competitive market price is $60, and a competitive firm’s total costs = q^2 - 6q + 990 and marginal cost = 2q - 6. a. Solve for the profit-maximizing (or loss minimizing) quantity (q*). b. What is the market equilibrium price? c. Should the competitive firm produce q*? Explain why using one of the four key questions and solutions. d. Does the competitive firm make a profit
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Suppose the competitive market price is $60, and a competitive firm’s total costs = q^2 - 6q + 990 and marginal cost = 2q - 6.
a. Solve for the profit-maximizing (or loss minimizing) quantity (q*).
b. What is the
c. Should the competitive firm produce q*? Explain why using one of the four key questions and solutions.
d. Does the competitive firm make a profit? Explain why using one of the four key questions and solutions.
e. How much profit (or loss) does the competitive firm make?
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- Assume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. a.Approximately where do you think the price will end up in this market over the long run? b.Last, instead of assuming a given price, how would you go about finding the equilibrium price if you were given information on market demand?Based on the given graph:a. If this firm profit-maximizes, how much output will it produce and what price will it charge? b. When this firm profit maximizes, what (compute) is the firm’s profit or loss? Is this firm in a short run or long run equilibrium? Why? c. Does the firm minimize cost? Why or why not? How much excess capacity does this firm have?George Stigler, "Perfect Competition, Historically Contemplated," Journal of Political Economy,Vol. 55, No. 1, (February 1957), pp. 1-17. Despite the fact that few firms sell identical products in markets where there are no barriers to entry, economists believe that the model of perfect competition is important because A. economists prefer studying theoretical markets instead of actual markets. B. all markets eventually become perfectly competitive. C. it is a benchmark—a market with the maximum possible competition—that economists use to evaluate actual markets that are not perfectly competitive. D. this is the type of market that our business laws protect and promote.
- Will a profit-maximizing firm in a competitive market ever produce a positive level of output in the range where the marginal cost is falling? Give an explanation.1. Why is water, which is essential to life, so cheap, while diamonds, which are not essential to life, so expensive? Explain your answer using total utility (TU) and marginal utility (MU). 2. Discuss the advantages of perfect competition. 3. What is the shape and elasticity of the demand curve facing a perfectly competitive firm? Why? 4. How does the firm determine how much to produce in the short run?The graph shown below is that of Do Drop In, a shop in the dry-cleaning industry. a) At the optimal output, what price will Do Drop In charge and what will be its output? Price: $ Output: units b) At the optimal price and output, what will be its total revenue, total cost, and total loss? TR: $ ; TC: $ Total loss: $ c) If this firm made a rational decision to continue to produce, despite the loss, average variable cost must be below what level? AVC must be less than $ .
- Good Grapes is selling grapes in a purely competitive market. Its output is 5,000 pounds, which it sells for $5 a pound. At the 5,000-pound level of output, the average variable cost is $4.00, the marginal cost is $4.25, and the average total cost is $4.50 a pound. Should the firm increase output, decrease output, or not produce? Why? How should the firm determine the optimal level of output?Isabella grows pumpkins. Her average variable cost (AVC), average total cost (ATC), and marginal cost (MC) of production are illustrated in the figure to the right. 12.00- MC 11.00- Assume the market for pumpkins is perfectly competitive and that the market price is $5.00 per box. 10.00- ATC AVCE 9.00- If Isabella produces the profit-maximizing quantity of pumpkins, what will be her profits? 8.00- 7.00- Isabella will earn a profit of $ decimal places.) thousand. (Enter your response rounded to two 6.00- 8 5.00- What will Isabella's profit be if she shuts down in the short run and produces 4.00- nothing? 3.00- Isabella's profit will be $ places.) thousand. (Enter your response rounded to two decimal 2.00- 1.00- 0.00- Quantity (boxes in thousands) Price ($ per box)In the long-run equilibrium of a competitive market with identical firms, what are the relationships among price (P), marginal cost (MC), and average total cost (ATC)?
- Assume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. It may help to create your own cost table and fill in columns for Marginal Cost and Average Total Cost based on the Total Cost information below. a.What is the level of profit for this firm at the profit maximizing output? b.To convince yourself that the quantity you found is indeed the profit maximizing quantity, try calculating what the profit would be at the next higher level of output. What did you find? c. What do you predict will happen in this market over the long run?(a) Let the industry producing soybeans be in a long-run equilibrium. What is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel of soybeans? (b) Suppose that the demand for soybeans drops due to decreased im- port by China and becomes Q = 15.3 − p. In a new long run equilibrium, what is the equilibrium price of a bushel of soybeans? How many billions of bushels are produced? How many farmers are there in the industry? What is the shipping fee per bushel? (c) Calculate the change in the producers’ surplus between the situations described in (a) and (b). (d) Show that the decrease in the producers’ surplus equals to the decrease in the total shipping fees as the industry contracts incrementally from the equilibrium output in (a) to the equilibrium output in (b).A. If a firm operating in a perfectly competitive market doubles the amount it sells, what happens to the price of its output and its total revenue? B. How does a competitive firm determine its profit-maximizing level of output? When does a competitive firm decide to temporarily shut down in the short run? Explain, using the concepts of marginal cost, marginal revenue, price, and average variable cost.