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Suppose that the eye doctor offers senior residents a discounted price for an eye exam. The demand function for senior residents is Qs = 50 - Ps, and the demand function for the general public is Qg = 60 - Pg. The marginal cost for an eye exam is constantly $30. (a) Given that the marginal revenue curve for senior residents is Ps = 50 - 2Qs, and the marginal revenue curve for the general public is Pg = 60 - 2Qg, what prices will the eye doctor charge for senior residents and the general public to maximize profits? (b) Calculate the price elasticity of demand for each group at current prices (Hint: ?Qs/?Ps = -1 and ?Qg/?Pg = -1). (c) Compare the price and price elasticity of demand for each group in part (a) and (b), can you conclude the optimal rule for charging prices to each group when practicing third-degree price discrimination?
use the formula present value = (future value)/(1 + r)n, where n is the number of years, and r is the annual interest rate. 3. From the perspective of year 1 /1/2010, the future value on 1/1/2012 is $5,500. If the interest rate in year 2012 is r
If firm A decides to adopt the innovation and firm B decides not to adopt it, A earns $20 (minus the cost of the innovation) while B earns $0. If firm A adopts the innovation and firm B adopts it as well, each firm earns $15 minus the cost of the ..
The banking market in Athens, Ohio, currently has four banks with market shares of 60 percent, 20 percent, 15 percent, and 5 percent. The two smallest banks have propesed a meeting. Under the standard merger guidelines of the Federal Reserve.
Last year's crop was 100 million bushels, and the price was $5 per bushel. This year's weather was favorable throughout the country, and this year's crop will be 110 million bushels, or 10 percent larger than last year's. The price elasticity of d..
What single sum of money at t=6 is equivalent to the following cash flow profile if i=10%? N cash flow 1 -400 2 100 3 100 4 100 5 0..
When the price of gas in Italy is $5 per gallon, Joe consumes 1,000 gallons per year. The price rises to $5.50 and, to offset the harm to Joe, the Italian government gives him a cash transfer of $500 a year. Will Joe be better or worse off after t..
Suppose you are designed a new computer and want to make sure it is optimal for your needs. Random Access Memory can be added to your computer at a cost of $100 per gigabyte. For you the benefit of the first gigabyte of RAM is $800, and the benefi..
Consider a city that has a number of hot dog stands operating throughout the downtown area. Suppose that each vendor has a marginal cost of $1.50 per hot dog sold and no fixed cost. Suppose the maximum number of hot dogs that any one vendor can se..
its popular Mmmm Sundae from $2.25 to $1.75. As a result, the firm's daily sales of these sundaes have increased from 1,500/day to 1,800/day. Compute the arc price elasticity of demand over this price and consumption quantity range.
Find the natural rate of uemployment b. Graph the short run Phillips curve if the expected rate of inflation is 3 percent or 0.03 c. What is the sacrifice ratio in this economy d. If the central bank has a loss function of L(pi) = (pi)..
A needy family of a mother and three children currently receives cash benefits that average $12 per day. The mother of this family is allowed to earn an average of $4 per day before her benefits begin to decline.
Assume that nominal income is $35,000 and the price index is 1.20 in year 1. In year 2, nominal income rises to $38,000 and the price index rises to 1.25. What was the percentage change in real income from year 1 to year 2? Make your calculations ..
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