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Intermediate Microeconomics Study Set 1
Exam 14: Market Demand-Part A
Path 4
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Question 1
Multiple Choice
The constant elasticity of demand for cigarettes has been estimated to be 0.5.To reduce smoking by 75%, approximately how much tax needs to be added to a $1 pack?
Question 2
Essay
In Tassel, Illinois (pop.20,000), there are two kinds of families, those who like swimming pools and those who don't.Half of the population is of each type.Families who like swimming pools are willing to spend up to 5% of their income each year on a swimming pool.Families who don't like them would pay nothing for a swimming pool.Nobody wants more than one swimming pool and nobody has thought of sharing a swimming pool.Incomes in Tassel range between $10,000 and $110,000.For incomes M in this range, the number of families in Tassel with income greater than M is about 22,000 - .2M.(The two types of families have the same income distribution.)Find the aggregate demand function for swimming pools in Tassel (demand for swimming pools as a function of the annual cost of having one).
Question 3
Multiple Choice
In a certain city, the demand function for crack cocaine is q = 1,000 - p, where p is the street price.The cocaine industry is competitive.Cocaine distributors can buy as much cocaine as they wish at a price of $50 per unit from Colombian sources.Whenever the city narcotics police catch a cocaine dealer, they confiscate all the cocaine that he has.The jails are full so they do not imprison the dealers.The police are able to catch the dealers about half the time, so they get about half the cocaine that enters the city.Instead of destroying confiscated crack, the police simply resell it on the street.If the original supply curve of cocaine on the streets was horizontal, what is the net effect of police activities on the market for crack in this city?
Question 4
True/False
The demand function for potatoes has the quantity q = 1,000 - 10p.As the price of potatoes changes from 10A2 to 20A2, the absolute value of the price elasticity of demand for potatoes increases.
Question 5
Multiple Choice
Given his current income, Rico's demand for bagels is related to the price of bagels by the equation Q = 540 - 16P.Rico's income elasticity of demand for bagels is known to be equal to 0.5 at all prices and incomes.If Rico's income quadruples, his demand for bagels will be related to the price of bagels by the equation
Question 6
Multiple Choice
The inverse demand function for grapes is described by the equation p = 518 - 5q, where p is the price in dollars per crate and q is the number of crates of grapes demanded per week.When p = $38 per crate, what is the price elasticity of demand for grapes?
Question 7
Multiple Choice
At the price of $100, tourists demand 267 airplane tickets.At the same price, business travelers demand 237.At the price $110, tourists demand 127 tickets and business travelers demand 127.Assuming that the demand curves of business travelers and tourists are both linear over this price range, what is the price elasticity of demand at the price $100?
Question 8
Multiple Choice
The demand for drangles is given by D(p) = (p + 1)
-2
, where p is the price of drangles.If the price of drangles is $20, then the price elasticity of demand for drangles is
Question 9
Multiple Choice
In Gas Pump, South Dakota, every Buick owner's demand for gasoline is 20 - 5p for p less than or equal to 4 and 0 for p > 4.Every Dodge owner's demand is 15 - 3p for p less than or equal to 5 and 0 for p > 5.Suppose that Gas Pump has 100 Buick owners and 50 Dodge owners.If the price of gasoline is $4.25, what is the total amount of gasoline demanded in Gas Pump?
Question 10
Multiple Choice
Ed has 100 tons of manure.The lowest price at which he is willing to sell it is $10 per ton.Fred wants to buy 100 tons of manure.The most he is willing to pay is $8 per ton.The federal government offers to subsidize manure sales at a rate of $1 per ton.If Ed and Fred are the only people who deal in manure, then the deadweight loss caused by the subsidy is
Question 11
Multiple Choice
If the marginal cost of making a photocopy is 2 cents and the elasticity of demand is 2.50, the profit-maximizing price is
Question 12
True/False
The demand curve is inelastic for inferior goods and elastic for normal goods.
Question 13
Essay
The demand for Craftmatic Adjustable Beds is described by Q
c
= P
-1.60
c
I
-0.80
P
1.20
m
A
0.25
, where Qc is the number of Craftmatic Adjustable Beds demanded, P
c
is the price of a Craftmatic Adjustable Bed, I is per capita income, P
m
is the price of a battery-powered massage pillow, and A is the advertising budget. a.If the marginal cost of producing a Craftmatic Adjustable Bed is $200, what is the profit-maximizing price? b.Per capita income in the United States is forecast to rise by 3% next year.How will this impact Craftmatic's sales? c.The price of battery-powered massage pillows suddenly fell by 10%.How will this impace Craftmatic's sales?
Question 14
True/False
If consumer 1 has the demand function x
1
= 1,000 - 2p and consumer 2 has the demand function x
2
=500 - p, then the aggregate demand function for an economy with just these two consumers would be x =1,500 - 3p for p < 500.