A monopoly seller is able to divide its overall market into two submarkets with the demand functions: P1 = 100 – 91 P2 = 120 – 292 The monopoly produces output in a single plant with the cost function (C): C = 20(q1 + q2) Find the optimal production levels (i.e. which maximize profit) for each market.
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- 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?A monopoly that produces beer has estimated the following demand function: 1 p(q) = 300 q + 20t 3000 The variables are defined as follows: p is the price of a liter of beer, q is production, and t is the monthly average temperature in degrees centigrade. The estimated cost of producing a liter of beer is $12. Below is a table with the average temperature recorded in Arizona during March and April. Month Temperature March 35 April 38 a) Find the optimal price for the monopolist in each month b) Calculate the Mark-up for April and according to it estimate the elasticity of demand. Comment on the results. C) Determine the efficiency loss in the month of March.A monopolist faces a market demand curve given by Q(p) = 70 – p. Its total costs are described by TC(Q) = 3ố0 Q³ – 5Q + 250. 1 a) Derive the monopoly price, quantity, and profits. b) Calculate Lerner Index under the monopoly equilibrium. c) Now suppose the government sets the maximum price at $40. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss? d) Suppose the government sets the maximum price at $30. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss?
- The demand a monopoly faces is p = 400 - Q+A 0.5 where Q is its quantity, p is its price, and A is the level of advertising. Its marginal cost of production is $40, and its cost of a unit of advertising is $1. What is the firm's profit equation? The monopoly's profit equation (л) as a function of Q and A is π= (400-Q+A05) Q-40Q-A. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The monopoly's profit-maximizing price is p = $270, quantity is Q = 260, and advertising is A = 16900. (Enter numeric responses using real numbers rounded to two decimal places.)In first-degree price discrimination, a monopolist manipulates market price by altering the quantity of product supplied to that market. Select one: True False A natural monopoly arises when the firm's technology has economies of scale small enough for it to supply some of the markets at a lower average total production cost than is possible with more than ane firm in the market. Select one: True False If a firm's production function is defined as, y=f(x;,X2Xa), the firm's profit is; II(x,,x, ,x,) = p(y)-w,x, - w,x, - w,x. Select one: True FalseIf a monopoly faces an inverse demand curve of p=450-Q, has a constant marginal and average cost of $30, and can perfectly price discriminate, what is its profit? What are the consumer surplus, welfare, and deadweight loss? How would these results change if the firm were a single-price monopoly? Profit from perfect price discrimination () is $88200. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is Profit from single-price profit-maximization is = $44100. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is CS = $0 W = $ 88200 DWL = $0. CS = $ 22050 W = $ 66150 DWL = $ 22050
- A monopoly firm has estimated the own price elasticity of their market to be Q,P= -14.5at the quantity Q = 30 and price P = $169. If the monopolist cost function is given by: C(Q) = 25 + 11Q + 3Q2 a. How should this firm be managed? b. How much output will be supplied to the market and what price will be charged?Let a firm have a cost function C = 100 +5Q2. (a) If the firm can sell as much product as it wants at a price P = 100, how much will it produce and what will her profit be? (b) If the firm is a monopoly and faces a demand function P = 200 – 5Q. Determine the firm's output, price, and profit. (c) At what level of output is the monopolist's revenue maximized and what is the profit in this production?If a monopoly faces an inverse demand curve of p=330-Q, has a constant marginal and average cost of $90, and can perfectly price discriminate, what is its profit? What are the consumer surplus, welfare, and deadweight loss? How would these results change if the firm were a single-price monopoly? Profit from perfect price discrimination () is $ 28800. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is CS=$ W = $ DWL = $ A
- A nightclub manager realizes that demand for drinks is more elastic among students, and is trying to determine the optimal pricing schedule. Specifically, he estimates the following average demands: • Under 25: qr = 18 − 5p • Over 25: q = 10 − 2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the nightclub $2 each. (a) If the market cannot be segmented, what is the uniform monopoly price?Consider a monopoly firm which has T=1000+40Q+0.1 Q² MC=40+0.2 Q and demand is P=240-0.15Q so MR =240-0.30Q a)find the monopoly outcome (Q,price and profit). b)find the competative outcome (Q,price and profit) c)Now continue to assume competative pricing is forced in the firm ,and presume the monopoly can make copies of its factory .find Qmes and ACmin .the market quantity and finally revenue and CS.If a monopoly faces an inverse demand curve of p=210-Q, has a constant marginal and average cost of $30, and can perfectly price discriminate, what is its profit? What are the consumer surplus, welfare, and deadweight loss? How would these results change if the firm were a single-price monopoly? Profit from perfect price discrimination (x) is $ 16200. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is CS=$0, W=$ 16200. DWL=$0. Profit from single-price profit-maximization is = $8100 (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is CS = $. W=$. DWL=$