A firm in a competitive market has the following market price P = 5000, and the following marginal cost curve MC(Q) = 13Q3 and a fixed cost of FC = 100. What is the profit maximizing quantity of production for this firm?
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A firm in a competitive market has the following market price P = 5000, and the following marginal cost curve MC(Q) = 13Q3 and a fixed cost of FC = 100. What is the profit maximizing quantity of production for this firm?
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- Consider the following graph of the average and marginal cost functions for a firm in a perfectly competitive market. At a price of P=10: (iii) the marginal cost of production is . (iv) the firm's total profit is . (v) the firm's variable profit is .Problem 2.5 The cost function for Acme Laundry is TC(q) = 10 + 10q + q^2 so its marginal 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?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?
- A firm sells its product in a perfectly competitive market where other firms charge a price of $110 per unit. The firm estimates its total costs as C(Q) = 70 + 14Q + 2Q2. Thus, the marginal costs are MC(Q) = 14 + 4Q. How much output should the firm produce in the short run?q = 60 − (1/2)p, where q is quantity sold per week.The firm’s marginal cost curve is given by: MC = 60. 1) How much will the firm produce in the short run? 2) What price will it charge? Please explain the calculations when providing the answers.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)
- 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 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).Kenan's stationary shop operates in a perfectly competitive market where the price for a pen (his only product) is $3. If the marginal cost function is MC=0.1q: (i) The profit-maximizing level of output is _____ (ii) The variable profit is _____ (iii) The producer surplus is _____ If Kenan also has a fixed cost of $50, then: (iv) The total profit is _____ If Kenan cannot avoid the fixed cost, Kenan should _____ Answer options (please only select from the following): -5, 0, 3, 5, 10, 30, 45, 50, continue to produce, shut down, otherConsider 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?
- A local microbrewery has total costs of production given by the equation TC=500+10q+5q2. This implies that the firm's marginal cost is given by the equation MC=10+10q (you do not need to be able to show this). The market demand for beer is given by the equation QD=105 – (1/2)*P. a) Write the equations showing the brewery's average total cost .Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*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.