Question
A publisher faces the following demand schedule for the next novel of one of its popular authors: Price Quantity Demanded $100 0 90 100 000
A publisher faces the following demand schedule for the next novel of one of its popular authors:
Price Quantity Demanded
$100 0
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
- 1 000 000
The author is paid $2 million to write the book, and the marginal cost of publishing the book is a constant $10 per book. /12
- 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 thatMR = TR/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 was paid $3 million instead of $2 million to write the book, how would this affect the publisher's decision regarding the 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?
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