Pindyck & Rubinfeld, 8e. Ch 8 #7. Suppose the same rm's cost function is C(q) = 4q 2 + 16. (From #6, we also know that the market price is $20 and the industry is perfectly competitive.) (d) At what range of prices will the rm produce a positive output? (e) At what range of prices will the rm earn negative pro t? (f) At what range of prices will the rm earn positive pro t?
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Pindyck & Rubinfeld, 8e. Ch 8 #7. Suppose the same rm's cost function is C(q) = 4q 2 + 16. (From #6, we also know that the market price is $20 and the industry is
(d) At what range of prices will the rm produce a positive output? (e) At what range of prices will the rm earn negative pro t? (f) At what range of prices will the rm earn positive pro t?
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- The figure deplcts the demand curve for Beautiful Cars, and the marginal cost and Isoprofit curves of the car manufacturer. The quantity and price at polnt E are (Q*. P*) - (30, 5,500). Suppose now that the firm Increases the price to 5,550 and chooses the corresponding level of output from the demand function at the new price. Based on this Information, whlch of the following Is correct? 8,000 Demand curve 100 Quantity of cars, O O The firm will sell 30 cars at the higher price. O The firm's profit remains the same. O The quantity of cars produced reduced. O Tho firm's profit is now incroasod Price, Marginal cost ($)A major software developer has estimated the demand for its new personal finance software package to be Q=1,000,000P-2 while the total cost of the package is C = 10,000+ 25Q. If this firm wishes to maximize profit, what percentage markup should it place on this product where percentage markup is defined as 100*(sale price - marginal cost)/marginal cost? 4. a. b. C. d. e. ANS: 90% 100% 20% 40% 250%The fast answer is best . Thank you. Like like like. The manufacturer of smart printers is trying to decide what price to set for its product. The demand and cost function are assumed to be as follows: P = 80 -2Q TC= 160 +50Q-1.5Q ²a. What price should the company charge if it wants to maximize its profit in the short run? What is the optimal quantity for the printer following this optimal price? b. What price should it charge if it wants to maximize its revenue in the short run? What is the optimal quantity for the printer under this price? What will be the maximum revenue?
- 6.10. Firm supply and industry supply. A firm's marginal cost curve is given by MC(q) = 1+1 q. The minimum of the firm's aver- age cost is given by 2.5. (a) Plot the firm's marginal cost function. (b) Derive the expression of the firm's supply curve. (c) Determine the firm's optimal output level when p 4. (d) Determine the firm's optimal output level when p = 2. (e) Suppose that the industry in question comprises 200 firms like the one above. Derive the industry supply curve.Suppose that each firm in a competitive industry has the following identical costs: Total cost: TC = 25+0.25Q2,where Q is an individual firm’s quantity produced. The market demand curve for this product is as follow: Demand: P=60-0.095Q,where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm’s fixed cost, variable cost, and its marginal cost. (ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm’s supply function is Qi= a+bP then the market supply Qm can be the aggregated supply at each price as Qm = Q1+Q2+Q3+...+Qi where Qi is each firm’s supply function.) (iii) Calculate each firm’s production quantity and profit (or loss) in the short run. Predict whether a firm will decide to leave or stay in the market as well as the long-run market equilibrium with free entry and exit.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, TFC = 60. The optimum profit is a. 348 b. -245 c. 1,200 d. -15.2 e. 255 f. None of the above
- Suppose that each firm in a competitive industry has the following identical costs:Total cost: TC = 25+0.25Q2,where Q is an individual firm’s quantity produced.The market demand curve for this product is as follow:Demand: P=60-0.095Q,where P is the price and Q is the total quantity of the good. Currently. (i) Identify each firm’s fixed cost, variable cost, and its marginal cost.(ii) Suppose that there are 10 firms in the market. Construct the market supply function in the short run. Determine the equilibrium price and quantity. (Hint: If each firm’s supply function is Qi= a+bP then the market supply Qm can be the aggregated supply at each price as Qm = Q1+Q2+Q3+...+Qi where Qi is each firm’s supply function.)Attempt all questions. Q1. a) A local Pepsi company has total costs of production given by the equation TC-500+10q+Sq2. This implies that the firm's marginal cost is given by the equation MC 10+10q. The market demand for cold drink is given by the equation QD-105 (1/2)*P. Write the equations showing the company's average total cost and average variable cost and average fixed cost, each as a function of q. Show the firm's MC, ATC and AVC on one graph. What is the breakeven price and breakeven quantity for this firm in the short run? What is the shutdown price and shutdown quantity for this firm in the short run? If the market price of the output is $50, how many units will this firm produce? iv) Assuming the cold drink industry is perfectly competitive, what output would be produced by the firm in long-run equilibrium? What would be the long-run equilibrium price? i) ii)A price-taking firm in a competitive industry of a good that is continuously divisible (like sand) has a total cost function TC(Q) = 3.5Q^2 + 100Q + 500. The market price for the good is p = $240. a: Carefully write out this firm’s profit maximization problem, using the particulars of thisproblem. b: Give the marginal condition (equation) that characterizes the solution to this problem. Solvethis condition for the firm’s optimal quantity Q*. c: Calculate the firm’s maximized profit. d: On a graph with quantity on the horizontal axis, neatly plot the marginal revenue curve andmarginal cost curve. Show Q* on your graph. e: Label areas on your graph using a, b, c, etc. and indicate the areas that correspond to totalrevenue and variable cost.
- The figure shows a bakery's marginal and average cost curves, and its isoprofit curves. The bakery is a price-taker in a large bread market. Suppose the current market price is P₁. Based on this information, which of the following statements is correct? Price, Cost €6 (5 20 40 60 80 Quantity MC hoprofits AC 100 120 140 160 180 number of loaves Select one or more: a. The bakery would be better off raising its price up to its AC level. O b. The bakery would be minimising its loss at A. Oc. If the bakery is not yet in the market then it would not enter the market. d. If the bakery is already in the market, then it would always immediately exit the market because it is making a loss.Suppose that, in a perfectly competitive industry, every firm has total cost function TC(Q)= 5million +4Q+Q²/50,000. Demand is given by D(p) - 375,000(42-2p). (a) If the industry consists of five firms, with no possibility of entry or exit, how much does each firm produce in equilibrium? (b) What is the profit of each firm? (c) How would you answer to part (a) change if there would be a possibility of entry and/or exit? Provide a sketch of how one would solve for the equilibrium outcome.1. Consider the perfectly competitive market for guitar tuners. The mar- ket price for a guitar tuner is $20 and the cost functions are: TC (q) = .01q² + .2q + 4950 %3D MC (q) = .02g +.2 (a) Find the profit-maximizing quantity of guitar tuners produced by a firm in this market. (b) Calculate the profit each firm will earn in this market (c) Graphically depict the firm's profit-maximization problem. (note: this doesn't need to be to scale but should accurately reflect the sign of the profit) (d) Will firms enter into this market in the long run? (e) Graphically show how the price will change as the market pro- gresses towards a long-run equilibrium. (There's no need to find the exact long-run equilibrium price. Just follow similar steps to what we did in class)