3-) Suppose that a fürm sells its product in two seperable markets. The demand equations are Q1 = 100 – P Q2 = 50 – 0.25P, The firm's total cost equation is TC = 150 + 5Q + 0.5Q? a) If the firm engages in third- degree price discrimination, how much should it sell. and what price should it gharge, in gach market? b) What is the firm's total profit?
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- 1. A company can sell its product in two separate market defined by the following inverse demand functions, P1=10-Q1 , P2=20-1.5Q2 the cost associated with production is given by ?? = 4 + 2Q a) What prices and quantities should the firm charge and produce in each market. b) What profit will the firm make if it practice price discrimination c) If the firm is charging uniform price in all market what price will it charge and what output will maximize profit d) What is the maximum profit for charging same price? e) Calculate the elasticity of demand in each market and comment on your result2. 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 quantityThe BCY Corporation provides accounting services to a wide variety of customers, most ofwhom have had a business association with BCY for more than five years.BCY's demand is: P = 24,000 – 20Q, and BCY's marginal cost of service is: MC = 40Q.a. If BCY charges a uniform price for a unit of accounting service, Q, what price must itcharge per unit, and how many units must it produce per time period in order to maximizeprofit? Calculate the consumer surplus.b. If BCY could enforce first-degree price discrimination, what would be the lowest pricethat it would charge and how many units would it produce per time period?c. With perfect price discrimination and ignoring any fixed cost, what is total profit andwhat is the amount of consumer surplus?
- Using the following graph that presents the demand, marginalrevenue, and relevant costs for your product, determine your firm’s optimal price,output, and the resulting profits for each of the following scenarios: a.You charge the same unit price to all consumers.b. You engage in perfect price discrimination.c. You engage in two-part pricingJust for each scenario calculate from the graph i) optimal prizeii) optimal quantityiii) Profit2. Acme Pharmaceutical Company discovers a vaccine that prevents the common cold and has a patent that grants it a monopoly on this drug. Acme has plants in both the North America and Europe and can manufacture the drug on either continent at a marginal cost of $10. Assume there are no fixed costs. In Europe, the demand for the drug is QE = 70 - PE, where QE is the quantity demanded when the price in Europe is PE. In North America the demand for the drug is QN 110 PN, where QN is the quantity demanded when the price in North America is PN =DuopolyMarket for mechanical pencils can be described by the following demand schedule:Price | Number of pencils demanded$6 | 80$5 | 200$4 | 320$3 | 440$2 | 560$1 | 680$0 | 800The fixed cost is $340, while the variable cost is $0.50.d) If there were two firms on the market and they agreed to cooperate, how much would eachfirm need to produce? Follow the procedure outlined in the lecture and show that the otherfirm would prefer to deviate from the agreement.e) When the firms deviate from the agreement, there is a new optimal level of output. Showwhether the firms have an incentive to deviate from that level?f) If there were two firms on the market, what would be the price and the quantity of pencilstraded if the firms couldn’t cooperate?
- 3. An electric power plant uses solid waste as its fuel for generating electricity. The total cost in dollars per hour of producing electricity is TC = 12 + 0.3D + 0.27D. The utility can sell electricity at a price:per hour determined byp= 15-0.2D. F5 Determine the following for each of the cases above: A. What is the profit-maximizing quantity? B, What is the profit-maximizing price the firm should charge?1. A manufacturer estimates that D(p)=3000e0.05p units of a particular good will be sold at market price of p cedis per unit. Determine the market price that will result in marginal revenue of zero. 2. A manufacturer estimates that q = 800/30 – p units of a commodity are demanded when cedis per unit are charged. a. Express the price elasticity of demand as function of p . b. Calculate the price elasticity of demand when p=10. Interpret the result. c. Find the price at which the price elasticity of demand is unit-elastic. 3. An auto maker estimates that when q units of its saloon cars are sold in a day, its profit in millions of cedis is modelled as P(q) =100+25In 20 Find the 2 number of cars that should be produced and sold to maximise profit.2. The Ice Cream Lovers Society decided to open up an ice cream stand during the summermonths. They calculated that it would cost them $0.80 to make a scoop of ice cream and$350 a month to operate the stand. They hired a research team who determined that theprice-demand function given in dollars isp x x ( ) = −8 0.02wherexis the number ofscoops sold.a. Find the revenue functionR x( )b. Find the value ofxthat produces the maximum revenue algebraically.c. Find the maximum revenue algebraically.d. Find the price per scoop of ice cream that produces the maximum revenuealgebraically.e. Find the cost functionC x( )that describes the monthly costs of operating the icecream stand.f. Find the break-even points to the nearest scoop algebraically usingR x( )andC x( ) .g. Find the profit functionP x( ).
- Suppose an airline sells air tickets to two types of customer – business travelersand vacation travelers. Their estimated demand elasticities are -2.5 and -4.0respectively.Suppose the marginal cost is constant at $240, and the services provided to thetwo types of customer are similar.a. Based on the given information, explain with TWO practical reasons whether theairline should charge a higher price on business travelers or vocational travelers.Explain without calculation.мсо 20 A profit-maximising firm produces homogenous (identical) units of output at a constant marginal cost and the units can be sold in two distinct market segments, which are segments A and B. On the assumption that the absolute value of the price elasticity of demand is lower in market segment A than it is in market segment B, if the firm decides to exercise price discrimination, we would expect to observe: A Ido not want to answer this question. В a higher price in market segment A to reflect the lower price elasticity the same price in both market segments since the marginal cost of production is the same for both markets and profits are maximised at MR = MC in both C markets D a higher price in market segment B to reflect the higher price elasticity E MR MC in market segment B because the higher elasticity allows a mark up of marginal revenue over marginal costSuppose the following data represent the market demand for catfish: Price (per unit) $20 19 18 17 16 15 14 13 12 11Quantity demanded (units per day) 12 13 14 15 16 17 18 19 20 21Total revenue — — — — — — — — — —Marginal revenue — — — — — — — — — —Compute total and marginal revenue to complete the table above. At what rate of output is total revenue maximized? At what rate of output is MR less than price? At what rate of output does MR first become negative? Graph the demand and MR curves.