Consider a perfectly-competitive industry where each firm has the following long run cost function C(q) = q3 − 12q2 + 105q, where q is the firm’s output. What is the long-run equilibrium price in this market?
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Consider a
C(q) = q3 − 12q2 + 105q,
where q is the firm’s output. What is the long-run
(Round your final answer to two decimal places, if necessary.)
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- 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 following cost curve for a firm in a competitive industry where the market price equals $150. C= =q° + 6q + 1,500. What is the firm's marginal cost (MC)? MC = 150. (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 12 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 shut down produce DEG tv 20 MacBook Air PII SO F11 F12 FS F10 F9 F6 F7 F2 F3 F4 & #3 $ 4 6 7 8 - 2 3 { E R Y P Q А F G H J K L D ? C V M command option command .. .- レ Λ.Consider a firm in a Perfectly Competitive industry. Suppose the price in this industry is $26. The total cost (TC) function for each firm is TC = 0.05q^2 + 1,080. If the marginal cost (MC) function for the firm is MC = 0.1q, a)what is the profit maximizing quantity for the firm to produce? b)what is the profit for the firm at the profit maximizing point?
- 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 RConsider 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 120Assume 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.
- Consider the following cost curve for a firm in a competitive industry where the market price equals $150. C = + 6g + 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 the nearest dollar.) What is the firm's profit? The firm earns a profit of $. (Round your response to the nearest penny.) In the short-run, this firm should shut down produce E 20 étv MacBook Air 80 DII DD F2 F3 F4 F8 ! @ # 2$ & 2 3 4 5 7 8 9 Q W E R Y P A S D F G H K C V B M ption command comman NA perfectly competitive firm’s short-run total cost curve is C(q)= 100q-4q2+0.2q3+450. What is the firm’s short-run supply curve? Determine also the output level over which the short-run supply curve is defined. How much output will the firm supply if price, p=75?Consider the following cost curve for a firm in a competitive industry where the market price equals $200. C= = √3/39³ + 4q + 750. 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.)
- Consider the perfectly competitive market for handmade rugs. The firms in this market are identical and each has a short-run total cost function equal to SRTC=200+5q+0.5q2, where q is the number of rugs a firm produces. The market price for each rug is equal to $15. Show your work to receive full credit. a) What is the equation for the firm's short-run marginal cost (SRMC) curve. Draw it on a graph with the marginal revenue (MR) curve. Calculate and mark on your graph the profit-maximizing q*. b) Write the equation for the short-run average total cost curve (SRATC) and solve for its value evaluated at q* (SRATC*). Draw the SRATC and mark SRATC* on your graph from part (a). c) Write the equation for the short-run average variable cost curve (SRAVC) and solve for its value evaluated at q* (SRAVC*). Draw the SRAVC and mark SRAVC* on your graph from part (a). d) Calculate the firm’s economic profit when they produce at q*. Shade the area that represents profit on the graph you drew above.…The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=334+q^2 and Marginal Cost curve MC=2a. Market demand is Q=807-2P. If the Marginal Cost for every firm decreases by $10 at every quantity, what is the short-run market price? (You can assume that MC>=AVC at every quantity for this question).Problem IV: A perfectly competitive firm has a total cost function given by T C(Q) = 2Q3 – 20Q2 + 100Q. a) What will be the optimal quantity produced by the firm if the market price is P = 300? What will be the profit? (Q=10, Profit=2000) b) How about if the market price is P = 45? What will be the optimal quantity and profit in this case? (Q=0, Profit=0) c) Find the break even point and the shut down point. (50) d) Assuming the initial market price of $300, what will be the optimal quantity and profit if a new fixed cost of $1000 has to be incurred by the firm? How about if this FC=$3000?