a. Graph the demand, marginal cost, and marginal revenue curves. b. Calculate the price and quantity associated with point C, the perfectly competitive outcome. Compute industry profit, consumer surplus, and social welfare.
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Suppose
and marginal cost is constant at MC=6. From the given demand curve, one can compute the following marginal revenue curve:
MR = 10 - Q/500
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- Suppose that the quantity demanded for Windows 11 operating system is given by q = 320 − 2p, where p is the price of the Windows 11. Let us assume that the total cost of producing q units of Windows 11 is given by C(q) = 500 + 10q. a. Find marginal revenue, marginal cost, and average cost in terms of quantity q produced. Graphically illustrate the demand curve, marginal revenue curve, marginal cost curve, and average cost curve. b. What is the price that Microsoft charges for Windows 11? How many Windows 11 will Microsoft sell? How much profit it will make? Identify Microsoft’s profit maximizing price and quantity on your graph; and show the amount of profit that Microsoft will make. Please show all work and graphs, thank you!The figure depicts the demand curve of a firm producing cars, together with its marginal cost, average cost, and isoprofit curves. Based on this figure, which of the following statements are correct? 8,000 Price, Marginal cost ($) 0 E Quantity of cars, Q At A, the firm makes positive profits. The firm makes the same profit at B and D. O Profit margin is the same at B and D. O The slope of the isoprofit is zero at D. MC Isoprofit A Isoprofit B AC 100Suppose that the unit price of a commodity of firm X is defined by: P- 90 - Q and the total cost of producing this commodity is defined by the cost function: TC- 100+0.5Q, compute i. Total Revenue (TR) ii. Marginal Revenue(MR) and interpret the result ii. Marginal cost (MC) and interprets the result iv. Find the level of output and price which maximize profit. v.Find the maximum profit vi. Check the second order condition
- Suppose that each firm in a competitive industry has the following costs: Totalcost:TC=50+1/2q2 Marginalcost:MC=q where q is an individual firm's quantity produced. The market demand curve for this product is Demand:QD=120−P where P is the price and Q is the total quantity of the good. Currently, there are 9 firms in the market.1. Give the equation for the market supply curve for the short run in which the number of firms is fixed.2. What is the equilibrium price and quantity for this market in the short run?3. In this equilibrium, how much does each firm produce? Calculate each firm's profit or loss. Is there incentive for firms to enter or exit?4. In the long run with free entry and exit, what is the equilibrium price and quantity in this market?5. In this long-run equilibrium, how much does each firm produce? How many firms are in themarket?(Enter your At a price of $18 per CD, a firm sells 40 CDs. If the slope of the demand curve is - $0.15, marginal revenue for the 41st CD is $ response rounded to the nearest penny.) The firm should cut the price to sell one more CD if the marginal cost is less than $. (Enter your response rounded to the nearest penny.)A company is the sole producer of holographic TVs. The daily demand for these TVs is Q=10,200 - 100P, where Q is the quantity demanded and P is the price. The cost of producing the TVs is (note that this implies that marginal cost is equal to Q, MC = Q). What is the company’s total revenue schedule? What is the company’s marginal revenue schedule? What is the profit maximising number of TVs that the company must produce each day? What price should it charge per TV? What is the daily profit?
- Describe the difference between average revenue and marginal revenue. Why are both of these revenue measures important to a profit-maximizing firm? Explain how a firm in a competitive market identifies the profit-maximizing level of production. When should the firm raise production, and when should the firm lower production?A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s costfunction is given by C = 60Q + 25,000. Assume that the firm maximizes profits.i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be thenew level of production, price, and profit?b. The United States currently imports all of its coffee. The annual demand for coffee by U.S.consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions ofpounds) and P is the market price per pound of coffee. World producers can harvest and shipcoffee to U.S. distributors at a constant marginal (= average) cost of $8 per pound. U.S.distributors can in turn distribute coffee for a constant $2 per pound. The U.S. coffee market iscompetitive. Congress is considering a tariff on coffee imports of $2 per pound.i. If there…The graph below depicts the cost structure for a firm in a competitive market. Price P4 P3 P₂ P₁ PPPP I MC AVC Q₁ Q₂ Q3 Q4 When prices rise from P2 to P3 the firm finds that: a. marginal cost exceeds marginal revenue at a production level of Q2. b. if it produces at output level Q3 it will earn a positive profit. c. expanding output to Q4 would leave the firm with losses. d. it could increase profits by lowering output from Q3 to Q2. ATC Quantity
- Refer to Figure 1 for questions 18-20. In Figure 1: D = Demand Curve; MR = Marginal Revenue Curve; and MC = LRATC is Marginal Cost, assumed to be equal to Long Run Average Total Cost. What is the competitive output and price for this market? Options: a) P = $3, Q = 7 b) P = $6, Q = 4 c) P = $3, Q = 4 d) P = $6, Q = 7On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.Suppose the market for peaches is perfectly competitive. The short-run average total cost and marginal cost of growing peaches for an individual grower are illustrated in the figure to the right. Assume that the market price for peaches is $28.00 per box. What is the profit-maximizing quantity for peach growers to produce? boxes. (Enter your response as an integer.) Price (dollars per box) 40- 36- 32- 28- 24- 20- 16- 12- 8- 4- 0 10 20 30 40 50 60 70 80 Output (boxes of peaches per day) MC ATC 90 100 oo Q
