Suppose a firm operating in a competitive market has the following cost curves: Price MC ATC AVC P4 P3 P2 P1 Q1Q2 Q3 Q4 Q5 Quantity Refer to Figure 14-4. When price falls from P3 to P1, the firm fınds that it should shut down immediately. should produce Q1 units of output. should produce Q3 units of output. decreases its fixed costs.
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- Return to Figure 9.2. Suppose P0 is 10 and P1 is 11. Suppose a new firm with the same LRAC curve as the incumbent tries to bleak into the market by selling 4,000 units of output. Estimate from the graph what the new firms average cost of producing output would be. If the incumbent continues. to produce 6,000 units, how much output would the two films supply to the market? Estimate what would happen to the market price as a result of the supply of both the incumbent firm and the new entrant. Approximately how much profit would each firm earn? Figure 9.2 Economics of Scale and Natural MonoploySuppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + q2 Marginal cost: MC = q where q is an individual firms 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 firms 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 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? c Give the equation for each firms 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 firms profit or loss. Is there incentive for firms to enter or exit? g. In the long run with free entry and exit, what is the equilibrium price and quantity in this market? h. In this long-run equilibrium, how much does each firm produce? How many firms are in the market?If new technology in a perfectly competitive market brings about a substantial reduction in costs of production, how will this affect the market?
- Suppose the short-run demand for a product is give byQD= 200−2P. Supposethe short-run supply curve isQD= 3P−50. (a) What is the market clearing, or competitive equilibrium price and quan-tity. (b) If the existing firms’ average total cost is 40, and the industry is a perfectlycompetitive, constant returns to scale industry, in the long run willpricerise or all? Explain.Short-run supply and long-run equilibrium Consiber the competitive market for rhodium. Assume that no matter how many firms operate in the induatry, every firm is identical and faces the same marpinal cost (MC), averapt total cost (ATC), and average variable cost (AVC ) curves plotted in the following praph. The following graph plots the market demand curve for thodium. If there were 10 firms in this market, the short-run equilibrium price of rhodium would be per pound. At that price, firms in this industry would. Therefore, in the long run, firms would the rhodium market. Because you know that competitive firms earn economic profit in the long run, you know the long-run equilibrium price must be per pound. From the graph, you can see that this means there will be firms operating in the rhodium industry in long-run equilibrium. True or False: Assuming implicit costs are positive, each of the firms operating in this industry in the long run earns positive accounting profit. True FalseSuppose that each firm in a competitive industry has thefollowing costs: Total cost: TC=50 + 1/2q^2 Marginal cost: MC=q where q is an individual firm’s quantity produced. The marketdemand 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 curvefor q from 5 to 15. At what quantity is average total cost curve atits minimum? What us marginal cost and average total cost at thisquantity? c. Give the equation each firm’s supply curve. d. Give the equation for the market supply curve for the shortrun in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market inthe short run? f. In this equilibrium, how much does each firm produce?Calculate each firm’s profit or loss. Is there incentive for…
- Suppose a perfectly competitive firm is operating in short run. The information of MR, Q,ATC and AVC are 15 taka, 60 unit, 45taka and 35 taka respectively. Calculate firm’sprofit/loss and total fixed cost. From these calculations and based on all the giveninformation, can you conclude about the firm’s decision in short run? Explain your reasoningwith the help of a suitable diagram. Show all the relevant information in yourdiagram.[Q=profit maximizing output and MR=marginal revenue]A price-taking firm in a competitive industry of a good that is continuously divisible (like sand) has a total cost function TC(Q) = 3.5Q^2 + 100Q + 500. The market price for the good is p = $240. a: Carefully write out this firm’s profit maximization problem, using the particulars of thisproblem. b: Give the marginal condition (equation) that characterizes the solution to this problem. Solvethis condition for the firm’s optimal quantity Q*. c: Calculate the firm’s maximized profit. d: On a graph with quantity on the horizontal axis, neatly plot the marginal revenue curve andmarginal cost curve. Show Q* on your graph. e: Label areas on your graph using a, b, c, etc. and indicate the areas that correspond to totalrevenue and variable cost.Please no written by hand solutions 7If SRTC 200+2q+4qwhere q is output, the firm's short-run supply function is a.P = 2 + 8q for P >= 2 and zero otherwise b. q = 0 P < 2; 0.125P - 0.25 P >= 2 c.P = 2 + 8a for p > 0 and zero otherwise. d.q = 0 P < 0; 0.125P - 0.25 P >= 0 8 Each firm in a perfectly competitive market has long-run average total cost represented as ATC+100/q. Long-run marginal cost is MC = 200q - 10 The market demand is O^ prime =215 dot 0 * 5P . At the long-run equilibrium price, how many firms are in the market? a= 500 b. n = 1000 c. n = 1200 d.n-2000 e.n = 2400
- A local pizza shop has hired you as a consultant to help it compete with national chains inthe area. Because most business is handled by these national chains, the local shop operates asa price taker. Using historical data on costs, you find that short-run total costs each day aregiven bySTC = 10 + q + 0.1q^2,where q is daily pizza production.a. What is this pizza shop’s short-run supply curve?b. If the market price is $5.00, what is the pizza shop’s daily production quantity andprofits?c. Suppose the pizza shop wants to know the lowest price such that it can breakeven (i.e., maintaining a net profit of zero). Please help the firm find this priceAn industry currently has 100 firms, each of whichhas fixed cost of $16 and average variable cost asfollows:Quantity Average Variable Cost1 $12 23 34 45 56 6a. Compute a firm’s marginal cost and average totalcost for each quantity from 1 to 6.b. The equilibrium price is currently $10. How muchdoes each firm produce? What is the total quantitysupplied in the market?c. In the long run, firms can enter and exit themarket, and all entrants have the same costs asabove. As this market makes the transition to itslong-run equilibrium, will the price rise or fall?Will the quantity demanded rise or fall? Will thequantity supplied by each firm rise or fall? Explainyour answers.d. Graph the long-run supply curve for this market,with specific numbers on the axes as relevant.Assume a purely competitive increasing cost industry is intislly long eun equilibrium producing 10 million units atca market price of $5.00. Supoose that increaae in consumer demand occurs. After all economic adjustments have been completed which output and price combination is most likely to occur ? 9.5 units at a price of $4.50 11 units at a price of $4.75 9 units at a price of $5.25 12 units at a price of $5.50