A market contains many identical firms, each with the short run total cost function STC(Q) = 400 + 5Q + Q2, where Q is the firm's annual output (and all of the firm's $400 fixed cost is sunk). The market demand curve for this industry is Q = 262.5 - P/2, where P is the market price. Each firm in the industry is currently earning zero economic profit.
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A market contains many identical firms, each with the short run total cost function STC(Q) = 400 + 5Q + Q2, where Q is the firm's annual output (and all of the firm's $400 fixed cost is sunk).
The market demand curve for this industry is Q = 262.5 - P/2, where P is the market price. Each firm in the industry is currently earning zero economic profit.
How many firms are in the industry and what is the
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- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 1/2q2 Marginal cost: MC = q where q is an individual firm's quantity produced. The market demand curve for this product is Demand: QD where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market. = 120 – P а. What is each firm’s 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? с. Give the equation for each firm's supply curve. d. Give the equation for the market supply curve for the short run in which the number of firms is fixed. е. What is the equilibrium price and quantity for this market in the short run? In this equilibrium, how much does each firm produce? Calculate each firm's profit or ^ loss. Is there…Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 1/2q2 Marginal cost: MC = q Where q is an individual firm’s quantity produced. The market demand curve for the 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. What is each firm’s fixed cost? What is its variable cost? Give the equation for average total cost. Graph the average-total-cost curve and the marginal-cost curve for q from 5 to 15. At what quantity is the average-total-cost curve at its minimum? What is the marginal cost and average total cost at that quantity? Give the equation for each firm’s supply curve. Give the equation for the market supply curve for the short run in which the number of firms is fixed. What is the equilibrium price and quantity for the market in the short run? In this equilibrium, how much does each firm produce? Calculate the firm’s profit and loss. Do firms have…Assume that the market for Wheat is perfectly competitive in a country. Each firm operating in the Wheat market has the following cost curves: ATC(Q) = 1000/Q + 200 − 10Q + Q2/3, MC(Q) = 200 − 20Q + Q2, AV C(Q) = 200 − 10Q + Q2/3. The minimums of the cost curves are attained at the following quantity levels: MC attains its minimum at Q = 10 and MC(10) = 100, AVC attains its minimum at Q = 15 and AV C(15) = 125, and ATC attains its minimum at Q ≈ 19 (≈ denotes approximate equality) and ATC(19) ≈ 183. Based on the above information, answer the following questions. (a) What is the price level P ̄ for Wheat, such that any firm operating in this market chooses shut down below P ̄? Explain. (b) Assume the price of Wheat is 200. Calculate the quantity supplied by each firm operating in this market. Show your workings. (c) What is the equilibrium price in this market in the long run. Explain.
- Assume a competitive firm faces a market price of $100, a cost curve of: C = 0.25q + 50q + 1,600 and a marginal cost curve of: MC = 0.50g + 50. The firm's profit maximizing output level is 100.00 units, the profit per unit is $9.00, and total profit is: $900.00. However, if the firm wanted to maximize the profit per unit, how much would it produce? It would produce units. (round your answer to two decimal places) If the firm produced this output level, what would be the profit? Its profit would be S. (round your answer to the nearest penny)Assume that a competitive firm has the total cost function: TC=1q3−40q2+820q+1900 T C = 1 q 3 - 40 q 2 + 820 q + 1900 Suppose the price of the firm's output (sold in integer units) is $600 per unit. How many units should the firm produce to maximize profit? What is the total profit at the optimal output level? Please specify your answers as integers.Suppose that each firm in a competitive industry has the following costs: Total Cost: TC=50+12q2TC=50+12q2 Marginal Cost: MC=qMC=q where qq is an individual firm's quantity produced. The market demand curve for this product is: Demand QD=140−2PQD=140−2P where PP is the price and QQ is the total quantity of the good. Each firm's fixed cost is . What is each firm's variable cost? 50+12q50+12q 12q12q qq 12q212q2 Which of the following represents the equation for each firm's average total cost? 50q+12q50q+12q 50q50q 50+12q50+12q 12q12q Complete the following table by computing the marginal cost and average total cost for qq from 5 to 15. q Marginal Cost Average Total Cost (Units) (Dollars) (Dollars) 5 12.50 6 11.33 7 10.64 8 10.25 9 10.06 10 10.00 11 10.05 12 10.17 13 10.35 14 10.57…
