Suppose that the demand functions facing a n product firm are as follows: Q, = 40 – 2P, + P2 %D Q2 = 15 + P, - P2 The cost function of the firm is given by C = Q?, + Q,Q2 + Q²2 How much should the firm produce for each product, in order to maximize profits? How much profit is obtained?
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- The blue curve on the fallowing graph represents the demand curve facing a firm that can set its own prices. Use the graph inout tool to help you answer the folowing questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white fidld, the graph and any corresponding amounts in cach grey field will change accordingly. Graph Input Tool Market for Goods 200 nguantity Semanded 20 100 Demand Price (Dolars per unt) 140 100.00 120 100 Demand 40 20 12 16 20 24 21 2 M 40 QUANTITY Iunita) On the graph inpue tool, change the number found in the Quantity Demanded feld to determine the prices that correspond to the production of 0, 8, 26, 20, 24, 32, and 40 units of output Calculate the total revenue for each of these production leveis. Then, on the fallowing graph, use the green paints (triangie symbal) to plot the resuuts. 2000 Tata Revenue 200 00 400 200 16 20 QUANTITY (Number of uni) 12 24 20 40 Calculate the total revenue if the firm produces…essay (on this firm) argues that, the firm would be better off by closing down. Do you a unit of output of this company is Birr L3. A student working on his senior A company in a perfectly competitive market has a total cost function given as: 6. TC 50+40+ The price agree? Explain By using the knowledge of relationshins among the various cost concepts, fill the bia cells of the following table. Quantity TFC TVC TC MC AFC AVC ATC 50 50 64 98 162 26 20 finms (Fi and Fa) producing identical product competing for like to dominate the other, if possible. They each defends100 90 80 70 60 ATC 50 40 30 20 AVC МС О 10 + 0 0 5 10 15 20 30 35 40 45 50 QUANTITY (Thousands of shirts) or each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume hat when the price is exactly equal to the average variable cost, the firm is indifferent between producing zero shirts and the profit-maximizing uantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will nake a profit, suffer a loss, or break even at each price. Price Quantity (Dollars per shirt) (Shirts) Profit or Loss? Produce or Shut Down? Shut down 10 20,000 Loss Shut down 20 10,000 Loss Shut down 32 5,000 Loss Either 0 or 37,500 Shut down 40 Loss 25 COSTS (Dollars)
- For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. (a) Draw a large graph showing the Royal Mail’s average cost curve and itsmarginal cost curve. Show how many deliveries would be made, and at whatprice, if Royal Mail operated as a monopoly. Show the Royal Mail’s profit orloss on the graph.For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. (a) Draw a large graph showing the Royal Mail’s average cost curve and itsmarginal cost curve. Show how many deliveries would be made, and at whatprice, if Royal Mail operated as a monopoly. Show the Royal Mail’s profit orloss on the graph. (b) The government makes a law restricting the price of postage to £1. Show theeffect of this policy in the…For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. New technology changes delivery firms’ technology. Now, the minimumaverage cost is £2 at 1 million deliveries and a minimum marginal cost of £1at 0.75 million deliveries. The government removes all price restrictions andallows free entry. Describe the long-term outcome for this market, using twographs, one at the firm-level and one at the…
- For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. The government makes a law restricting the price of postage to £1. Show theeffect of this policy in the short-run in a new, large graph. The graph shouldshow the firm’s average cost, marginal cost, marginal revenue, and consumerdemand. How much postage is bought? Show on your graph if the Royal Mailis in profit or loss, and by how much.What is likely to happen in the long nun to firms that do not reach minimum efficient scale? A firm that does not reach its minimum effcient scale OA will lose money ift remains in business OB. wil be experiencing constant retums to scale. O. will eam poslive profts iremans in business OD. will become anatural monopoly OE Both A andBThe table below shows the weekly marginal cost (MC) and average total cost (ATC) for Buddies, a purely competitive firm that produces novelty ear buds. Assume the market for novelty ear buds is a competitive market and that the price of ear buds is $6.00 per pair. Buddies Production Costs Quantity MC АТС of Ear Buds ($) ($) 9.00 - 10 2.00 5.50 15 2.44 4.48 20 3.56 4.25 25 4.50 4.30 30 5.02 4.42 35 5.96 4.64 40 8.56 5.13 Instructions: In part a, enter your answer as the closest given whole number. In parts b-d, round your answers to two decimal places. a. If Buddies wants to maximize profits, how many pairs of ear buds should it produce each week? pairs b. At the profit-maximizing quantity, what is the total cost of producing ear buds? c. If the market price for ear buds is $6 per pair, and Buddies produces the profit-maximizing quantity of ear buds, what will Buddies profit or loss be per week? 2$ d. Now assume the market price is $5.50 per pair, and Buddies produces the…
- Consider the competitive market for sports jackets. The following graph shows the marginal cost (MC), average total cost (ATC), and average variable cost (AVC) curves for a typical firm in the industry. 72 16 AVC 16 24 40 QUANTITY (Thousards of jaats) For each price in the following tabie, use the graph to determine the number of jackets this firm would produce in arder to maximize its profie. Assume that when the price is exacty equal to the average variabie cost, the firm is indifferent between producing zero jackets and the proft-maximizing quandity. Also, indicate whether the fiem wil produce, shut down, or be indiferent between the two in the short run. Lastiy, determine whether e w make a prafit, suffer a loss, ar break even at each price. Price Quantity (Dollars per jacket) (Jackets) Produce or Shut Down? Profit or Loss? 4 12 36 48 60Price and cost (dollars per student) $150 120 88 76 72 ATC 40 - MC MR 24,000 30,000 36,000 Quantity of students enroiled 15,000 Your college decides to offer a psychology course as a MOOC that can be taken by students anywhere in the world, whether they are actually enrolled in your college or not. The demand and cost situation for the MOOC is shown in the figure. The faculty member who designed the course argues: "I think the course should be priced so that the maximum number of students enroll." Which price should this faculty member favor? O A. $0 В. $40 C. $88 D. $1501. Where does a firm set its outlut .