There are 300 identical firms in a perfectly competitive market, the price of the output iS p, the short-run cost function of a typical firm in the market is as follows: C(q) = q³-2q?+2q+10 a. What is this firm's (short-run) marginal cost function? b. What is this firm's (short-run) average variable cost function? c. What is this firm's (short-run) supply function? d. If p = 17, what is this firm's maximum profit?
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- PROBLEM #1 The cost function for a typical firm, competing in a perfectly competitive market, is as follows: C(q)-80+4q² , where q represents the firm's output. a. Is this a long-run or short-run cost function? Briefly explain. Find the average variable cost (AVC) and marginal cost (MC) functions, as a function of q, for the typical firm. b. The market demand for this product is Q=2160-P and the market supply is Q=2P. Find the market equilibrium price and quantity. Then use your results to find the profit-maximizing level of output that the typical firm will produce. c. Based on your answer in part b, find the profit that the typical firm will earn. Based on the profits you found, do you expect firms to exit this industry, enter this industry, or neither? (Assume that all economic costs are included in the cost function.) Briefly explain your answer.The graph below shows the marginal cost (MC), average variable cost (AVC), and average total cost (ATC) curves for a firm in a competitive market. These curves imply a short-run supply curve that has two distinct parts. One part, not shown, lies along the vertical axis (quantity-0); this represents a condition of production shutdown. Where is the other part? Use the straight-line tool to drawit. To refer to the graphing tutorial for this question type, please click here Price and cost 18 15 14 13 12 10 19/21 SUBMIT ANSWER 13 OF 21 QUESTIONS C OMPLETED 28 MacBook Pro 금□ F7 F8 F9 F1o F2 F3 F5Assume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. It may help to create your own cost table and fill in columns for Marginal Cost and Average Total Cost based on the Total Cost information below. a.What is the level of profit for this firm at the profit maximizing output? b.To convince yourself that the quantity you found is indeed the profit maximizing quantity, try calculating what the profit would be at the next higher level of output. What did you find? c. What do you predict will happen in this market over the long run?
- 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.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 Q“(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 that the long-run cost function for a perfectly competitive firm in the personal computer business is C(q) = 4g + 2500 for q> 0. How many units does this firm produce in the long-run? What will be the price in the long-run? What is the profit of the firm in the long-run? The firm produces type your answer..... units of output. The price is $ type your answer.... in the long-run. The firm's profit is $ type your answer.... the long-run. in
- 1. Consider a perfectly competitive market with a price of $12, where each firm has a cost function of c(q) = 50+ 2q +0.5q². a) Is the market in long-run equilibrium? Explain why or why not. b) What is the value to a firm of a cost-saving process innovation that reduces the cost function to c(q) = 10 +0.5q²? c) Illustrate this innovation graphically using a well-labeled diagram.Please explain every part in details A competitive firm has the following short-run cost function: C(y) = y3 − 8y2 + 30y + 5. (a) Find the firm’s marginal cost function. (b) Find the firm’s average variable cost function. (c) Sketch graphs of the marginal cost and average variable cost functions as functions of output, y. At what point does the average variable cost curve intersect the marginal cost curve? In what intervals does the average variable cost curve decrease and increase? (d) Sketch the graph of the firm’s short-run supply function. (e) What is the shut-down price.Q4) A perfectly competitive firm has the following total cost function: Total output Total Cost 0 20 1 30 2 42 3 55 4 69 5 84 6 100 7 117 How much will the firm produce if the price of the production the market is Rs. 14 per unit? How will it change its output if price rises to Rs. 16 per unit?
- 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?Exercise 3 A firm has a long-run cost function Cl(y) = y 3 − 10y 2 + 30y. (1) Derive the firm’s long-run average cost function. (2) Derive the firm’s long-run marginal cost function. (3) Find the level of production with the lowest average cost. (4) What is the long-run supply function for this firm? (5) If the market price is p = $18, how much would the firm decide to produce?The table below shows the short-run production function for Michelle's Accounting Company. Number of Bookkeepers Total Product per Hour 1 8 2 20 3 40 4 55 5 65 6 70 7 65 8 55 (a) After which bookkeeper do diminishing marginal returns begin for Michelle's Accounting Company? Explain using numbers. (b) Assume Michelle's Accounting Company sells its accounting services in a perfectly competitive market at a price of $20. Calculate the marginal revenue product of the sixth bookkeeper. Show your work. (c) Michelle's Accounting Company hires bookkeepers in a perfectly competitive labor market for bookkeepers at a wage rate of $110 per hour, and the market price of services remains $20. How many bookkeepers will Michelle's Accounting Company hire to maximize its profit? Explain using marginal analysis. (d) Assume bookkeepers and accounting software are substitutes in providing accounting services by all accounting firms in the market. If accounting software, a…