a).
c. Suppose the equilibrium price of pencils falls to \(\$ 0.25 .\) Now how many
pencils will Frances produce, what price will she charge, and how much profit
(or loss) will she make?