Exam 4: Demand

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Alison consumes only tea and cookies and consumes them only in equal proportions.What is Alison's income elasticity of demand for tea?

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First,derive the demand equation using the budget constraint and the fact that T=C.Then
T = I/(pt + pc)
Using calculus,
∂T/∂I = -I/(pt + pc)²
The income elasticity is:
ζT = -I/(pt + pc)² × (I/T)= -1

Suppose Lisa spends all of her money on books and bagels,and a bagel is an inferior good for her.When the price of coffee increases,the

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B

For the following, please answer "True" or "False" and explain why. -If a consumer is compensated for the income effect that occurs when the price of a good increases,then his demand curves can never slope upward.

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True

Suppose Lisa spends all of her money on books and coffee.When the price of coffee decreases,the

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Andrew's union has signed a new wage contract for the coming year.It promises to increase Andrew's wages in the next year so that he can keep on consuming the same bundle of goods when the prices go up.Should Andrew anticipate being happier this year (before prices rise)or next year (after prices rise)? Use a graph to demonstrate how you can tell this.Be clear!

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  -The above figure shows Bobby's indifference map for juice and snacks.Also shown are three budget lines resulting from different prices for snacks.As the price of snacks rises,Bobby's utility -The above figure shows Bobby's indifference map for juice and snacks.Also shown are three budget lines resulting from different prices for snacks.As the price of snacks rises,Bobby's utility

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If the income elasticity of potatoes is -0.7,then the income effect caused by a price decrease of potatoes

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A consumer purchases housing (H)and spends the remainder of income on the composite good (C).The government is considering one of two policies.Policy A taxes housing by $50 per unit consumed.With the tax in place,the consumer purchases 100 units of housing.Policy B collects a lump-sum tax of $5,000 from the consumer's income.Compare the effects of the policies on the consumer's utility/well-being and the amount of housing and composite goods purchased.

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For the following, please answer "True" or "False" and explain why. -The compensated demand curve only responds to the income effect from a price change.

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When measuring the substitution effect,one uses the change along

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A typical consumer spends 30% of income on housing and housing is a necessity for consumers (the income elasticity for housing is 0 < ζH < 1).What are the maximum and minimum values for the income elasticity of all other goods,ζO?

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  -Which graph in the above figure best represents a good that is an inferior good at some income levels,and a normal good at other income levels? -Which graph in the above figure best represents a good that is an inferior good at some income levels,and a normal good at other income levels?

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Dorothy lives in a city with high air pollution.Pollution is a bad,but she is able to avoid air pollution by wearing a face mask.Her preferences are given by U(q₁,q₂)= (q₁ - P)²q₂² where q₁ is the amount of time she spends wearing a mask,P is the amount of pollution and q₂ is a composite of other goods (p₂ = 1).Dorothy must decide how much to wear a mask and how much q₂ to purchase.The price of masks is pM.Assume q₁* > P when answering this question. a.Derive Dorothy's demand for masks,q₁*(p₁,Y,P) b.How does the quantity of pollution affect the demand for masks? That is,find q₁*/P. c.How does her income influence the quantity of masks she purchases? That is,find q₁*/Y. d.What condition must hold for the assumption q₁* > P to hold?

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Recall that the Cobb-Douglas Utility function U(X,Y)= XᵃY¹⁻ᵃ has the unusual property that the demand for each good depends only on its own price.Therefore,a consumer will always allocate the same proportion of income to each good.Specifically,the demand for X is X* = aI/pₓ where I is income and pₓ is the price of X. a.What is the price elasticity of demand for X? b.What is the direction of the income effect on X of an increase in pₓ?

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Jerry spends his entire income on two goods,Bran and Tea.Every month he spends half of his income on each of these goods.Jerry's income elasticity of demand for Bran is .75.What is the income elasticity of demand for Tea?

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Under which of the following conditions will there be no substitution bias in the CPI?

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Darwin's preferences are given by U(q₁,q₂)= q₁.⁵ + q₂.Derive the demand equations for q₁ and q₂.Assume prices and income are such that both goods are consumed in strictly positive quantities.

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To separate the income and substitute effects,the imaginary budget line should be

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  -The above figure shows Bobby's indifference map for juice and snacks.Also shown are three budget lines resulting from different prices for snacks assuming he has $20 to spend on these goods.Which of the following points are on Bobby's price-consumption curve? -The above figure shows Bobby's indifference map for juice and snacks.Also shown are three budget lines resulting from different prices for snacks assuming he has $20 to spend on these goods.Which of the following points are on Bobby's price-consumption curve?

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In the case of a normal good,

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