29. Consider a perfectly competitive industry in which each firm has the total cost function tc = q - 6q +13q, where q is the quantity of output produced by the firm. Each firm has the marginal cost function mc = 3q? – 12q + 13. Suppose the demand curve for the industry's total output is P = 64 – .1Q, where P is price and Q is the industry's total output. In equilibrium, the number of firms in the industry is %3D -
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- Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost: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.1. Give the equation for the market supply curve for the short run in which the number of firms is fixed.2. What is the equilibrium price and quantity for this market in the short run?3. 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?4. In the long run with free entry and exit, what is the equilibrium price and quantity in this market?5. In this long-run equilibrium, how much does each firm produce? How many firms are in themarket?17.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 constant cost industry. d. What would the…Each firm in a competitive market has a cost function of C= 10g - 49² +g°. There are an unlimited number of potential firms in this market. The market demand function is Q= 34 -D. Determine the long-run equilibrium price, quantity per firm, market quantity, and number of firms. The long-run equilibrium price is $ (Enter your response as a whole number.) DEC 13 O tv MacBook Air 80 DII esc F1 F2 F3 F4 F5 F6 F7 FB @ $ % & 1 2 3 4 7 8. Q W Y tab S J caps lock C M. control option command つ エ > *: レ
- Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost: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.b. Graph average-total-cost curve and the marginal-cost curve for qfrom 5 to 15. Atwhat quantity is average-total-cost curve at its minimum? What is marginal cost and averagetotal cost at that quantity?c. Give the equation for each firm's supply curve.d. Give the equation for the market supply curve for the short run in which the number of firms is fixed.e. What is the equilibrium price and quantity for this market in the short run?f. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to…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…4.5 Show that the long-run equilibrium number of firms is indeterminate when all firms in the industryshare the same constant returns-to-scale technology and face the same factor prices.4.7 Technology for producing q gives rise to the cost function c(q) = aq + bg. The market demand forqisp =a - Bq.(a) If a>0, if b < 0, and if there are J firms in the industry, what is the short-run equilibriummarket price and the output of a representative firm?b) Ifa> 0 and b <0, what is the long-run equilibrium market price and number of firms? Explain.() Ifa>0and b > 0, what is the long-un equilibrium market price and number of firms? Explain.
- The graph shows the demand curve (D), average total cost curve (ATC), average variable cost curve (AVC), and the 90 - marginal cost curve (MC) for a perfectly (or purely) 80 - competitive firm. D= MR 70- Assuming that this firm maximizes profit, what is this firm's profit? 60 - ATC 50 AVC profit: $ 40 40- 30- MC 20 - 10- 40 10 20 30 50 60 70 80 90 Quantity Price and cost ($)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…Consider the market for solar power. Assume the market is perfectly competitive and initially in long-run equilibrium; solar power sells for $.25 per kwh (kilowatt hour, a unit of power). Draw 2graphs, one to represent the market (supply and demand), and one to represent a single firm (demand, marginal cost, and average cost curves). Assume a u-shaped average cost. Show the equilibrium price and the quantity produced by the market (Q) and by each individual firm (q). Next, to encourage conservation, Congress taxes all forms of energy EXCEPT solar power, causing an increase in the demand for solar. Show what happens to the market and the firm in the short run; indicate clearly what happens to price, quantity, and profit. What happens to the market and the firm in the long run? Indicate clearly what happens to price, quantity, and profit, for each the market and the firm.
- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 1/2q2 Marginal cost: MC = q Where q is an individual firm’s quantity produced. The market demand curve for the 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. What is each firm’s fixed cost? What is its variable cost? Give the equation for average total cost. Graph the average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is the average-total-cost curve at its minimum? What is the 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 the market in the short run? In this equilibrium, how much does each firm produce? Calculate the firm’s profit and loss. Do firms have…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 the market demand for a product is given by ( A > 0 and B > 0). Suppose QABP=-also that in a competitive industry the typical firm’s cost function is given by (k > 2()Cqkaqbq=++0, a > 0 and b > 0).(a) Calculate the long-run equilibrium market price and the output for the typical firm. (b) Calculate the equilibrium number of firms in the market.(c) Describe how changes in the demand parameters A and B affect the equilibrium number of firms in this market. Explain your results intuitively.