Professor Bong has just written the first textbook in Punk Economics. It is called 'Up Your Isoquant'. Market research suggests that the demand curve for this book will be Q = 2,000-100P, where P is the book's price. It will cost $1000 to set the book in type. This setup cost is necessary before any copies can be printed. In addition to setup cost, there is a marginal cost of $4 per book for every book printed.

a. What is the total revenue function R(Q) for Professor Bong's book?

b. What is the total cost function C(Q) for producing Professor Bong's book?

c. What are the marginal revenue function MR(Q) and the marginal cost function MC(Q)?

d. Find the profit-maximizing quantity of books for Professor Bong to sell.