Production, Costs, and Perfect Competition: Firm in the Short Period a. data (1) K = 7 and the price of capital = $2.00 (2) quantity produced 0 1 2 3 4 5 6 7 labor input 0 2 5 9 14 20 27 35 price of labor = $2.00 If the market price is $2.00, how much would the firm supply and what would be its economic profits? (5) Derive the firm’s supply curve and explain its shape
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Production, Costs, and
a. data
(1) K = 7 and the
(2) quantity produced 0 1 2 3 4 5 6 7
labor input 0 2 5 9 14 20 27 35
price of labor = $2.00
If the market price is $2.00, how much would the firm supply and what
would be its economic profits?
(5) Derive the firm’s supply curve and explain its shape
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- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + q2 Marginal cost: MC = q where q is an individual firms quantity produced. The market demand curve for this product is Demand:QD = 120 P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. a. What is each firms fixed cost? What is its variable cost? Give the equation for average total cost. b. Graph average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is average-total-cost curve at its minimum? What is marginal cost and average total cost at that quantity? c Give the equation for each firms supply curve. d. Give the equation for the market supply curve for the short run in which the number of firms is fixed. e. What is the equilibrium price and quantity for this market in the short run? f. In this equilibrium, how much does each firm produce? Calculate each firms profit or loss. Is there incentive for firms to enter or exit? g. In the long run with free entry and exit, what is the equilibrium price and quantity in this market? h. In this long-run equilibrium, how much does each firm produce? How many firms are in the market?Sunrise Juice Company sells its output in a perfectly competitive market. The firm's total cost function is given in the following schedule: Output Total Cost (Units) ($) 0 50 10 120 20 170 30 210 40 260 50 330 60 430 Total costs include a "normal" return on the time (labor services) and capital that the owner has invested in the firm. The prevailing market price is $7 per unit. (a) Prepare (i) marginal cost and (ii) average total cost schedules for the firm. (b) What is the firm's profit maximizing output level? (c) Is the industry in long-run equilibrium? Justify your answer.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.
- The following table gives information about a firm’s short-run cost function in a perfectly competitive industry – candy manufacturing. a) What quantity will the firm supply when price of candy is $2? When price is $5? When price is $8? b) Consider the case where price = $2. Suppose that you have been renting capital (a candy-making machine) for a long time under a long-run capital rental agreement, but now the rental contract is about to expire. Should you renew your capital rental contract or not? Explain why or why not. How would your answer change if price is $5? How would your answer change if price is $8? Quantity Total Cost Average Variable Cost Average Total Cost Marginal Cost 0 10 1 15 5 15 5 2 17 3.5 8.5 2 3 18 2.66667 6 1 4 20 2.5 5 2 5 25 3 5 5 6 33 3.83333 5.5 8Consider the following cost information for a firm that operates in a perfectly competitive market. Q (quantity of output) Total cost ($) 0 100 3 140 6 200 9 290 12 410 15 560 18 740 (1) Construct a column for the marginal cost. (2) As the firm increase the output from 9 unit to 12 units, does the marginal product of labor rise or fall? Explain the reason. (3) Suppose that the market price is $50. How many units of output should the firm produce in the short run?a) Find the long run equilibrium price. Find the minimum efficient scale of the typical firm. Find the typical firm’s average cost when it operates at minimum efficient scale. In the long run, what price will prevail in this market? In words, clearly justify your answer. Suppose demand is QD = 3,200 – 100P. (b) Explain why you expect the number of firms in this market to be fifty-five. In this market, what is the short run supply function of the typical firm? What is the short run market supply function? Suppose the local government introduced a $90 licensing fee that raised the fixed cost from $160 to $250. c) Would the introduction of the licensing fee affect the short run equilibrium price or quantity? Justify your answer? Clearly explain why you expect that in the long run fewer larger firms will operate in this market. After the introduction of the licensing fee, what is the new long run equilibrium price? How many firms will survive in this market?
- 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…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,…(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
- In a perfectly competitive market there is a donut shop that sells 1,200 donuts daily. Each donut sells for the market price of $0.75 and they sell out every day. Assume that this company has labor costs of $275 and materials costs of $400. a. At what price would this donut shop shutdown in the short run? b. Using only variable costs, what is the donut shop’s daily profit? - Now assume that the owner is thinking of adding a second location downtown. The capital investment required is $4,000. The normal rate of return is 5%. c. If the new shop could operate under the same conditions as the original location is it a good business decision to expand?[TRUE / FALSE] Please explain In the real-world, marginal cost curve is usually U-shaped.Therefore, in a perfectly competitive market, a firm can maximize profit at two different output levels in the short-runExplain whether the statement is valid on not. There are perfect knowledge among the buyers and sellers in a perfectly competitive market