A publisher has just finished publishing a new book. The company's marketing department estimates that the demand for the book is given by P = 100 - 0.0001Q (where: P and Q are the price and quantity respectively).
Assume that the company can produce the book at a fixed cost of zero and the marginal cost (equal to the average total cost) is constant at $10.
a. Write down the equation for the marginal revenue
b. How many copies of the book would maximize the company's profits? (Show your work)
c. What would the profit-maximizing price be? (Show your work)
d. How much profit would the company make? (Show your work)