In a perfectly competitive industry, each firm has the following long run (total) cost function: C = q² – 50q² + 750q Where q is the firm's output. The market demand function is Q = 2,000 – 4p where Q is the market output and p is the market price. a. Find the long-run market supply curve for this industry. b. Find the number of firms in this industry in the long run. C. Suppose the government imposes an excise tax of $50 per unit of output. Find the number of firms in this industry in the long run.
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- There are 80 perfectly competitive firms producing love letters, q. Each firm's cost function is C(q) = 4 + 4q². Market demand for love letters is Qp 240 - 5P. Use this information to answer questions #20 and #21. = 20. What is the short-run market equilibrium price for love letters? a. P = $8 b. P = $10 c. P = $16 d. P = $18.50 e. P = $24 21. What will happen to the number of firms selling love letters in the long-run? a. The number of firms in this market will decrease. b. The number of firms in this market will increase. C. The number of firms in this market will remain the same, but the market price will increase. d. The number of firms in this market will remain the same, but the market price will decrease. e. It is not possible to say what will happen to the number of firms without more information.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?Suppose that each firm in a competitive industry has the following costs: Total cost: TC=50 + 1/2q^2 Marginal cost: MC=q where q is an individual firm's quantity produced. The market demand curve for this product is Demand: QD = 120 - P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. a. What is each firm's fixed cost? What is its variable cost? Give the equation for average total cost.
- 1. Suppose there are 100 identical firms in the perfectly competitive notecard industry. Each firm has a short-run total cost curve of the form: 1 C = −q³ +0.2q² +4q +10 300 a) Calculate the firm's short-run supply curve with q (the number of crates of notecards) as a function of market price (P). b) Calculate the industry supply curve for the (Answer: QS = 1000√P - 2000) c) Suppose market demand is given by: Q 200P 8,000. What will be the equilibrium price-quantity combination? (Answer: P = $25; Q = 3000 units) d) Suppose everyone starts writing more research papers and the new market demand is given by: Q =— 200P + 10,000. What is the new price-quantity equilibrium? How much profit does each firm make? (Answer: ₁ = $576,14) == 100 firms in this industry.Suppose Robin's Clock Works produces in a perfectly competitive market. Suppose the average total cost of clocks is $95, the average variable cost of clocks is $90, and the price of clocks is $85. If the firm is producing the level of output where marginal cost equals price, then in the short run the firm: A) can increase profit by increasing output.B) is earning a positive economic profit.C) should continue to produce since total revenue exceeds total variable cost.D) should shut down.In a perfectly competitive market demand function of a good is Q" = -30P+ 2250 and supply function is Q° = 20P. Firms that are active in this market have an identical cost function of 0* – 6Q² + 30Q Calculate the short run market price and short run profit of each firms. b. How many firms are active in market in short run? c. What will be the long run price in market? d. How many firms are active in market in long run? a.
- A firm produces a product in a perfectly competitive industry and has a total cost function TC= 50+4q+2q². a. At the short-run market price of $20, the firm is producing 5 units of output. Is the firm maximizing its profit? Explain. b. What quantity of output will the firm produce in the long run, assuming there is no change in cost structure? What will be the long-run equilibrium price? c. Graphically depict the long-run equilibrium for an individual firm within this market.Consider the perfectly competitive market for steel. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MCMC), average total cost (ATCATC), and average variable cost (AVCAVC) curves shown on the following graph. The following diagram shows the market demand for steel. Use the orange points (square symbol) to plot the short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms. If there were 20 firms in this market, the short-run equilibrium price of steel would be per ton. At that price, firms in this…Suppose the market for peaches is perfectly competitive. The short-run average total cost and marginal cost of growing peaches for an individual grower are illustrated in the figure to the right. Assume that the market price for peaches is $30.00 per box. What is the profit-maximizing quantity for peach growers to produce? boxes. (Enter your response as an integer.) At this level of output, profit will be $. (Enter your response rounded to the nearest dollar.) Peach growers will earn positive economic profit in the short run at any market price above $ per box. (Enter your response rounded to one decimal place.) Price (dollars per box) 40- 36- 32- 28- 24 20 16- 12- 8 4- 10 MC 20 30 40 50 60 70 80 Output (boxes of peaches per day) ▬▬ ATC 90 100 Q
- 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?Suppose that each firm in a competitive industry has the following costs: where q is an individual firm’s quantity produced. The market demand curve for this product is where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. What is each firm’s fixed cost? What is its variable cost? Give the equation for average total cost. Graph average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is average-total-cost curve at its minimum? What is marginal cost and average total cost at that quantity? Give the equation for each firm’s supply curve. Give the equation for the market supply curve for the short run in which the number of firms is fixed. What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Calculate each firm’s profit or loss. Is there incentive for firms to enter or exit? In the long run with…Suppose the wholesale market for corn is a perfectly competitive market, and all firms in the corn industry are profit-maximizing firms. Consider that the market is in short-run equilibrium. Which of the following statements are correct? Choose one or more: A. Total costs for each firm in the market may be different. B. All firms in the market must be earning identical profits. C. All firms selling corn must have the same marginal cost, regardless of each firm's cost structure. D. Firms that choose not to sell in this market must be earning exactly zero profit. E. All firms in the market must be making either positive profits, or exactly zero profit.