A publisher faces the following demand schedule for the next novel from one of its

Chapter 15, Problem Problems and Applications 15.1

(choose chapter or problem)

A publisher faces the following demand schedule for the next novel from one of its popular authors:

\(\begin{array}{rc}
\text { Price } & \text { Quantity Demanded } \\
\hline \$ 100 & 0 \text { novels } \\
90 & 100,000 \\
80 & 200,000 \\
70 & 300,000 \\
60 & 400,000 \\
50 & 500,000 \\
40 & 600,000 \\
30 & 700,000 \\
20 & 800,000 \\
10 & 900,000 \\
0 & 1,000,000
\end{array}\)

The author is paid $2 million to write the book, and the marginal cost of publishing the book is a constant $10 per book.

a. Compute total revenue, total cost, and profit at each quantity. What quantity would a profit-maximizing publisher choose? What price would it charge?

b. Compute marginal revenue. (Recall that \(M R=\Delta T R / \Delta Q\).) How does marginal revenue compare to the price? Explain.

c. Graph the marginal-revenue, marginal-cost, and demand curves. At what quantity do the marginal-revenue and marginal-cost curves cross? What does this signify?

d. In your graph, shade in the deadweight loss. Explain in words what this means.

e. If the author were paid $3 million instead of $2 million to write the book, how would this affect the publisher’s decision regarding what price to charge? Explain.

f. Suppose the publisher was not profit maximizing but was concerned with maximizing economic efficiency. What price would it charge for the book? How much profit would it make at this price?