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Question 5
Based on
Demand: P = 1,000 − 10Q
Total Revenue: TR = 1,000Q − 10Q2
Marginal Revenue: MR = 1,000 − 20Q
Marginal Cost: MC = 100 + 10Q
where Q indicates the number of copies sold and P is the price in Ectenian dollars.
a. Find the price and quantity that maximize the company’s profit.
b. Find the price and quantity that would maximize social welfare.
c. Calculate the
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- Assume the figure on the right shows the cost structure for a monopolistically competitive firm selling a particular brand of shoes. MC is the marginal cost curve and AC is the average cost curve. If this firm produces 2 thousand pairs of shoes, does it minimize average cost? How much more would they need to produce to reach minimum average cost? The firm needs to produce an additional thousand pairs of shoes to reach minimum average cost. (Enter your response as an integer.) SEED Price (dollars per pair) 80- 72- 64- 56- 48- 40- 32- 24- 16- 8- 0- 0 1 Quantity (in thousands) MC AG 10 Q 20Suppose a company creates its own differentiated type of sneaker and is thus considered a monopolistically competitive firm. This firm has a constant marginal cost curve. For each unit of output that the monopolistically competitive firm produces, it costs an additional $50$50. The firm's marginal revenue curve is MR=80−6QMR=80−6Q, where Q is the quantity produced. The firm's perceived demand curve is P=80−3QP=80−3Q. What is the monopolistically competitive firm's profit-maximizing output and price? Write the exact answer. Do not round.The demand and total cost functions for a monopolistically competitive market are: Q(P) = 300/N – P, where N = number of firms TC(Q) = 50 + Q2 There are currently three firms in this market and they are in a short run equilibrium. c) In the long run, how many firms are in the market (round to the nearest integer)?
- The diagram above shows a monopolistically competitive firm in the long run. Answer the questions below. If the firm is currently producing and selling Q1 units, what is the price being charged? Using the points displayed on the diagram, name the rectangular area that represents the total fixed cost of production. Using the points displayed on the diagram, name the rectangular area that represents the total variable cost of production. ) Using the points displayed on the diagram, name the rectangular area that represents the profit or loss. What should the firm do regarding price and/or quantity to minimize its losses?Consider the long-run equilibrium in a monopolistically competitive market. Which of the following alternatives is correct? (a) Price is equal to marginal cost (b) The equilibrium is cost-efficient: Firms produce at the minimum of the average cost curve (c) The equilibrium is welfare-efficient: There is no deadweight loss (d) There are no barriers to entry: Every firm earns zero profitsAssume the following equations describe the conditions for a typical firm in a monopolistically competitive market: P = 6 - .00075qd TC = 4,000 + 2q + .00025q2 where qd is the firm's quantity demanded, P is the commodity's price in dollars, TC is the firm's total cost in dollars and q is the quantity of output produced. Based upon these equations, answer the following questions: a. What quantity of output will the profit-maximizing firm produce in the market's long-run equilibrium? What price will the profit-maximizing firm establish in the long run? Explain how you know this firm is in long-run equilibrium? b. Determine the firm's allocatively efficient quantity of output? c. Determine deadweight loss that exists when this firm is in monopolisitc competition's long-run equilibrium.
- The following table shows the daily cost data and demand schedule for a typical firm producing board games in a monopolistically competitive market in the short run. Fill in the values in the Marginal Cost, Total Revenue, and Marginal Revenue columns in the following table and then answer the questions that follow. Quantity Price (Board games) (Dollars per game) Total Cost Marginal Cost (Dollars) (Dollars) Total Revenue (Dollars) Marginal Revenue (Dollars) Average Total Cost (Dollars) 1 16.00 14.00 10.00 8.00 6.00 4.00 2.00 2 3 4 5 6 7 8 0.50 12 18 21 24 35 48 63 80 Under monopolistic competition, a typical firm will produce Based on your calculations, the firm will Fill in the Average Total Cost column in the previous table. ^^^^^^^ board games at a price of $ Based on your calculations, the level of excess capacity in this monopolistically competitive market is per board game in the short run.1) Suppose you are operating a discount movie theater and want to increase profits by charging adults and kids different prices. Assume there are no variable costs, just fixed costs to show the movie. You estimate the inverse demand function for kids to be: p1(y1) = 4 - 0.05y1 You estimate the inverse demand function for adults to be: p2(y2) = 9.6 - 0.08y2 a) How many kids will watch a movie? What price will you charge kids? b) How many adults will watch a movie? What price will you charge adults?Assume a firm engaging in selling its product and promotional activities in monopolistic competition face short-run demand and cost functions as Q = 20-0.5P and TC= 4Q2 -8Q+15, respectively. Having this information a) Determine the optimal level of output and price in the short run. b) Calculate the economic profit (loss) the firm will obtain (incur). c) Show the economic profit (loss) of the firm in a graphic representation.
- Consider a monopolistically competitive market with NN firms. Each firm's business opportunities are described by the following equations: Demand: Q=100N−PQ=100N−P Marginal Revenue: MR=100N−2QMR=100N−2Q Total Cost: TC=50+Q2TC=50+Q2 Marginal Cost: MC=2QMC=2Q As N rises, the demand for each firm's product: rise or fall? How many units does each firm produce? a: 25 b: 400/N c: 25/N d: 25N What price does each firm charge? a: 75N b: 125/N c: 75/N d: 100/N How much profit does each firm make? a: 1,250/N*2−50 b: 2,500/N*2−50 c: 50+625/N*2 d: 1,875/N*2 In the long run, how many firms will exist in this market?The laptop industry is monopolistically competitive. Each firm's total cost function is given by TC = 80,000 + 10Q, where Q is the firm's output. Each firm's demand function is given by Q = S((1/n) - (1/800)(P-V)), where S is industry output, n number of firms, P price of this firm, and V average price of competing firms. (Hint: each firm's marginal revenue function is MR = P - (800Q/S).) Note: show the key steps in your work. a. Home's market size is 4,900. Find the equilibrium in the Home market: what will be each firm's output, price, and number of firms? b. Foreign's market size is 57,600. Find the equilibrium in the Foreign market: what will be each firm's output, price, and number of firms? c. Suppose Home and Foreign integrate their laptop markets. Find the equilibrium in the integrated market: what will be each firm's output, price, and number of firms? d. Intuitively, why does market integration allow both countries to be better off?QUESTION 2: Monopolies The demand and total cost functions for a monopoly firm are: Q(P) = 39.5 – 0.5P TC (Q) = 60 – Q + 0.5 Q2 a) Plot the demand, marginal revenue, marginal cost, and average total cost curves. b) What are the profit maximizing QM and PM for this firm? Indicate this on the graph. c) What is the firm’s profit πM? Indicate this on the graph. d) What are the firm's fixed and variable costs? e) What would be the socially optimal Q* and P* (round to 1 decimal place if needed)?