a. b. If a firm's the price elasticity of demand (E) to be-3.5 and marginal cost (MC) is $15. Using the mark-up rule, what is the optimal price for the firm to charge? If the price elasticity of demand (En) changes to -3.0, and MC is still $15. Use the
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- A small town with a movie theater has 300 adults and 200 seniors. The theater is considering putting on a special one-time screening of a new movie. This screening has a fixed cost of $2,000, but the marginal cost of selling an additional ticket is zero. According to a survey, all the adults and seniors would be willing to purchase the tickets at $7 and $4 respectively. a. What prices would the movie theater charge for an adult ticket and for a senior's ticket if it wanted to maximize profit? Explain and calculate the profit. b. Suppose a law is passed that prohibits the movie theater from charging different prices to adults and seniors. What price would it set for a ticket now? What is the profit? c. Who is worse off because of the law prohibiting price discrimination? Who is better off? d. If the fixed cost of the concert was $2,500 rather than $2,000, how would your answers to parts-(e) change?What is the in-state and the out of state elasticity? Give your answer to two decimals.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.
- 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.Question 1 Sal's Streaming Company streams TV shows to subscribers in the US and Canada. Demand is Qus 50 (1/3)Pus - QCA 80 (2/3)P CA = - where Q's are in thousands of subscriptions per year and P's are the subscription prices per year. The cost of providing Q units of service is given by TC = 1000 + 30Q, where Q = Qus+ QCA (a) What are the profit-maximizing prices and quantities for the US and Canadian markets? (b) As a consequence of a new VPN service that Facebook has developed, subscribers in Canada are now able to get the US streams and vice versa, so Sal can charge only a single price. What is the profit-maximizing single price that he should charge? (c) In which situation is Sal better off? In terms of consumers' surplus which situation do people in Canada prefer and which do people in the US prefer? Why?ABC Cosmetic is going to launch a new special cleansing cream for men. It has aconstant marginal cost of $30 and the estimated price elasticity of demand is –4/3.What price should ABC Cosmetic charge for the cream? Show your calculation.
- 13. You just got a patent for the first commercial self-driving car. The following table shows the elasticity of the demand and the marginal cost of production of your cars in several production centers across the globe. Assuming that this are constant, can you approximate what would be the optimal price for your cars? City Marginal Cost Elasticity Price Wolfburg, Germany Barcelona, Spain Tokyo, Japan Ulsan, South Korea East London, South Africa Mexico City, Mexico $20, 000 $18, 000 $22, 000 $16, 000 $10, 000 $12, 000 -1.5 $60, 000.00 $24, 000.00 $33, 000.00 $32, 000.00 $11, 428.60 $14, 400.00 -4.0 -3.0 -2.0 -8.0 -6.0Henry Potter owns the only well in town that produces clean drinking water. He faces the following demand, marginal revenue, and marginal cost curves:Demand: P = 70 – QMarginal revenue: MR = 70 – 2QMarginal cost: MC = 10 + Qa) Graph these three curves. Assuming that Mr. Potter maximizes profit, what quantity does he produce? What price does he charge? Show these results on your graph.b) Mayor George Bailey, concerned about water consumers, is considering a price ceiling that is 10 percent below the monopoly price derived in part (a). What quantity would be demanded at this new price? Would the profit-maximizing Mr. Potter produce that amount? Explain. (Hint: Think about marginal cost.)c) George’s Uncle Billy says that a price ceiling is a bad idea because price ceilings cause shortages. Is he right in thiscase? What size shortage would the price ceiling create? Explain.d) George’s friend Clarence, who is even more concerned about consumers, suggests a price ceiling 50 percent below…Based on market research, a film production company in Ectenia obtains the following information about the demand and production costs of its new DVD Demand :P =1000-10Q Total Revenue : TR=1000Q-10Q2 Marginal Revenue: MR=1000-20Q Marginal Cost: MC=100+10Q Where Q indicates the number of copies sold and P is the price in Ectenian dollasrs. a. Find the price and quantity that maximize the company's profit b. Find the price and quantity that would maximize social welfare c. Calculate the deadweight loss from monpoly. d. Suppose in addition to the costs above. the director of the film has to be paid. The company is considering four options i. a flat fee of 2000 Ectenian dollars ii. 50 percent of the profits. iii. 150 Ectenian dollars per unit sold iv. 50 percent of the revenue. For each option, calculate the profit-maximizing price and quantity. Which if any of these compensation schemes would alter the deadweight loss from monopoly. Explain.
- Techvana is the manufacturer of a new drug which they obtained a patent for. The marginal cost of production is $175 per bottle and the elasticity of demand is estimated to be 1.86. What is the optimal price Techvana should charge for a bottle? $94.09 $113.81 $378.49 $325.5 Grizzly Gear manufactures and sells its top tier snowshoes for $1839. Marginal cost of production per pair is $1100 and fixed cost is $362. What is the markup charged on a pair of snowshoes? $1839 $1477 $377 $739A firm with market power sells its product in rre markets. The price in Market lis three times the price in Market 2 Assuming the firm faces the same constant mbrginal cost in each market and the price elasticity of demand in Market 1 is -1.2, the demand in Market 2 has an elasticity of -2. has an elasticity of -3.6. has an elasticity of-0.4. is less elastic than the demand in Market 1No written by hand solution Suppose that headphones can be produced at a constant marginal cost. Headphone A is priced at $20 and headphone B is priced at $30. (a) If the Lerner index of headphone A divided by the Lerner index of headphone B is 0.5, what is the marginal cost of producing headphones? (b) Using your answer to part ‘a’, what is the elasticity of demand of headphone A? What is the elasticity of demand of headphone B?
