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- 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 quantitySuppose that a local government is considering placing a tax on the rental of rooms on Airbnb. Before the tax, the total revenue earned by hosts using Airbnb was $10,000,000 per year. a) If the government imposes a 10% tax on these rooms, will they earn more or less than $1,000,000 in tax revenue if the market is assumed to be perfectly competitive? b) Will local residents who rent their homes (as tenants) benefit from this policy? (Use a diagram to explain) c) Does your answer to a) or b) change if there are a fixed (and small) number of rooms available to rent in the area?V4. : B1, C2, B2 A theatre charges 12$ per tickets for musical shows. Average attendance at these shows is 16,000. However, last year they charged 13$ and the average attendances were 13,5000. Required Assuming attendance to be purely price dependent. What is demand function for the theatre?
- 1) Suppose you are operating a discount movie theater and want to increase profits by charging adults and kids different prices. Assume there are no variable costs, just fixed costs to show the movie. You estimate the inverse demand function for kids to be: p1(y1) = 4 - 0.05y1 You estimate the inverse demand function for adults to be: p2(y2) = 9.6 - 0.08y2 a) How many kids will watch a movie? What price will you charge kids? b) How many adults will watch a movie? What price will you charge adults?2. Jack is the owner of the only local bar in a small town. He sells whiskey in one-ounce glasses. For simplicity, let's assume it doesn't cost Jack anything to run his business. There are two customers, Adam and Burt who are twin brothers. Adam's demand function is ya = 16 – 2p, and Burt's demand function is yg = 8- p (price is measured in dollars and quantity is measured %3D by ounces). Jack knows their demand functions, but the problem is that he cannot tell them apart since they look exactly the same to him. To increase his profits, Jack offers the following two options that his customers can choose from: (1) You can pay $T1 up front and drink as much as you want; or (2) Pay $T2 up front and the price per ounce of whiskey will be $p. 2.a If p = 4, what is the maximal T2 that Jack can charge so that Burt is willing to come to the bar? 2.b What is the maximal T, that Jack can charge so that Adam will choose the first pricing option?By how much does the residual elasticity of demand facing a firm increase as the number of firms increases by one firm? The effect of a change in the number of firms on the residual elasticity of demand for a firm as a function of the number of firms (n), the market elasticity of demand (ɛ), and the supply elasticity of the other firms (no) is de; ||: (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. dn E.g., a subscript can be created with the _ character.)
- 5. In a small college town there is only one movie theater. In a given month, if the theater is open, the owners have to pay a fixed amount of $6,000 for the films, ushers, etc., regardless of how many people come to the movies. For simplicity, assume that if the theater is closed, its costs are zero. The demand function for movie tickets in the town is characterized by ??= 45 −QT/60 a. Draw the market demand curve, the marginal revenue curve, and the marginal cost curve. Make sure to label the axes, curves, and intercepts. b. Find the profit-maximizing price and quantity of movie tickets, and indicate them on the graph above. How much would the theater make in profits?c. Suppose the local government implements a property tax, so that each month the theater now must pay a lump sum tax of $700. What will be the price and quantity of movie tickets under this tax?3. A firm is considering bidding for the franchise to sell cola and hot dogs at a baseball stadium. It estimates the demand functions for cola and hot dogs respectively as De=20-4pc-PH DH = 15-Pc-5PH where De is demand for cola in thousands (of cans), DH is demand for hot dogs in thousands, pc is the price of a can of cola in dollars, and PH is the price of a hot dog. The unit cost of supplying a hot dog is constant at $0.1, and the unit cost of a can of cola is likewise constant at $0.5. (a) Find the upper limit to the amount the firm would bid for the franchise.1.) GM’s Food Shops has completed a study of weekly demand for its “new-fashioned” tacos in 53 regional markets. The study revealed that where Q is the number of tacos sold per store per week, A is the level of local advertising expenditure, Pop denotes the local population (in thousands), and Pr is the average taco price of local competitors. For the typical GM’s outlet, P = P1.50, A = P1,000, Pop = 40, and Pr = P1. Q = 400 - 1,200P + 0.8A + 55Pop + 800Pr Estimate the weekly sales for the typical GM’s outlet. Determine the equilibrium price and equilibrium quantity, if supply is Qs = 700 + 1,200P considering the general demand function of GM’s outlet Should GM raise its taco prices? Why or why not?
- 8) Suppose the inverse demand for a product is P(0) = 30-2Q. This implies that the marginal revenue is MR(Q ) = 30- 4Q. The total cost of production is C(Q) = 20 + Q2, which implies that the marginal cost is MC(Q) = 2Q. The deadweight loss from monopoly power in this market is . A) 25 B) 15 C) 12.5 D) 7.5 ..1. The demand function for football tickets for a typical game at a large midwestern university is D(p) = 200.000–10.000p. The university has a clever and avaricious athletic director who sets his ticket prices so as to maximize revenue. The university's football stadium holds 100.000 spectators. a) Write down the inverse demand function. b) Write expressions for total revenue and marginal revenue as a function of the number of tickets sold. c) Draw the inverse demand function and the marginal revenue function. On your graph, also draw a vertical line representing the capacity of the stadium. Intermediate Microeconomics Market Demand d) What price will generate the maximum revenue? What quantity will be sold at this price? e) At this quantity, what is marginal revenue? At this quantity, what is the price elasticity of demand? Will the stadium be full?d) Consider a demand curve given by P = AQ 0.25 where P and Q represent price and quantity demanded respectively, and A is a positive constant. Show that the price elasticity of demand is constant, for all values of4, and is always equal to 4. Find the marginal revenue function and sketch the demand curve and its associated marginal revenue curve.