- In a certain perfectly competitive market, there are 150 firms, and the short-run total cost function of each is given by Short Term Total Cost (q) = 3q³ - 16q² + 40q + 432 (note that "q" is the quantity produced by the firm). Besides that, any firm (active or potential entrant) can produce according to the total cost function Short Term Total Cost (q) = 2q³ - 16q² + 148q (desconsidering the entrance or exit of firms). Furthermore, the inverse aggregate demand function of this market corresponds to Pd(Q) = 676 - 0.56Q (which "Q" is the total quantity demanded). Based on this information, please check True or False in the arguments below: 1-The profit that each producer makes in the short-run competitive equilibrium is greater than the profit that each producer makes in the long-run competitive equilibrium. True or False? 2-In the long-term competitive equilibrium, there are 200 active firms in this market. True or False? 3-The price p* = 105 and the quantity Q* = 750 composes the…Consider the market for ice cream. Suppose that this market is perfectly competitive. The cost structure of the typical ice cream producer is as follows. Average total cost is equal to 50 1 1 ATC(Q) +÷Q, average variable cost is equal to AVC(Q) Q, and marginal cost is equal to 2 2 MC(Q) = Q. 40 Suppose that demand for ice cream cones is given by PD = x QD. 3 300 How many firms will operate in the market for ice cream in a long run equilibrium?Consider the following cost curve for a firm in a competitive industry where the market price equals $150. C =-9 + 6q + 1,500. What is the firm's marginal cost (MC)? MC =- (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) At what level of output does the firm maximize profits (minimize losses)? Profit is maximized at units of output. (Round your answer to two decimal places.) What is the firm's profit maximizing price? The profit-maximizing price is $. (Round your response to the nearest dollar.) What is the firm's profit? The firm earns a profit of $. (Round your response to the nearest penny.) In the short-run, this firm should DEC 20 étv MacBook Air 80 DII F2 F3 F4 F7 FB F9 @ %23 $ & 3 4 5 6 7 8 9 W E Y P S D F H J K ? C V N M command option nd .. .- リ * 00 R
- Every firm in the perfectly competitive gumball industry has the following long-run total cost function: TC = 0.2q³ – 4q² + 30q, where q is the output of each firm. The market demand for gumballs is of the form Qp = 100 – P, where Qp is the total amount demanded, and P is the market price. Firms are free to enter and exit the gumball industry in the long run. Each firm has the same U- shaped long-run Average Total Cost curve. A. Find the equation for the long-run average total cost and the long-run marginal cost. B. Find the long-run equilibrium level of output of each firm in the gumball industry. C. Find the long-run equilibrium price and the long-run equilibrium industry output level. D. How many identical firms will there be in long- run equilibrium? - 4q? %3DConsider the market for ice cream. Suppose that this market is perfectly competitive. The cost structure of the typical ice cream producer is as follows. Average total cost is equal to 50 1 1 ATC(Q) +÷Q, average variable cost is equal to AVC(Q) =;Q, and marginal cost is equal to 2 MC(Q) = Q. Now, suppose that a new scientific study comes out that shows that soil pollution from rock salt (a key input for making ice cream) is extremely hazardous to human health. In response, the government decides to impose harsh re-zoning restrictions on any land once used for making ice cream. This reduces the market rent for land used to make ice cream, which in turn lowers the opportunity cost of operating an ice cream factory. This reduction in the opportunity cost of capital causes the total fixed cost of ice cream production to fall to 32, but there is no change to variable cost. Give formulas for the typical ice cream producer's new average total cost curve ATC(Q) and marginal cost curve MC(Q).Consider a firm in a Perfectly Competitive industry. Suppose the price in this industry is $22. The total cost (TC) function for each firm is TC = 0.1q^2 + 120. If the marginal cost (MC) function for the firm is MC = 0.2q, what is the profit maximizing quantity for the firm to produce? 0 22 110 120