An economist estimated that the cost function of a single-product firm in a perfectly competitive market is C(Q) = 4.7 + 10 + 1.20² If the market price was $67.8, what price should the firm charge in the short run?
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- Your firm "We Work Eot U" rents access to shared open office spaces for a price of S540 per year. The market is perfectly competitive as consumers have many of these "We Work" rental companies to choose from. Your firm's total revenue function is written: TR = (540) Q. The total cost function is written: TC = 80,000+ 40Q + 0.5Q? a. To maximize profits, what is the optimal number of office spaces to rent? Show your work. b. How much (in dollars) are total profits at the profit-maximizing output level? Show your work. c. In the long run, assuming no barriers to entry and exit into this industry, what will happen to profits and to the market price?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)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 in a perfectly competitive market has the following cost function: c(q) 8q2 + 228. If the market price of their product is $161, what is their profit? Round your answer to 2 decimal places.A company in a purely competitive market has a short run total cost function given by TC = 50 + 4Q + 1.5 Q2. The unit price of the company’s product is Br. 13. A economist working on the efficiency of the company suggested that it has better shut down the business. Do you agree? Explain.A manufacturer of mountain bikes has the following marginal cost function: C′(q)=700/0.5q+2 where qq is the quantity of bicycles produced. When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marginal revenue in the discussions in your textbook. a) If the fixed cost in producing the bicycles is $3200, find the total cost to produce 35 bicycles.Answer: $ b) If the bikes are sold for $250 each, what is the profit (or loss) on the first 35 bikes?Answer: $ c) What is the marginal profit on bike number 36?Answer: $
- A firm in a competitive industry has the following cost function: c(y) = y3/3 - 20y2 +310y. (Note that this is a different cost function than the one used in the earlier problems.) What is the minimum price at which this firm will supply any output? (Also note that the question is asking for price, not quantity.) Answer is integer.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*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 + 2Q². 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?
- Randall Cars repair Factory has the total Cost Function. TC (Q) = 4₁/Q + 26/Q² +30 where Q stands for the number of hours of repair, if the market price For Car repair is per hour, what the Optimal hours of repair that randall will do (round a decimal) $100The company AffordableStuff sells cell phones. The marginal cost for each cell phone is given by the equation C(x) = 0.01x² – 3x + 229. a is the number of cell phones manufactured and sold. The marginal revenue function is R(x) = 429 – 2.x. Both C(x) and R(x) are given in dollars. a) Where do these curves intersect? What do those intersection points mean? b) Find the area between the curves, using end points that make sense. Round to the nearest cent. c) What does the area under the curve mean in this case?Assume a competitive firm faces a market price of $120, and a cost curve of: C = 0.004q - + 25g + 750. Marginal cost (MC) equals 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.) Ass O stv 13 MacBook Air 80 DII esc F9 F3 F4 F5 F6 F7 F1 @ 23 $ % & 1 2 3 7 Q W E R Y tab S F K caps lock C V M shift fn control option command この つ つ エ T リ