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Consider the market for a product with two types of potential users: those in proportion f have inverse demand schedule P = 5 - 0.5 Q, while the remaining 1 - f have inverse demand P = 10 - Q. Normalize the total number of consumers to 1, and let c = 2 be the constant marginal cost of the monopolist.
a) What is the optimal (profit-maximizing) two-part tariff (as a function of f) that induces both types of consumers to buy? (Hint: Use the fact that for an inverse demand curve of the form P = a - bQ, consumer surplus at price P is given by CS =(1/2b)(a - P)^2)
b) What is the optimal two-part tariff when only high-demand consumers purchase the good?
c) If f = 0.5, which of the pricing schemes [(a) or (b)] yields a higher total profit? What about when f = 0.75?
Suppose honey is produced in beehive using bees and sugar. Each honey producer uses one beehive which she rents for $1/month. Producing q gallons of honey requires spending q dollars on bees and q^2 on sugar.What is the Total cost of producing q un..
Suppose the number of employed people in an economy is 121,166,640. The unemployment rate in this economy is 10.4 percent, or .104, and the labor force participation rate is 72.5 percent, or .725. a. What is the size of the labor force
Use the sales data given below to determine a)the least squares trend line b)the predicted value for 2002 sales. c) the MAD d) the unadjusted forecasting MSE sales 1995 130 1996 140 1997 152 1998 160 1999 169
Suppose that the current market price of VCRs is $300, that average consumer disposable income is $30,000, and that the price of DVD players (a substitute for VCRs) is $500. Under these conditions annual U.S. demand for VCRs is 5 million per year.
b. If the government establishes a price floor of $9, explain what will result in terms of excess demand or supply. c. If the government establishes a price ceiling of $6, explain what will result in terms of excess demand or supply.
Derive an equation to find end of year future sum F that is equiv to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.
The demand for good X is given by: Qdx= 1,200-1/2Px+1/4Py-8Pz+1/10M Research shows that the prices of related goods are give by Py=$5,900 and Pz=$90, while the average income of individuals consuming this product is M=$55,000.
The Zenvox TV Company faces a demand function for its products that can be expressed as Q = 4,000 - P + 0.5i, where Q is the number of tv's, P is the price per tv, and i is the average monthly income. Average monthly income is currently equal to $..
Suppose you own a movie theater and most of your costs (the band, security, the land rental, etc.) are independent of how many people show up. What is likely to be the point elasticity of demand at the price you decide to charge
Suppose the market for cotton is perfectly competitive. A representative firm's short-run marginal cost is given by SRMC=5+Q, while their minimum average variable cost is $7. If the market price of cottion is $20 per unit, how much should the firm..
CEMEX and Holcim are two cement manufacturers in Durham. They produce cement and sell it into a competitive world market at the fixed price of $60 per ton. Producing one ton of cement also produces one ton of air pollution that negatively impacts ..
It is common for supermarkets to carry both generic (store-label) and brand-name (producer-label) varieties of sugar and other products. Many consumers view these products as perfect substitutes, meaning that consumers are always willing to substi..
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