2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q2, and a marginal cost function: MC(q) = 10q. Market demand is given by equation Qd(p) = 200 - p. a. Solve for the short-run equilibrium outcome: P*, Q* and q*. b. What is one firm's economic profit in this market? c. Consider a different market structure, where there is only one firm, interpreted as a monopolist, and then critically discuss the impact on equilibrium price and quantity. Discuss total surplus for these two types of market structures.

2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q2, and a marginal cost function: MC(q) = 10q. Market demand is given by equation Qd(p) = 200 - p. a. Solve for the short-run equilibrium outcome: P, Q and q*. b. What is one firm's economic profit in this market? c. Consider a different market structure, where there is only one firm, interpreted as a monopolist, and then critically discuss the impact on equilibrium price and quantity. Discuss total surplus for these two types of market structures.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter12: The Partial Equilibrium Competitive Model

Section: Chapter Questions

Problem 12.9P

See similar textbooks

Similar questions

2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q2, and a marginal cost function: MC(q) = 10q. Market demand is given by equation Qd(p) = 200 - p. a) What is the fixed cost? Solve the average variable cost function in the short-run. b) What is the supply function of each firm? c) Solve for the short-run equilibrium outcome: P*, Q* and q*. d) What is one firm's economic profit in this market?
2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q2, and a marginal cost function: MC(q) = 10q. Market demand is given by equation Qd(p) = 200 - p. a. What is the fixed cost? Solve the average variable cost function in the short-run. b. What is the supply function of each firm? c. Solve for the short-run equilibrium outcome: P*, Q* and q*. d. What is one firm's economic profit in this market? e. Consider a different market structure, where there is only one firm, interpreted as a monopolist, and then critically discuss the impact on equilibrium price and quantity. Discuss total surplus for these two types of market structures.
Suppose the competitive market price is $60, and a competitive firm’s total costs = q^2 - 6q + 990 and marginal cost = 2q - 6. a. Solve for the profit-maximizing (or loss minimizing) quantity (q*). b. What is the market equilibrium price? c. Should the competitive firm produce q*? Explain why using one of the four key questions and solutions. d. Does the competitive firm make a profit? Explain why using one of the four key questions and solutions. e. How much profit (or loss) does the competitive firm make?
E3 Consider a perfectly competitive firm in a short run scenario. Its total cost function is TC(q)= 4q^2 + 8. The market demand function is Q(p) = 800 - 15p, and there are 40 identical firms in the market. A. What is a firm's short-run supply function? Will it ever decide to shut down? Explain. And what is the market supply function? B. Suppose there are 40 identical firms in the market. What is the equilibrium price, p*? What is the equilibrium quantity supplied by each firm, q*? What is each firm's equilibrium profit? Will there be more entry into the market? Why? C. Repeat b, but with 80 firms this time. Label your results with superscript ** D. Repeat part b, but with 280 identical firms now. Label your results by superscript ***. Part E. Compare your results in parts b - d. Explain why the increase in the number of firms affects the results in that manner. What should happen to profit eventually as the number of firms keeps increasing? And when this happens to profit,…
The table below shows the average cost (AC) for a purely competitive market. The average revenue (AR) is constant at RM5 per unit and the firm’s total fixed cost (TFC) is RM4. If the average revenue falls to RM3 per unit, calculate the firm’s new profit or loss at the equilibrium. Based on your answer, should the firm continue or stop the production? Justify. Output (Units) Total Revenue (RM) Average Cost (RM) Total Cost (RM) Marginal Cost (RM) Marginal Revenue (RM) 1 8.0 2 5.5 3 4.0 4 3.5 5 3.8 6 4.5 7 6.0
In a certain perfectly competitive market, there are 150 firms, and the short-run total cost function of each is given by Short Term Total Cost (q) = 3q³ - 16q² + 40q + 432 (note that "q" is the quantity produced by the firm). Besides that, any firm (active or potential entrant) can produce according to the total cost function Short Term Total Cost (q) = 2q³ - 16q² + 148q (desconsidering the entrance or exit of firms). Furthermore, the inverse aggregate demand function of this market corresponds to Pd(Q) = 676 - 0.56Q (which "Q" is the total quantity demanded). Based on this information, please check True or False in the arguments below: 1-The profit that each producer makes in the short-run competitive equilibrium is greater than the profit that each producer makes in the long-run competitive equilibrium. True or False? 2-In the long-term competitive equilibrium, there are 200 active firms in this market. True or False? 3-The price p* = 105 and the quantity Q* = 750 composes the…
A firm sells its product in a perfectly competitive market. Its total cost function is: TC = 900 - 20Q + Q2where TC is total cost and Q is output level.a. Find the firm’s average total cost function. b. Find the firm’s average variable cost function. c. Find the firm’s marginal cost function. d. Given the price is $100, what is the profit-maximizing output level? e. Given the price is $100, what is the profit level? f. Over time, is there going to be entry or exit in this competitive market? Why?
In a purely competitive market at its long-run equilibrium, which of the following is not true? a The marginal benefit of the last unit of the product equals the marginal cost of producing that unit. b The maximum willingness of buyers to pay for the last unit of the product equals the minimum acceptable price for the seller of that unit. c Price equals marginal cost, and they are equal to the lowest attainable average cost of production. d The combined amount of consumer and producer surpluses is at its minimum possible.
Assume a competitive industry is initially at its long-run equilibrium, given the inverse market demand and supply functions:p = 25000 − 0.2qd ??? Qs = 5000 + 0.3qsIf all firm in this market have identical cost structures:a) How many firms operate in this market at this point? b) What is the profit maximizing quantity produced by each competitive firm?
A perfectly competitive industry has a large number of potential entrants. Each firm has an identical cost structure such that long-run average cost is minimized at an output of 20 units (qi) =20. The minimum average cost is $10 per unit. Total market demand is given by ? = 1,500 − 50?a. What is the industry’s long-run supply schedule?b. What is the long-run equilibrium price (p*)? The total industry output (Q*)? The output of each firm (O*)? The number of firms? The profits of each firm? c. The short-run total cost function associated with each firm’s long-run equilibrium output is given by ?(?) = 0.5?2 − 10? + 200Calculate the short-run average and marginal cost function. At what output level does short run average cost reach a minimum? d. Calculate the short-run supply function for each firm and the industry short-run supply function.e. Suppose now that the market demand function shifts upward to Q =2,000 - 50P. Using this new demand curve, answer part (b) for the very short run…
Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 0.5Q^2The market demand curve for this product is: Qd= 120 −PThere are 9 firms in the market.a) What are each firm’s: fixed cost, variable cost, marginal cost, and average total cost? Graph the average-total-cost curve and the marginal-cost curve.b) Give the equation for each firm’s supply curve.the average-total-cost curve at its minimum? What is marginal cost and average totalc) Give the equation for the market supply curve for the short run in which the numbercost at that quantity?
In a competitive market, the long-run demand is given by P = 20 - (0.01)*q Firms in the industry have as their cost structure the expression C = q3 - 5q2 + 10q. Determine: (a) equilibrium price b) Quantity produced-sold of the firm. c) What quantity is traded in the market? d) Over what time period does this market work? (short or long term?) e) What is the profit of the individual firm? f) What will be the behavior of the individual firm, will it exit or stay in the market?