25. A monopoly firm's market demand function is P = a - bQ, where Q is output and P is price. (a) What is the firm's marginal revenue (MR) function (which is a function of Q)? [Please use the method introduced in the class. Don't use calculus.] The firm's marginal cost (MC) function is MC = cQ. Solve the firm's profit-maximizing output. (b)
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- 7. A monopoly firm faces a demand curve given by 2(P) = 40 – 2p. The firm has constant MC=$12. (A) Find the firm's marginal revenue and use this to find the firm's profit-maximizing output and price. Draw a diagram. Hint: first figure out how express the firm's total revenue in terms of Q. Then if you know calculus, take the derivative of this expression with respect to Q to find marginal revenue. If you don't know calculus, recall that for a linear demand curve, (1) the slope of the marginal revenue curve is twice (in absolute value) the slope of the demand curve; and (2) the marginal revenue curve intersects the vertical (price) axis at the same point as the demand curve; and (3) the marginal revenue curve hits the quantity axis at half the distance of the demand curve. (B) Find the price elasticity of demand at the profit-maximizing output and price. Is demand elastic?Suppose a monopoly firm has the following Cost and Demand functions: TC=Q2 P=80-Q MC=2Q MR=80-2Q Carefully explain what the firm is doing and why. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Suppose because of an advertising campaign, which costs $500, the monopoly’s demand curve is: P=100-Q so its MR= 100-2Q. MC=2Q Looking closely at the TC function and the demand curve, explain the effects of the advertising campaign on the equations compared with the equations above in part 1. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Was the advertising campaign successful? Compare 2 w/ 1. Why?In British Columbia, Canada a company named after Tim Hortons runs a monopoly on a sweet snack called Timbits! Suppose the demand for Timbits is P=90-Q and the cost function is C-Q How much would the consumer surplus, producer surplus and DWL be in case Tim Hortons a single-price monopoly? Suppose Tim Hortons could install a device in its premises that could immediately 11) predict the willingness to pay of every unsuspecting customer entering its franchise premises and charge them that corresponding amount! Additionally, suppose they could also stop resale of products, and thus become a first degree price discriminatıng monopoly. How much would the consumer surplus, producer surplus and DWL be in this case?
- Barbara is a producer in a monopoly industry. Her demand curve and total cost curve are given by Q = 160 - 4P and TC = 4Q. Barbara will produce ✓ units. Barbara will charge a price of Barbara will make a profit of Suppose now the government imposes a tax of 4 dollars on each unit sold. With the tax: Barbara will produce ✓ units. Barbara will receive a price per unit of higher). Barbara will make a profit of In addition to the tax, suppose the government imposes a business levy (a fixed cost) of $500. With this levy: Barbara will produce Barbara will charge a price of Barbara will make a profit of ✓. Note: we're looking for the Barbara receives, not the price consumers pay (which will be ✓ units. ✓. Note: we're looking for the Barbara receives, not the price consumers pay (which will be higher).Don't use pen or paper A monopoly firm faces the following average revenue (demand) curve: P = 360 − 0.04Q where Q denotes the output and P is the price, measured in dollars The firm’s cost function is given by C = 60Q + 5000. Assume that the firm maximizes profits. The marginal cost (MC) of production is $60. question: Can you calculate the deadweight loss (i.e., the efficiency loss) generated in this monopoly market? Group of answer choices $281250 $150000 $252800 $210825The following graph shows the demand (D) for cable services in the imaginary town of Utilityburg. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local cable company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. (? 100 90 Monopoly Outcome 80 70 60 50 40 ATC 30 MC 20 10 MR D 2 6 8 10 12 14 16 18 20 QUANTITY (Number of subscriptions) Which of the following statements are true about this natural monopoly? Check all that apply. O In order for a monopoly to exist in this case, the government must have intervened and created it. O The cable company is experiencing diseconomies of scale. O The cable company is experiencing economies of scale. O It is more efficient on the cost side for one producer to exist in this market rather than a large number of producers. True or False: Without government…
- 1. Suppose a firm operates as a monopoly in the domestic (home) market for a product. The demand for itsproduct is given by the inverse demand function: P = 120 −QD. The company’s costs are: T C = 20Q+ 200and MC = $20.A) Find the firm’s profit-maximizing output and price as a monopoly.B) Find the firm’s total profit in the monopoly market.2. Suppose the home country open up to free trade and a foreign competitor enters the market. Assume thatthe foreign firm has the same cost structure as the home firm (the monopoly from the previous question).A) Derive the best response function for each firm (h-home and f-foreign)B) Find each firms’ output, the home market price, and each firms’ profit from the home market3. Now, suppose that in addition to the home country opening up to free trade, the foreign country has alsoopened up to free trade. As a result, both firms sell their product in both markets.A) Find each firms’ overall output, market price in each market, and each firms’ overall…Problem 08-09 A monopolist's inverse demand function is estimated as P = 150 – 3Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC1(Q1) = 6Q1, and the marginal cost of producing at facility 2 is MC2(Q2) = 2Q2. a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q + Q2 = Q.) MR(Q): Q2 b. Determine the profit-maximizing level of output for each facility. Output for facility 1: Output for facility 2: c. Determine the profit-maximizing price. %24In a monopoly, the average cost and the marginal cost are fixed and equal. According to this; Draw the cost, demand, and marginal revenue curves for the monopoly. Indicate the price the monopoly would charge in the absence of discrimination. On your graph, indicate the area corresponding to the monopoly profit, which will be called X. Indicate the consumer surplus (Y) and the deadweight loss. Suppose now that the monopoly practices perfect discrimination. What then is the profit of the monopoly (give your answer in terms of X, Y and Z)How does price discrimination affect monopoly profit? What is the effect on the total surplus? Which is the more important of the two effects? Explain in terms of X, Y and Z.
- Demand function for a monopoly is Q=100- 2P. The firm's cost curve is C(Q)=20+10Q. (show all your answers in a figure too, draw them manually) a. What is the profit-maximizing solution? What is the firms' maximum profit? What is the revenue-maximizing solution? b. What is the Lerner index at profit maximizing quantity? c. Calculate the deadweight loss if the monopoly charges the profit-maximizing price. d. How does charging the monopoly a specific tax for t = $15 per unit affect price and quantity and the welfare of consumers, the monopoly, and society (where society's welfare includes the tax revenue)? What is the incidence of the tax on consumers?2. Suppose the cost function for a monopoly is given by TC =F+c.q where TC is the total cost, F is the fixed cost and q is the output of the firm. The demand function for the monopoly is given by q = A-bP where A > 0 and b > 0. Find out the profit maximizing price, quantity, and profit for the monopoly. Also find out the expression for the marginal revenue of the monopoly as well as the elasticity of demand facing the monopoly.The monopolist faces the demand curve D(p) = 100 – 2p. Its cost function is c(y) = 2y. What is your optimal level of production and prices? Solve mathematically and graph