Consider a monopolist with a marginal cost curve MC = 5 + Q who
faces a demand curve P = 35 - .5*Q. Finally, assume that the
production of this good also emits a per-unit externality of 7.5.
That is, the marginal damage to third-parties is 7.5.
What per-unit tax can the government levy upon the business to
assure that only the socially optimal amount of output is
produced?
In case of negative externality, an optimal tax is imposed when the per unit tax equals the per unit external cost imposed by the producer.
In the given case, per unit external cost equals $7.5
This implies the per unit tax that the government must impose on the business equals $7.5 in order to produce the socially optimal amount of output.
Consider a monopolist with a marginal cost curve MC = 5 + Q who faces a...
26. (8 points) Consider a monopolist who faces a constant average and marginal cost of $5 and a linear demand curve of P = 20-20, where P is the price the monopolist charges and Q is the quantity consumers purchase. To obtain the optimal quantity and price, the monopolist needs to obtain the marginal revenue, which has the same intercept as the demand curve but twice as steep. Obtain the monopolist's marginal revenue, optimal output, and price.
26. (8 points) Consider a monopolist who faces a constant average and marginal cost of $5 and a linear demand curve of P = 20-2Q, where P is the price the monopolist charges and Q is the quantity consumers purchase. To obtain the optimal quantity and price, the monopolist needs to obtain the marginal revenue, which has the same intercept as the demand curve but twice as steep. Obtain the monopolist's marginal revenue, optimal output, and price.
A monopolist faces the following demand curve: Q = 80 – 0.2P Where Q is the weekly production and P is the price, measured in $/unit. The firm’s cost function is given by C = 100 + 20Q2 . Assuming the firm maximizes profits, Find the equation describing the marginal revenue (MR) curve. What is the level of production (Q), price (P), and total profit (π) per week? If the government decides to levy a per-unit tax of 50 $/unit...
Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=15Q MC=100 What level of output maximizes total revenue? What is the profit maximizing level of output? What is profit maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by state government. What is the profit maximizing level of output
A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=15Q MC=100 What level of output maximizes total revenue? What is the profit-maximizing level of output? What is the profit-maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by the state government. What is the profit-maximizing level of output?
A monopolist faces a demand curve P = 210 - 3Q and faces a constant marginal cost MC = 15. a) Calculate the profit-maximizing monopoly quantity and compute the monopolist's total revenue at the optimal price. d) Suppose that this monopoly opens for competition and the market becomes perfectly competitive. The firms face constant marginal cost MC = 15. Find the long-run perfectly competitive industry price and quantity.
Scenario A: A monopolist faces the following demand curve, marginal revenue curve, total cost curve for its product: Q=3500-5p MR= 250-Q TC=150 MC=100 What level of output maximizes total revenue? What is the profit maximizing level of output? What is profit maximizing price? How much profit does the monopolist earn? Suppose that a tax of $10 for each unit produced is imposed by state government. What is the profit maximizing level of output
Suppose a monopolist faces one market with the following demand curve: ?2(?2) = 1000 − 2?2 Let the marginal cost be $20 per unit. What is the firm’s optimal output? What is the profit-maximizing price? Suppose the government requires the monopolist to charge a price that is equal to the socially optimal price. What is this price? What is the socially optimal level of output?
Exercise 2. A monopolist faces the following demand curve: Q 10,000 100P Where Q is the weekly production and P is the price, measured in S/unit. The firm's cost function is given by C 50Q 30,000. Assuming the firm maximizes profits a. Find the equation describing the marginal revenue curve b. What is the level of production, price, and total profit per week? c. If the government decides to levy a tax of 10 $/unit on this product, what will...
Suppose a monopolist faces a demand curve P = 60 – 3Q. Marginal cost is constant and equal to 6 (MC = 6). If a per-unit excise tax, t = $9 per unit is levied on consumers, how much will consumers pay for each unit of the good after the tax?