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- Suppose 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?9.- A competitive firm reaches the minimum of the long-run average cost for y = 20 when it operates with the short-run cost function C = yi3-20yi2 + 100yi + 8000, where yi is the production of the firm. Then the long-run price equilibrium will be 500. If the government imposes a specific tax on output of 40 euros, what are the taxes collected by the government in the short-run and in the long-run, if the market demand is given by x = 2500 - 3p, where x is the quantity demanded by consumers and p is the price? Will the government collect more or less taxes in the long-run than in the short-run? Why?1- Suppose that the total cost function of a firm is given as follows;TC = 500 + 2Q2And the price of the firm’s product is determined by the market equilibrium at $100.a- Set the profit maximizing condition . Find the profit maximizing output level for this firm .b- What is the total revenue ?c- What is the total cost ?d- What is the profit earned by the firm ?e- Illustrate your answer by using a well-labeled graph .f- Denote the break even price level with Pb on the same graph .g- Denote the shut down price level with Ps on the same graph.h- Show the firm’s supply curve on the same graph .i- Does the firm function in short-run or long-run ? Why ?
- 7. Short-run supply and long-run equilibrium Consider the competitive market for titanium. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph. The following diagram shows the market demand for titanium. Use the orange points (square symbol) to plot the initial 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 titanium would…7. Short-run supply and long-run equilibrium Consider the competitive market for copper. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph. The following diagram shows the market demand for copper. Use the orange points (square symbol) to plot the initial 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 copper would be ___ per…7. Short-run supply and long-run equilibrium Consider the competitive market for copper. Assume that, regardless of how many firms are in the industry, every firm in the industry is identical and faces the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves shown on the following graph.
- (1) Consider the following cost schedule for a firm. Quantity Marginal Cost Average Total Cost Average Variable Cost 10 $12 $32 $24 15 $14 $30 $20 20 $16 $28 $16 25 $26 $26 $20 30 $30 $28 $24 35 $40 $32 $30 What is the economic profit or loss for a perfectly competitive firm if the market price is $26? A-0. B- $20. C- negative $20. D-$150. E-negative $150 (2) At what price level would a firm's short-run supply curve begin? A-The price at the minimum of the average variable cost curve B-The price at the profit-maximizing point of production C-The price at the intersection of the average total cost curve and the marginal cost curve D-The price at which demand changes from its elastic to inelastic range E-The price at which marginal cost equals marginal revenue13. Suppose a representative firm in a perfectly competitive industry has the following totalcost of production in the short run: TC=Q^3-40Q^2+600Q.a. What will be the long run equilibrium quantity for the firm? What will be the longrun equilibrium price in this industry?b. Let the industry demand be given by QD=12400-4P. How many firms will be activein the long-run equilibrium?c. Suppose the firm faces a positive demand shock that increases the industry demandto QD=16000-4P. Describe how the industry would respond and calculate thechange in the number of firms.11. The graph below shows the marginal revenue, marginal cost, and average total cost at different quantities for a firm in a perfectly competitive market. If this firm chooses to produce no output in the short run, what must the market price be? A-Below $20 $21-$30 $31-$40 $41-$50 Above $50 7. firm's implicit costs are $10,000, explicit costs are $5,000, and its total revenue is $10,000. This firm is earning A-normal accounting profit B-positive accounting profit of $5,000 C-positive economic profit of $5,000 D-normal economic profit E-negative accounting profit of $5,000
- Use the following demand-and-cost information vis-à-vis three firms: Firm A, Firm B and Firm C operating in three different market structures in the short run, to answer the questions that follow. Firm A Firm B Firm C Price where output is equal to zero (R) 2000 1500 60 Profit maximising price (R) 1000 ? 60 Profit maximising output level (units) 30 50 2500 MC at profit maximising output level (R) ? 275 60 ATC at profit maximising output level (R) 1300 ? 36 AVC at profit maximising output level (R) 900 300 ? Minimum ATC (R) 1200 320 30 Minimum AVC (R) 800 280 3 Price at allocative efficient output level (R) 160 580 ? Allocative efficient level of output (units) 150 200 2500 Lerner index 0.8 ? 0 Total Fixed Cost (R) ? 2000 75000 Total Variable Cost at profit maximising output level (R) 27000 15000 ? Mark-up ? 4 ? Calculate each of…Question 23 A competitive firm has a total cost function in dollars of the form C(q)= 100–4q + q^2, where q is output. Suppose the market price is $10 per unit of output. What is the firm’s short run point elasticity of supply? a) 20/7 b) 5/7 c) 10/7 d) 0.5 e) 217.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…