For a monopolist facing a linear demand function (P = a - bQ) for their product and a constant marginal cost (MC = c), how much would they raise the price they charge if a $6 per unit excise tax were to be imposed?
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- 3. Consider a monopolist who faces the following demand: Demand: P= 100 – 10Q MC= 50+20 a) Find the price quantity combination that maximizes profit for the monopolist. b) Is the firm making positive, negative or zero profits? (100,100) Kareem chooses (60, 105) (500, 400) Saleem chooses Kareem chooses (50,420) 4. Calculate the SPNE/SPNES for the game stated above.Price 30 MC 23 20 15 ATC D 9 12 15 \MR Quantity d) If a price ceiling of $17.50 is imposed by the government on the monopolist, estimate the quantity that the monopolist will produce based on the graph. What happens to the deadweight loss and why? (Note: no need to compute for the DWL.)1. A profit maximizing monopolist has the following demand and cost functions: P =80– 2Q TC = Q² +8Q+20 The government is considering imposing an excise tax on the production and sale of the product. The tax increases the variable cost for the firm. For example, if the tax is $2 per unit and the firm produces 10 units then the firm needs to pay $2x10 =$20 total tax to the government. This is added to the firm's cost of production. The government's objective is to generate the maximum possible tax revenue from the monopolist by imposing an excise tax on the production and sale of the product. Drawing a simple diagram describe this as a sequential game. Considering tax rate (t) as the continuous strategy for the government and the output as the continuous strategy for the firm, determine the subgame perfect Nash equilibrium and calculate the optimal tax rate and the optimal level of output. Also, calculate the price charged by the firm. Determine the payoffs in the game when the…
- Assume inverse demand function for game console in an imaginary country is P=1200-4Q and the total cost function is TC=400+4Q2. Government put $120 of specific tax on production. If the market is competitive what is the incidence of tax on consumer? If the market is monopolist what is the incidence of tax on consumer?The figure at right shows the demand line, marginal revenue line, and cost curves for a single-price monopolist. Now suppose the monopolist is able to charge a different price on each different unit sold. 200- The profit-maximizing quantity for the monopolist is 400. (Round your response to the nearest whole number.) 180 160- MC The price charged for the last unit sold by this monopolist is s450 (Round your 140- response to the nearest dollar) 2 120, ATC The monopolist's profit is $ 50. (Round your response to the nearest dollar.) 100- 80 60- 40- 20- MR D- 76 150 225 300 375 450 525 600 675 750 Quantity Price (S)1. A monopolist has a cost function given by C(y)=y² and faces a demand curve given by P(y) 120-y. %3D (a) What is the profit maximising level of output and the price that the monopolist will charge? Show your calculations. (b) If you impose a lump sum tax of £100 on this monopolist, what will be the impact on output? Explain your calculations and the intuition behind your result. (c) If you wanted to choose a price ceiling for this monopolist so as to maximise consumer plus producer surplus, what price ceiling should you choose? How much output will the monopolist produce at this price ceiling? Explain your calculations. (d) Suppose that you impose a specific tax of £20 per unit of output. What will be the monopolist's profit maximising level of output? Explain your derivation and comment on the impact on output.
- Please answer the following questions on the basis of the monopolist's situation illustrated in the following graph: MC Dollars per Unit ATC $10 8. 5. D- AR MR! 100 125 130 150 Quantity (a) At what output rate (Q) and price does monopolist operate, under profit maximization? (b) At the profit maximizing quantity level (part a above), approximately what is the firm's total cost (TC) and total revenue? (c) What is the firm's economic profit or loss in equilibrium? I U x2 E E A- B X2 X étv MacBook Pro 用16. Lloyd is a monopolist with constant marginal costs. Market demand is given by D(p) = 200 p²². If the government introduces a specific tax of $2 per unit sold, how much will Lloyd increase the price of the good? A) $1 B) $1.33 C) $2 D) $4 E) $4.33Assume inverse demand function for game console in an imaginary country is P=1200-4Q and the total cost function is TC=400+4Q². Government put $120 of specific tax on production. a. If the market is competitive what is the incidence of tax on consumer? b. If the market is monopolist what is the incidence of tax on consumer?
- 1. A monopolist has a cost function given by C(y)=y? and faces a demand curve given by P(y) = 120-y. %3D (a) What is the profit maximizing level of output and the price that the monopolist will charge? Show your calculations. (b) If you impose a lump sum tax of £100 on this monopolist, what will be the impact on output? Explain your calculations and the intuition behind your result. (c) If you wanted to choose a price ceiling for this monopolist so as to maximize consumer plus producer surplus, what price ceiling should you choose? How much output will the monopolist produce at this price ceiling? Explain your calculations. (d) Suppose that you impose a specific tax of £20 per unit of output. What will be the monopolist's profit maximizing level of output? Explain your derivation and comment on the impact on output.When a monopolist sells two units of output its total revenue is R600. When aa monopolist sells three units of output its total revenue is R690. To sell three units od output instead of only two, what must the monopolist do?MC Qu. 99 Suppose the accompanying figure shows the... Suppose the accompanying figure shows the demand curve, marginal revenue curve and marginal cost curve for a monopolist. Price ($/unit) 0 F MR G H Quantity (units/day) MC When this monopolist maximizes its profit, consumer surplus equals the area: