You are a consultant who is advising a monopoly on the optimal pric analysis has yielded the following information. strategy. • The marginal cost (MC) is $3. • The demand equation is P = 90 -3Q • The total cost (TC)is given by 35 + 3Q • The marginal revenue (MR) is given by 90 - 6Q Based on this information, answer the following questions. Show FULL calculations! (a) Following the concepts of profit maximization, what is the profit maximizing quantity for
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- 1. Consider a monopoly firm with the total cost functionC(q) = 120 + 6qand the inverse market demandp(Q) = 90 − 2Q(a) What quantity will this firm sell? What price will they charge? Whatwill their profit be?(b) What would be the efficient quantity for this monopoly to produce?How much deadweight loss do they create?(c) Do you expect a firm with this sort of cost function to typically be amonopoly? Why or why not?2. Pretend it’s 2005 and people still use iPods. All iPod owners consideronly two options for downloading music to their MP3 players: purchasesongs from iTunes, or copy songs from friends’ CDs (it’s 2005, so peoplestill own CDs, too). With these two options, suppose the weekly inversemarket demand for the song “All These Things That I’ve Done” by TheKillers (remember, it’s 2005) isp = 1.98 − 0.00198QSuppose the marginal cost to Apple of you downloading a song is zero.(a) What is Apple’s optimal price of “All These Things That I’ve Done”?(b) How many downloads of “All These…Assume that builder XYZ is a monopoly in Sydney’s Southwest, who specialises in apartment construction. (a) Draw a diagram to illustrate XYZ making economic profits before the implementation of the hard lockdown in Sydney’s Southwest. On your diagram clearly indicate the quantity XYZ is choosing to produce and the price XYZ is choosing to charge. (b) Assuming costs remain constant and that that the construction industry is still allowed to operate normally, explain the impact of Sydney’s lockdown on builder XYZ’s demand from Q2 part (a). With the aid of a new diagram, discuss XYZ’s static profit or loss situation after these changes. Clearly indicate the quantity XYZ is choosing to produce and the price XYZ is choosing to charge. (c) Assume that XYZ survives the lockdown and stays in business. If the NSW government decides to double the first home buyer’s grant, explain the impact on XYZ’s demand. With the aid of a new diagram, discuss XYZ’s static profit or loss situation after this…Suppose a monopoly market has a demand function in whichquantity demanded depends not only on market price (P) butalso on the amount of advertising the firm does (A, measuredin dollars). The specific form of this function isQ =(20 - P2) (1 + 0.1A - 0.01A2).The monopolistic firm’s cost function is given byC = 10Q + 15 + A.a. Suppose there is no advertising (A = 0). What outputwill the profit-maximizing firm choose? What market price will this yield? What will be the monopoly’sprofits?b. Now let the firm also choose its optimal level of advertising expenditure. In this situation, what output levelwill be chosen? What price will this yield? What will thelevel of advertising be? What are the firm’s profits in thiscase? Hint: This can be worked out most easily by assuming the monopoly chooses the profit-maximizing pricerather than quantity.
- A monopoly company has a demand curve that can be shown as P = 3 000 - 100Q. It has fixed costs of R1 000 and additional cost per unit produced of R200. 1. a) What is the total cost equation? [2] 2. b) What is the marginal cost equation? [2] 3. c) What is the total revenue equation? [2]A monopolist is faced with the following cost and revenue curves:(picture) a.What is the maximum-profit price and output,total revenue, total cost and profit? b.If the monopolist were ordered to produce 300 units, what would be the market price and how much profit would now be made c.If the monopolist were faced with the same demand, but average costs were constant at £60 per unit, what output would maximise profit? What would be the price now?................................................................................................. (j) How much profit would now be made? ................................................................................... (k) Assume now that the monopolist decides not to maximise profits, but instead sets a price of £40. How much will now be sold? .................................................................................................................................................. (l) What is the marginal revenue at this…The graph below shows the Market conditions of Honey’s Laundry service, which is the only laundry in Banani Residential Area. Considering the shop as a Monopoly market, answer the following questions: (a)In order to maximize profit, how many clothes does the shop clean ? (b)If the opening of five new laundry turns it into a perfectly competitive market, what should be the price Sunny’s laundry be charging now? (c)Compute the change in total revenue between part a and part b.
- 2. A monopolist’s demand function is given by D(p) = 90 − 2p. This monopolist is facing a cost function, C(y) = (1/2)y2 + 600. (a) Is this a natural monopoly? Explain. (b) How can government regulate this monopolist to produce the efficient amount of products?Onestore has monopoly power in Smalltown. Assume that Onestore is a profit maximizing firm and currently operates at a negative economic profit in the short run.(a) Draw a correctly labelled diagram for Onestore and show each of the following:(i) The profit maximizing price and quantity labelled as Pm and Qm respectively (ii) Shade completely, the area representing the negative economic profit (b) Explain why Onestore continues to operate in the short run despite earning negative economic profit in the short run. c. A single price monopolist’s demand curve is given by:P = 240 – 3qand its total cost curve is given byTC = 30 + 6q Calculate the monopolist’s profit maximizing level of output Calculate the profit maximizing price for the monopolist What is the profit of the monopolist?2. A market analysis employed by the "Sad Student Company" reveals that the number of lots of the game named "Handsome Killer: Revenge of the Teacher" ordered by the wholesalers when the game is offered at a price of dollars per lot is given by the formula: p=1500 – 2.5q a) Find the company's total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing the revenue as a function of price rather than of quantity
- ev Quantity, price, total revenue, and total cost for a monopoly firm that produces cement are listed in the table below. Quantity, (Q) (tons) Price (P) Total Revenue (TR) Total Cost (TC) 1 $1,300 $1,300 $900 2 $1,215 $2,430 $980 3 $1,130 $3,390 4 $1,045 $4,180 5 $960 $4,800 6 $875 $5,250 7 $790 $5,530 Determine the firm's profit-maximizing price. Write the exact answer. Do not round. Answer S $1,100 $1,270 $1,510 $1,960 $2,5607. A monopoly firm faces a demand curve given by 2(P) = 40 – 2p. The firm has constant MC=$12. (A) Find the firm's marginal revenue and use this to find the firm's profit-maximizing output and price. Draw a diagram. Hint: first figure out how express the firm's total revenue in terms of Q. Then if you know calculus, take the derivative of this expression with respect to Q to find marginal revenue. If you don't know calculus, recall that for a linear demand curve, (1) the slope of the marginal revenue curve is twice (in absolute value) the slope of the demand curve; and (2) the marginal revenue curve intersects the vertical (price) axis at the same point as the demand curve; and (3) the marginal revenue curve hits the quantity axis at half the distance of the demand curve. (B) Find the price elasticity of demand at the profit-maximizing output and price. Is demand elastic?2. Suppose the cost function for a monopoly is given by TC =F+c.q where TC is the total cost, F is the fixed cost and q is the output of the firm. The demand function for the monopoly is given by q = A-bP where A > 0 and b > 0. Find out the profit maximizing price, quantity, and profit for the monopoly. Also find out the expression for the marginal revenue of the monopoly as well as the elasticity of demand facing the monopoly.