In a perfectly competitive and constant cost industry, all firms are identical. If the market demand function is: Qº = 100 – P, a typical firm's cost function is: TC = a. In the long run, what is the typical firm's supply curve/function? b. In the long run, what is the market equilibrium price and quantity? c. In the long run, what is the whole industry's long run supply 10q – 4q² + q³. curve/function?
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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?1. A firm in a perfectly competitive industry has fixed costs of FC = 15, marginal costsof MC = 5 + 14q, and average variable costs of AVC = 5 + 7q.(a) What are the firm's variable costs (VC)?(b) What is the firm's total cost function? (0) If the price is $75, how much does the firm supply? (d) Does the firm continue to supply this quantity in the short-run? (e) Suppose there exists a standard market demand function from consumers(downward slopping). Please provide a logical discussion about how the marketachieves short-run equilibrium.(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 revenue
- A firm in a perfectly competitive industry has fixed costs of FC = 15, marginal costs of MC = 5 + 14q, and average variable costs of AVC = 5 + 7q. (a) What are the firm’s variable costs (VC)? (b) What is the firm’s total cost function? (c) If the price is $75, how much does the firm supply? (d) Does the firm continue to supply this quantity in the short-run? (e) Suppose there exists a standard market demand function from consumers (downward slopping). Please provide a logical discussion about how the market achieves short-run equilibrium.E3 Consider a perfectly competitive firm in a short run scenario. Its total cost function is TC(q)= 4q^2 + 8. The market demand function is Q(p) = 800 - 15p, and there are 40 identical firms in the market. A. What is a firm's short-run supply function? Will it ever decide to shut down? Explain. And what is the market supply function? B. Suppose there are 40 identical firms in the market. What is the equilibrium price, p*? What is the equilibrium quantity supplied by each firm, q*? What is each firm's equilibrium profit? Will there be more entry into the market? Why? C. Repeat b, but with 80 firms this time. Label your results with superscript ** D. Repeat part b, but with 280 identical firms now. Label your results by superscript ***. Part E. Compare your results in parts b - d. Explain why the increase in the number of firms affects the results in that manner. What should happen to profit eventually as the number of firms keeps increasing? And when this happens to profit,…Assume that a firm in a perfectly competitive industry has the following total cost schedule:OUTPUT (UNITS) TOTAL COST ($) 10 110 15 150 20 180 25 225 30 300 35 385 40 480a. Calculate a marginal cost and an average cost schedule for the firm. b. If the prevailing market price is $17 per unit, how many units will be produced and sold? What are profits per unit? What are total profits? c. Is the industry in long-run equilibrium at this price?
- 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?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.Q -1: For an individual firm in a perfectly competitive market, let its cost function bec(y) = 8y2 + 5y + 6.a) Determine the firm’s marginal cost, average total cost, average fixed cost, and average variable cost in terms of the market price, p. Answers should not be in terms of quantity y.b) What is the firm’s short-run shutdown condition?c) Find the firm’s short-run shutdown price ˆp. That is, if the market price falls below ˆp, the firm will shutdown.
- A perfectly competitive industry consists of many identical firms, each with a long-run total cost function of TC = 500Q-20Q^2+0.5Q^3. a. In long-run equilibrium, how much will each firm produce? b. What is the long-run equilibrium price? c. The industry's demand curve is ?? = 48,000 − 60?. How many firms are in the I ndustry? d. If the industry demand decreases to ?? = 30,000 − 80? how will the industry respond?A perfectly competitive industry has a large number of potential entrants. Each firm has an identical cost structure such that long-run average cost is minimized at an output of 20 units (qi) =20. The minimum average cost is $10 per unit. Total market demand is given by ? = 1,500 − 50?a. What is the industry’s long-run supply schedule?b. What is the long-run equilibrium price (p*)? The total industry output (Q*)? The output of each firm (O*)? The number of firms? The profits of each firm? c. The short-run total cost function associated with each firm’s long-run equilibrium output is given by ?(?) = 0.5?2 − 10? + 200Calculate the short-run average and marginal cost function. At what output level does short run average cost reach a minimum? d. Calculate the short-run supply function for each firm and the industry short-run supply function.e. Suppose now that the market demand function shifts upward to Q =2,000 - 50P. Using this new demand curve, answer part (b) for the very short run…2) Cost functionsConsider the following total cost function for an individual firm: C(q)= 10 +q + ¼ q^2 a- At what level of output is average cost at its lowest?b- Draw a graph showing firm average cost against quantity.c- Suppose that there is an industry with two identical firms, with this cost function. What is the industry total cost curve? What is the industry marginal cost curve?d- Suppose these two firms together act in a perfectly competitive manner. What is the price level in the case where these firms act perfectly competitively? What are the profits of the firms given perfectly competitive pricing?