Rhing a small firm, and you have an estimate of both your cost function and your demand curve. Your cost function is TC-791-12q+3q^2, while your inverse demand curve is P-1,088-0.1q, where P is the price of one unit of your output and q is the quantity of units produced and sold. If you wanted to maximize profit, what quantity would you produce? Please round your answer to the nearest whole number (i.e., no decimal places).
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- 1 point You're running a small firm, and you have an estimate of both your cost function and your demand curve. Your cost function is TC-818-190+40^2, while your inverse demand i curve is P-814-0.5gq, where P is the price of one unit of your output and q is the quantity of units produced and sold. If you wanted to maximize profit, what quantity would you produce? Please round your answer to the nearest whole number (le, no decimal places). Type your answer.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?Assume that a competitive firm has the total cost function: TC=1q3−40q2+880q+2000 T C = 1 q 3 - 40 q 2 + 880 q + 2000 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. How many units should the firm produce to maximize profit? Please specify your answer as an integer. What is the total profit at the optimal output level? Please specify your answer as an integer.
- ***What would this look like in EXCEL, Graph and Table*** 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?The 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?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.
- The graph below shows a particular firms marginal revenue (mr) marginal cost (mc) and average total cost (atc) curves, where the market is competitive. Suppose that a new management team is brought in and that this team is initially less concerned about maximizing profits than it is simply about making a profit. What range of production quantities will allow the firm to operate while earning a profit? Give you're answer by dragging the qmin to Qmax lines into their correct positions. The output will need to lie somewhere between those limits.Using the following table, for each price level, calculate the optimal quantity of units for the firm to produce. Using the data from the graph to determine the firm’s total variable cost, calculate the profit or loss associated with producing that quantity. Assume that if the firm is indifferent between producing and shutting down, it will choose to produce. (Hint: Select purple points [diamond symbols] on the graph to receive exact average variable cost information.) Price Quantity Total Revenue Fixed Cost Variable Cost Profit (Dollars per instant pot) (Instant pots) (Dollars) (Dollars) (Dollars) (Dollars) 25.00 1,600,000 70.00 1,600,000 100.00 1,600,000Using the following table, for each price level, calculate the optimal quantity of units for the firm to produce. Using the data from the graph to determine the firm’s total variable cost, calculate the profit or loss associated with producing that quantity. Assume that if the firm is indifferent between producing and shutting down, it will choose to produce. (Hint: Select purple points [diamond symbols] on the graph to receive exact average variable cost information.) Price Quantity Total Revenue Fixed Cost Variable Cost Profit (Dollars per instant pot) (Instant pots) (Dollars) (Dollars) (Dollars) (Dollars) 25.00 1,600,000 70.00 1,600,000 100.00 1,600,000 If the firm shuts down, it must incur its fixed costs (FC) in the short run. In this case, the firm's fixed cost is $1,600,000 per day. In other words, if it shuts down, the firm would suffer losses of $1,600,000 per day until its fixed…
- Bitcom, a manufacturer of electronics, estimates the following relation between marginal cost of production and monthly output: MC= $150+ 0.005Q What does this function imply about the effect of the law of diminishing returns on Bitcom’s short-run cost function? Calculate the marginal cost of production at 1,500, 2,000, and 3,500 units of output. Assume Bitcom operates as a price taker in a competitive market. What is this firm’s profit-maximizing level of output if the market price is $175? Compute Bitcom’s short-run supply curve for its product. Provide a 100 word summary of how this can be applied to the current economy. Show Calculations and can it be done in Excel?The profit function for a firm is given by n(q) = -q³ + 300q² – 10,800q – 4,000. a. Is the firm operating in the short-run or the long-run? How do you know? b. What is the output that maximizes profit for the firm? c. What is the maximized level of profit? d. In Excel or other software, provide a graph of the above profit function to confirm your mathematical results found above. Use output amounts ranging from 1 to 200. Put profit on the vertical axis and output on the horizontal axis.Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.