2. Consider a competitive market where there are two types of firms, Type A and Type B, with total cost functions TCA(@) =2+ 4q + 2g TC (4) = 3+9+5 %3D (a) Derive the short-run supply curve for each firm type. (b) What is the short-run market supply, if there are 8 Type A firms, and 6 Type B firms? (c) What is total quantity produced when p-5? (d) How does your answer at (c) change if we consider long run supply rather than short run? Here, assume again that pa5 and that there are 8 Type A firms and 6 Type B firms.
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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?Productive efficiency and allocative efficiency are two concepts achieved in the long mm in a perfectly competitive market. These are the two reasons why we call them perfect. How would you use these two concepts to analyze other market structures and label them imperfect?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 Monoploy
- 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…A small firm operating in a purely competitive market has fixed costs of $45 per day compensates each employee $96 per day and has daily input and raw material costs as indicated in the table below. A. What would be the profit maximizing level of production if demand increased such that each unit sold for $130?, will the company make an economic profit producing this quantity of output? b: suppose the demand significantly decreased so that price for a unit of ouput sold to $115 each. What should the firm do? Why?Suppose you are a perfectly competitive firm producing computer memory chips. Your production capacity is 1000 units pe r year. Your marginal cost is P10 per chip up to capacity. You have a fixed cost of P10,000 if production is positive and P0 if you shut down. What are your profit-maximizing levels of production and profit if the market price is (A) P5 per chip, (B), P15 per chip, and (C) P25 per chip? For case (B), explain why production is positive even though profits are negative.
- 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) 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 revenue2. 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?
- 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.17th Assignment Consider a representative firm with total costs of TC = 16 + 1/Q ^ 2 (and a marginal cost of Q, MC = 1/2 * Q ) The market demand curve is given by P = 10 - 1/A * C and the starting market price is $2. 1) Graph the starting scenario using comparative statics. 2) Calculate any profit or loss. Why is this not a long run equilibrium? 3) What happens in order to transition to the long run? 4) Graph the long run equilibrium using comparative statics. 5) How many firms are in the market in the long run?.Which of the following statements is false? 9) a. A profit maximizing firm still sets output such that marginal revenue equals marginal cost. b. In the long run, a firm maximizes profits when marginal revenue = marginal cost. c. In the long run, a firm's supply curve is represented by the marginal cost curve above the long-run average variable cost curve. 10. Assume the market for wheat is perfectly competitive and currently in equilibrium. If the demand shiftsupward while the supply remains the same then: a. we can be certain the equilibrium price will decrease.b. we can be certain both the equilibrium price and quantity will increase.c. we can be certain the equilibrium quantity will decrease.