Microeconomics
11th Edition
ISBN: 9781260507140
Author: David C. Colander
Publisher: McGraw Hill Education
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Chapter 13, Problem 1IP
To determine
Output decision of
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The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible.
We have identical firms, each with a Total Cost curve of TC=358+q^2 and Marginal Cost curve MC=2q.
Market demand is Q=600-2P.
If the Marginal Cost for every firm decreases by $10 at every quantity, what is the short-run market price?
Hint: first find the number of firms by solving for the original LR equilibrium.
Firms in a perfectly competitive market are said to be “price takers”—that is, once the market determines an equilibrium price for the product, firms must accept this price. If you sell a product in a perfectly competitive market, but you are not happy with its price, would you raise the price, even by a cent?
What happens to a competitive firm whose cost function exhibits decreasing marginal cost everywhere? Construct a concrete cost function of this type and carry out the search for the profit-maximizing output.
Chapter 13 Solutions
Microeconomics
Ch. 13.1 - Prob. 1QCh. 13.1 - Prob. 2QCh. 13.1 - Prob. 3QCh. 13.1 - Prob. 4QCh. 13.1 - Prob. 5QCh. 13.1 - Prob. 6QCh. 13.1 - Prob. 7QCh. 13.1 - Prob. 8QCh. 13.1 - Prob. 9QCh. 13.1 - Prob. 10Q
Ch. 13 - Prob. 1QECh. 13 - Prob. 2QECh. 13 - Prob. 3QECh. 13 - Prob. 4QECh. 13 - Prob. 5QECh. 13 - Prob. 6QECh. 13 - Prob. 7QECh. 13 - Prob. 8QECh. 13 - Prob. 9QECh. 13 - Prob. 10QECh. 13 - Prob. 11QECh. 13 - Prob. 12QECh. 13 - Prob. 13QECh. 13 - Prob. 14QECh. 13 - Prob. 15QECh. 13 - Prob. 16QECh. 13 - Prob. 17QECh. 13 - Prob. 18QECh. 13 - Prob. 19QECh. 13 - Prob. 20QECh. 13 - Prob. 1QAPCh. 13 - Prob. 2QAPCh. 13 - Prob. 3QAPCh. 13 - Prob. 4QAPCh. 13 - Prob. 5QAPCh. 13 - Prob. 1IPCh. 13 - Prob. 2IPCh. 13 - Prob. 3IPCh. 13 - Prob. 4IPCh. 13 - Prob. 5IP
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- A firm in a perfectly competitive market uses only workers to produce output. The relationship between the number of workers and the amount of output is given in the table attached. Suppose the wage paid to a worker is $100, and the firm has fixed costs of $500. a. Complete the table by filling in marginal product (MP), variable cost (VC), total cost (TC), and marginal cost (MC). b.Suppose the price of the good they produce is $25. What quantity does this firm produce in the short run? What are its profits? Show your work and explain your answer. c. Is the market in long-run equilibrium? Explain. If it is not, explain what will happen to the price in the market and the quantity produced by each firm as the market transitions to long-run equilibrium.arrow_forwardFor a perfectly competitive firm to operate and produce an output level in the short-run, the firm's Price must be greater than, or equal to, what cost for the firm?arrow_forwardExercise 1: For the production function from the previous homework: y = Kα Lα Assume that the firm is in the long run (so you can use the long-run cost function you found in the previous homework) to answer the following: a. Consider the case of α = 1/(3 + A), where A is the last digit of your ASU ID#. Also, assume that the market operates under perfect competition. Obtain long-run quantity produced and profits for the firm (as a function of parameters w1, w2 and p). Also obtain the (long-run) unconditional input demands (as a function of the same parameters). b. For the case of α = 1/2 obtain the long-run output price p (as a function ofarrow_forward
- The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=334+q^2 and Marginal Cost curve MC=2a. Market demand is Q=807-2P. If the Marginal Cost for every firm decreases by $10 at every quantity, what is the short-run market price? (You can assume that MC>=AVC at every quantity for this question).arrow_forwardCan you help with parts d,e and f please? A perfectly competitive firm has the following total cost function: TC = 4,500 + 2q + .0005q2 where TC is total cost in dollars and q is the quantity of output produced. a. Assume this perfectly competitive market consists of 800 firms with cost structures identical to the one above. What is the equation for the market supply curve? Assume the market demand curve is: Qd = 5,600,000 – 400,000P where Qd is the quantity demanded in the market and P is the commodity’s price in dollars. b. What is the market’s equilibrium price? c. Assuming the market is in equilibrium, using marginal revenue and marginal cost determine the firm’s profit-maximizing quantity of output? What does the profit-maximizing firm’s total economic profit equal? Assume the total cost function above: TC = 4,500 + 2q + .0005q2 is associated with the short-run total cost function that corresponds to the minimum point on the long-run average total cost curve and this is a…arrow_forwardThe market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including number of firms, is possible. We have identical firms, each with a Total Cost curve of TC=862+q^2 and Marginal Cost curve MC=2q. Market demand is Q=856-2P. What is the number of firms in the market in the long run equilibrium?arrow_forward
- A perfectly competitive market is in a long-run equilibrium. Prices of variable inputs for the typical firm decrease. Describe what will happen in the short run, to the typical firm’s marginal costs, average fixed costs, average costs, profits, and production as the firm makes its choices. In each case, describe why those changes take place. Describe exactly why the firm decides to make changes. As part of that discussion, summarize what happens in the market and how those changes relate to the typical firm. You do not need to discuss why the changes take place in the market. Outline in several sentences what will happen in the long run to the typical firm and the market.arrow_forwardd-f please!arrow_forwardSuppose q = f(L,K) =2L¹/2 What is the marginal cost in the long-run of the firm? O MCLR(q) = q4/2 MCLR(q) = q2 / 4 O MCLR(q) = q /4 O MCLR(q) = 8q³/3 O MCLR(q) = 4q²/2 + 2K1/2 and the prices or labor and capital are w=$1, r=$1.arrow_forward
- Glowglobes are produced by identical firms in a perfectly competitive market. Each firm's Total Cost function is TC=599+17q+q^2 and Marginal Cost function is MC=17+2q. Market demand is Q=517-P. If the market price is $95, what is the quantity each firm produces?arrow_forwardThe demand curve and supply curve for carpet cleaning in the local market are currently as follows: Demand: Q = 1,000 - 1OP Supply: Q = 640 + 2P The total cost function for the typical carpet cleaning company is: TC= 75 + 3q2 (so that FC=75, VC=3q2 and MC= 6q), where costs are measured in dollars and q is output per year. The market is perfectly competitive. First question how do I calculate the optimal output for the typical carpet cleaning firm in the short run and how many firms would operate in the market in the short run? Second, how would I compute operating profits and total profits for the typical firm in the short run. Based on the results so far, would you say that this market is at the long-run equilibrium?arrow_forwardUnder what condition will a competitive firm necessarily shut down its operations? What does this imply regarding the shape of the firm's short run supply curve? Use this condition to determine the short run supply curve of the firm uses Labour (L) and Capital (K) to produce commodity (Y). Assuming that the wage rate is Rs. 340/- and the rental rate on capital is Rs. 0.5/-. The quantities of the inputs and outputs are shown in the table below. L 0 1 2 3 4 5 6 7 8 9 10 K 90 90 90 90 90 90 90 90 90 90 90 Y 0 100 250 420 560 675 760 820 860 885 900arrow_forward
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