Suppose that the manager of a firm operating in a competitive market has estimated the firm's average variable cost function to be AVC = 10 – - 0.03Q + 0.00005Q² Total fixed cost is $600. a. What is the corresponding marginal cost function? b. At what output is AVC at its minimum? c. What is the minimum value for AVC?
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- a) How do you derive the marginal cost (MC) curve of a firm?b) How are average variable cost (AVC) and marginal cost (MC) curvesrelated? Explain.For a firm with a Total Cost function TC C(Q), recall that the definitions of Marginal Cost (MC) and AverageTotal Cost (ATC) are given as follows:Marginal Cost (MC) = C'(0)Average Total Cost (ATC) = C(Q)/QProve that the marginal cost is equal to the average total cost (MC = ATC) when the average total cost is at itsminimum value.(Hint: By using the definition of average cost function, find the quantity that minimizes it by applying unconstraint optimization.Show that the FOC of the minimization problem implies that MC=ATC has to be satisfied at the minimum level of average cost.)a) Suppose in the short-run, the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? Using an isoprofit line, as well as the production function, draw a diagram of your solution and label all the intercept and slopes b) In the long-run, how many mixers should she use? How many machines? How many baklavas will she make? c) Suppose that the government decides to provide a $1 subsidy per mixer. What is the profit-maximizing amount of each input to use now?
- A perfectly competitive industry currently has 100 identical firms in the short run, each of which has fixed costs of S8 and average variable costs as follows: Quantity Total cost Average variable cost Marginal cost Average total cost N/A N/A N/A 1 4 7 6 11 a) Complete the above table by computing the total cost, marginal cost, and average total cost for each quantity from 1 to 6. Submit the completed table in your answer. b) Suppose the market equilibrium price is currently $15. How much will each firm produce in the short run? What is the aggregate supply in this market in the short run? c) The initial market equilibrium price is still $15, but we now consider what will happen in the long run, when firms can freely enter and exit the market. Suppose that all entrants have the same costs, and that these costs are as in the previous table. As this industry makes the transition from short run equilibrium to its long-run equilibrium, how will the new equilibrium price change? Will it…Show the effect of diminishing returns on the marginal and average cost curves of a firm in the short-run. (be sure to explain your diagrams)We expect the marginal cost to increase as this firm produces more computers. But when the firm shifts from producing 1 to 2 computers, marginal cost falls. What might explain this?
- Suppose Honda's total cost of producing 4cars is $225000and its total cost of producing 5cars is $250000 .what is the average total cost of producing 5cars? What is the marginal cost of the fifth car? Draw the marginal cost curve and the average cost curve for a typical firm and explain why these curves cross where they do.The graph below shows the marginal cost (MC), average variable cost (AVC), and average total cost (ATC) curves for a firm in a competitive market. These curves imply a short-run supply curve that has two distinct parts. One part, not shown, lies along the vertical axis (quantity-0); this represents a condition of production shutdown. Where is the other part? Use the straight-line tool to drawit. To refer to the graphing tutorial for this question type, please click here Price and cost 18 15 14 13 12 10 19/21 SUBMIT ANSWER 13 OF 21 QUESTIONS C OMPLETED 28 MacBook Pro 금□ F7 F8 F9 F1o F2 F3 F5The table below shows the short-run cost data of a perfectly competitive firm that produces plastic camera cases. Assume that output can only be increased in batches of 100 units. Quantity 0 It must fall. 100 200 300 400 500 600 It must rise to offset the increased cost. Total Cost Variable Cost (dollars) (dollars) $1,000 $0 1,360 360 1,560 560 1,960 2,760 4,000 5,800 Suppose the fixed cost of production rises by $500 and the price per unit is still $8. What happens to the firm's profit-maximizing output level? The firm will shut down. O It will remain the same. 960 1,760 3,000 4,800
- Answer the following under the assumption that the firm has increasing marginal costs: The long-run average cost curve is.... If marginal cost is equal to average cost, the average cost at this point must be... As a firm increases output, long-run average costs typically....Problem 2.5 The cost function for Acme Laundry is TC(q) = 10 + 10q + q^2 so its marginalprod cost function is MC(q) = 10 + 2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?The table below shows the short-run production function for Michelle's Accounting Company. Number of Bookkeepers Total Product per Hour 1 8 2 20 3 40 4 55 5 65 6 70 7 65 8 55 (a) After which bookkeeper do diminishing marginal returns begin for Michelle's Accounting Company? Explain using numbers. (b) Assume Michelle's Accounting Company sells its accounting services in a perfectly competitive market at a price of $20. Calculate the marginal revenue product of the sixth bookkeeper. Show your work. (c) Michelle's Accounting Company hires bookkeepers in a perfectly competitive labor market for bookkeepers at a wage rate of $110 per hour, and the market price of services remains $20. How many bookkeepers will Michelle's Accounting Company hire to maximize its profit? Explain using marginal analysis. (d) Assume bookkeepers and accounting software are substitutes in providing accounting services by all accounting firms in the market. If accounting software, a…