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- Problem # 1 You are the marketing manager of a firm that produces Titanium and sells this metal to two distinct kinds of customers: aircraft producers and golf club manufacturers. Demand for Titanium by these two market segments is quite different, as described by the respective price equations: PA = 10 - QA./600 and PG = 12 - QG./100, where annual quantities are in thousands of pounds and prices are in dollars. Your firm estimates the marginal cost of titanium production at $4 per pound. a) What is the optimal price and quantity for the aircraft segment? b) What is the optimal price and quantity for the golf segment?Exercise 4.6 An econometrician hired to analyse a local golf course has determined that there are two types of golfers, the regular and the occasional. The annual demand for games from regular players is given by QH = 24 – 0.3P, where P is the price of a round of golf. On the other hand, the annual demand for occasional items is given by QO = 10 – 0.1P. The marginal cost and the average total cost per item are equal to €20. a) If you could distinguish between regular and casual players, what price would be set for each type? How many games would each type of player play? How much profit could the golf course generate? Represent graphically. b) As an alternative to the discrimination of third degree prices, those in charge consider a double tranche rate according to which the members can play as many games as they wish at a price of € 20 per game. How much profit will the golf course generate if it charges all players the same annual fee for becoming a member of the club? What if you…Q (F) Suppose the inverse demand curve on ore is given by P = X - 0.67 Q. Ore can be either mined or obtained through a recycling program. The marginal cost of mining is MC1 = 6 q1. The marginal cost of obtaining ore through recycling is MC2 = 96 + 2 q2. What should be a maximum value of X so that recycling is NOT cost-effective?
- Question Google is considering an advertising campaign that is expected to increase the sales of its Pixel phone by 20%. Suppose that currently Google sells 1,000,000 units at $500 per unit and the variable cost per unit is $300. If the cost of the advertising campaign is $50 million, will Google find it acceptable? Question An attractive feature of new cell phones that was introduce d in recent years is that you can switch carriers easily with the same device. How does this feature affect demand for wireless phone services? What are the likely effects on the demand that a particular US carrier is facing? Are there any elasticities that were likely to be affected?What would full marginal-cost pricing of water lead to? Group of answer choices A. more water use and higher water prices. B. less water use and higher water prices C. less water use and lower water prices D. less water use but no change in water pricesSuppose the inverse demand curve on ore is given by P = X - 0.88 Q. Ore can be either mined or obtained through a recycling program. The marginal cost of mining is MC1 = 8 q1. The marginal cost of obtaining ore through recycling is MC2 = 61 + 4 q2. What should be a maximum value of X so that recycling is NOT cost-effective?
- Exton and Shill are 2 firms that can control emissions at the following marginal costs: MC1 = 400q1, MC2 = 200q2, where q1 and q2 are the amount of emissions reduced by Exton and Shill, respectively. Assume that with no control at all, each firm would be emitting 25 units of emissions. Estimate the cost-effective allocation of emissions control needed if a total reduction of 30 units of emissions is necessary.Question You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number—10 businesses and 10 academic institutions. Each business customer has the demand function: Q=14−P, where Q is in millions of seconds per month; each academic institution has the demand: Q=10−P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? (Round all answers to the nearest integer) For business users, the rental fee would be$720,000per month and the usage fee is 2 cents per second. For academic institutions, the rental fee would be $320,000 per month and the usage fee is 2 cents per…Suppose that there are two fancy hotels on the online booking platform, say W hotel and Ritz Carlton hotel. Each hotel has the capacity of 20 rooms on the New Year Eve. There are 20 families who are planning to stay at Bay Areas. Suppose that you are the manager and you set the price to maximize the hotel profit. The marginal cost of each hotel room = 500 RMB The largest valuation on the hotel room = 2000 RMB valuation decrease by 100RMS. In total, there are 20 families. Discuss with your peers how many rooms you will offer in the market.
- Suppose that a chemical manufacturing plant is releasing nitrogen oxides into the air, and these emissions are associated with health and ecological damages. Economists have estimated the following marginal costs and benefits for the chemical market, where Q is monthly output in thousands of pounds and P is price per pound. MSB = 50 – 0.4Q MSC = 2 + 0.4Q MEB = 0 MEC = 0.2Q. Find the competitive equilibrium, QC and PC.The second-largest public utility in the nation is the sole provider of electricity in 32counties of southern Florida. To meet the monthly demand for electricity in these counties,which is given by the inverse demand function P = 1,200 − 4Q, the utility companyhas set up two electric generating facilities: Q1 kilowatts are produced at facility 1 andQ2 kilowatts are produced at facility 2 (so Q = Q1 + Q2). The costs of producing electricityat each facility are given by C1(Q1) = 8,000 + 6Q12 and C2(Q2) = 6,000 + 3Q22,respectively. Determine the profit-maximizing amounts of electricity to produce at thetwo facilities, the optimal price, and the utility company’s profits. (LO1, LO8)Apparel manufacturer Nike produces high-end and low-end versions of their running shirts. They estimate that the demands for their products are given by: High-end shirts: P = 130 - 2QH , andLow-end shirts: P = 80 - QL, where Q is measured in 1000 shirts, "H" denotes High-end and "L" denotes Low-end Both types of shirts are produced on the same production line in the same facility, so the marginal cost of producing and selling both types of shirts is constant at $30. Supposing that (i) the two demands are independent and (ii) Nike can produce and market the shirts such that the high- and low-end markets are successfully segmented, what are the profit-maximizing prices Nike would charge for each version?Answer Options:a) by the midpoint rule, PH = $65 and Pl = $40b) PH = $80 and PL = $55c) Nike will set price equal to marginal cost for both versionsd) PH = $130 and PL = $80