1. We have the demand function P = 24 3Q for a product. (a) Calculate the...
1. We have the demand function P = 24 3Q for a product.
(a) Calculate the price elasticity when price is $14.
(b) Suppose there is only one firm in this market (monopoly), and
the firm’s total revenue is defined as P*Q. What’s the price level
that maximizes the total revenue?
Homework Answers
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1. We have the demand function P = 24 3Q for a product.
(a) Calculate the...
1. The demand for the book is P = 96 – 3Q. A bookstore can order...
1. The demand for the book is P = 96 – 3Q. A bookstore can order copies that will cost $7. If the bookstore orders 11 books, what is the total profit? 2. A firm faces the demand curve: P = 2611 - 10Q. What is the firm’s revenue maximizing price?(round to two decimal places if necessary). 3. If TC = 42 + 20Q + 4Q2 , what is the marginal cost at when Q=10? 4. Assume P = 84...
Exercise 6. Consider a firm with monopoly power that faces the demand curve P= 100 – 3Q +4A 1/2 and has the total cost...
Exercise 6. Consider a firm with monopoly power that faces the demand curve P= 100 – 3Q +4A 1/2 and has the total cost function C = 4Q+ 10Q + A where A is the level of advertising expenditures, and P and Q are price and output a. Find the values of A, Q and P that maximizes the firm's profit. b. Find the maximum level of profit.
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. 1a. Derive the equation of each firm's quantity reaction function. b. What are the Cournot equilibrium quantity and price in this market? How much does each firm produce? c. What would be the equilibrium price and quantity in this market if it were perfectly competitive? d. What would the equilibrium...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. (part 2) 1a. What is the Bertrand equilibrium price and quantity in this market? 1b. Suppose Firm 1 is the Stackelberg leader, what is the equilibrium price in this market if Firm 2 plays the follower in this duopoly market? What is the equilibrium quantity? How much does each firm...
1. A monopoly is facing an inverse demand curve that is p=200-5q. There is no fixed cost and the marginal cost of produc...
1. A monopoly is facing an inverse demand curve that is
p=200-5q. There is no fixed cost and the marginal cost of
production is given and it is equal to 50.
Find the total revenue function.
Find marginal revenue (MR).
Draw a graph showing inverse demand, MR, and marginal cost
(MC).
Find the quantity (q) that maximizes the profit.
Find price (p) that maximizes the profit.
Find total cost (TC), total revenue (TR), and profit made by
this firm.
Find...
1. Suppose there are two potential customers in the market. One has demand function D1(p)=10-p ....
1. Suppose there are two potential customers in the market. One has demand function D1(p)=10-p . The other has demand function D2(p)=20-2p. The only firm in this market has constant marginal cost of 2. (1) Draw the two demand curves in a graph, with price on the vertical axis and demand on the horizontal axis. (2) (3rd-degree price discrimination) If the monopoly can identify the two consumers and charge different prices to them, what is the optimal price charged to...
1. Suppose there are two potential customers in the market. One has demand function D1(p)=10-p ....
1. Suppose there are two potential customers in the market. One has demand function D1(p)=10-p . The other has demand function D2(p)=20-2p. The only firm in this market has constant marginal cost of 2. (1) Draw the two demand curves in a graph, with price on the vertical axis and demand on the horizontal axis. (2) (3rd-degree price discrimination) If the monopoly can identify the two consumers and charge different prices to them, what is the optimal price charged to...
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal...
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal cost MCQ) = 10 + 2Q. If production is competitive, this is the market (inverse) supply curve. If production is consolidated under a monopolist, this is the monopolist's MC curve. a. Suppose there is a monopolist. Explain how marginal revenue for a monopolist is different than for a firm under perfect competition. Then derive the profit-maximizing market outcome (including the monopoly price and quantity...
4) A firm faces the demand curve, P-80-3Q, and has the cost equation, What is the...
4) A firm faces the demand curve, P-80-3Q, and has the cost equation, What is the equation for the firm's total revenue? 200+20Q. a) b) What is the equation for the firm's marginal revenue? c) What is the quantity that maximizes total revenue? d) Find the optimal quantity and price for the firm if they are trying to maximize profit e) What is the firm's profit at the price and quantity in (d)? f) Now suppose that the demand for...
Exercise 1. Your firm produces basketballs. The inverse demand function for your basketballs is given by: P = 100 – 3q....
Exercise 1. Your firm produces basketballs. The inverse demand function for your basketballs is given by: P = 100 – 3q. The cost function is C = 8 + 2q². a. Write down a function that states the firm's profit as a function of the amount of output (basketballs produced). b. What is the profit-maximizing amount of output? How much profit does it make when it maximizes profits? Total Revenue? Costs? c. At what minimum price will the firm produce...
Exercise 6. Consider a firm with monopoly power that faces the demand curve P= 100 – 3Q +4A 1/2 and has the total cost function C = 4Q+ 10Q + A where A is the level of advertising expenditures, and P and Q are price and output a. Find the values of A, Q and P that maximizes the firm's profit. b. Find the maximum level of profit.
1. A monopoly is facing an inverse demand curve that is
p=200-5q. There is no fixed cost and the marginal cost of
production is given and it is equal to 50.
Find the total revenue function.
Find marginal revenue (MR).
Draw a graph showing inverse demand, MR, and marginal cost
(MC).
Find the quantity (q) that maximizes the profit.
Find price (p) that maximizes the profit.
Find total cost (TC), total revenue (TR), and profit made by
this firm.
Find...
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal cost MCQ) = 10 + 2Q. If production is competitive, this is the market (inverse) supply curve. If production is consolidated under a monopolist, this is the monopolist's MC curve. a. Suppose there is a monopolist. Explain how marginal revenue for a monopolist is different than for a firm under perfect competition. Then derive the profit-maximizing market outcome (including the monopoly price and quantity...
4) A firm faces the demand curve, P-80-3Q, and has the cost equation, What is the equation for the firm's total revenue? 200+20Q. a) b) What is the equation for the firm's marginal revenue? c) What is the quantity that maximizes total revenue? d) Find the optimal quantity and price for the firm if they are trying to maximize profit e) What is the firm's profit at the price and quantity in (d)? f) Now suppose that the demand for...
Exercise 1. Your firm produces basketballs. The inverse demand function for your basketballs is given by: P = 100 – 3q. The cost function is C = 8 + 2q². a. Write down a function that states the firm's profit as a function of the amount of output (basketballs produced). b. What is the profit-maximizing amount of output? How much profit does it make when it maximizes profits? Total Revenue? Costs? c. At what minimum price will the firm produce...
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