Exam 23: A: Monopoly

A firm has invented a new beverage called Slops. It doesn't taste very good, but it gives people a craving for Lawrence Welk's music and Professor Johnson's jokes. Some people are willing to pay money for this effect, so the demand for Slops is given by the equation q = 20 - p. Slops can be made at zero marginal cost from old-fashioned macroeconomics books dissolved in bathwater. But before any Slops can be produced, the firm must undertake a fixed cost of $105. Since the inventor has a patent on Slops, it can be a monopolist in this new industry.

In Problem 1, if the demand schedule for Bong's book is Q = 3,000 - 100p, the cost of having the book typeset is $10,000, and the marginal cost of printing an extra book is $4, then he would maximize his profits by

A profit-maximizing monopoly faces an inverse demand function described by the equation p(y) = 30 - y and its total costs are c(y) = 6y, where prices and costs are measured in dollars. In the past it was not taxed, but now it must pay a tax of 2 dollars per unit of output. After the tax, the monopoly will

In Problem 1, if the demand schedule for Bong's book is Q = 5,000 - 100p, the cost of having the book typeset is $6,000, and the marginal cost of printing an extra book is $4, then he would maximize his profits by

In Problem 2, if the demand for pigeon pies is given by p(y) = 110 - , then the level of output that will maximize Peter's profit is

In Problem 2, if the demand for pigeon pies is given by p(y) = 140 - , then the level of output that will maximize Peter's profit is

The demand for Professor Bongmore's new book is given by the function Q = 6,000 - 100p. If the cost of having the book edited and typeset is $18,000, if the marginal cost of printing an extra copy is $4, and if he has no other costs, then he would maximize his profits by

In Problem 1, if the demand schedule for Bong's book is Q = 2,000 - 100p, the cost of having the book typeset is $9,000, and the marginal cost of printing an extra book is $4, then he would maximize his profits by

In Problem 2, if the demand for pigeon pies is given by p(y) = 140 - , then the level of output that will maximize Peter's profit is

A profit-maximizing monopoly faces an inverse demand function described by the equation p(y) = 50 - y and its total costs are c(y) = 10y, where prices and costs are measured in dollars. In the past it was not taxed, but now it must pay a tax of 2 dollars per unit of output. After the tax, the monopoly will