Aletheia is a monopoly supplier of a product in a seaside city. Her marginal cost is $5 per unit and she has no fixed costs. The market demand curve for the product is P = 25-q. What are the profit-maximising price, quantity, profit and DWL if Aletheia charges the same price to all her customers?
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- Suppose the market for calculators is Q = 1000 - 50P. Calculators can be produced at a constant average and marginal cost of $10 per unit. Calculate the market output and price under monopoly?You own a road resurfacing business called Dahyun Bricks services located in Seoul. You are the only reservicing business in South Korea. Therefore, you have a local monopoly. Your experience running the company for many years has taught you that market demand for your service can be described by the demand function: p = 20 - Q. The cost function is c =q². Therefore, marginal cost equals 2q. Quantity refersto square metre of road resurfacing. Note the Q denotes aggregate market demand and q denotes your production. Of course, if you are the only supplier than q = Q. a) Compute profit maximising price and output. Compute profits. b) The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in South Koreaand compete for market share. You are concerned with losing market share and profit. So, you offer the potential entrant the following deal. Both firms agree to maximise industry profits (joint profits). The potential entrant…A profit-maximizing monopolist sells its goods to two different countries. In one country it faces demand as p1 180 – 2q2. Its marginal cost is 2qi. If the monopoly were to charge different prices in these markets, in which market it can charge a higher price, explain using elasticity. Calculate CS, PS, and DWL. What would be the price if the firm were to 120 – q, and in other country it faces demand as P2 charge one price for both markets.
- You own a road resurfacing business called Rockit Asphalting services located in Kingston. You are the only reservicing business in Southern Tasmania. Therefore, you have a local monopoly. Your experience running the company for many years has taught you that market demand for your service can be described by the demand function: p = 20 − q. The cost function is c = q2. Therefore, marginal cost equals 2q. Quantity refers to square metre of road resurfacing. Note the Q denotes aggregate market demand and q denotes your production. Of course, if you are the only supplier than q = Q. Compute profit maximising price and output. Compute profits. The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in Southern Tasmania and compete for market share. You are concerned with losing market share and profit. So, you offer the potential entrant the following deal. Both firms agree to maximise industry profits (joint…You are the manager of a monopoly. A typical consumer's inverse demand function for your firm's product is P= 250-400, and your cost function is aQ) = 10Q. a. Determine the optimal two-part pricing strategy. Per-unit fee: $ Fixed fee: $ b. How much additional profit do you earn using a two-part pricing strategy compared with charging this consumer a per-unit price? $Yoselyn has a monopoly on foldable smartphones. Her marginal cost is $150, and her inverse demand is P = 550 - 2Q. What is the deadweight loss in this monopoly? $20,000 $0 $40,000 $10,000
- Suppose you are the owner of a firm that is an unregulated monopoly. You find that your marginal cost curve is: MC = 40 + 3Q where MC is dollar marginal cost and Q is output. Suppose also that the demand curve for your product is P = 100 - Q where P is product price and Q is output. If you want to maximize profit, what Q should you choose? Please show work.You are the manager of a monopoly, and your demand and cost functions are given by P = 300 − 3Q and C(Q) = 1,500 + 2Q2, respectively. a. What price–quantity combination maximizes your firm’s profits? b. Calculate the maximum profits. c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price–quantity combination? d. What price–quantity combination maximizes revenue? e. Calculate the maximum revenues. f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price–quantity combination?You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 600 − 3Q and C(Q) = 2,000 + 2Q2, respectively. a. What price–quantity combination maximizes your firm’s profits? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units b. Calculate the maximum profits. Instructions: Round your response to the nearest penny (two decimal places). $ c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price–quantity combination? multiple choice 1 Unit elastic Inelastic Elastic d. What price–quantity combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units e. Calculate the maximum revenues. Instructions: Round your response to the nearest penny (two decimal places). $ f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price–quantity…
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