Exam 10: Consumer Surplus and Deadweight Loss

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Consider a worker who consumes a composite consumption good (on the vertical axis)and leisure hours (on the horizontal axis). a.Suppose the worker has 80 hours of leisure per week and can earn a wage of $50 per hour.Illustrate the worker's weekly budget constraint. b.In order to close the deficit,the government introduces a broad-based consumption tax on all consumer goods -- raising the price of the consumption good by 20%.Illustrate the new budget constraint faced by our worker. c.On your graph,indicate the level of tax revenue raised by this broad-based consumption tax. d.Using your graph,discuss why this tax is inefficient. e.In this model is there any difference between the consumption tax and a wage tax? What is different about the real world that would change your conclusion about this?

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a.This is the steeper of the two solid budget constraints in the graphs below.
b.This is the shallower of the two solid budget constraints in the graphs below.
c.This is illustrated in the first graph as the vertical distance above A. a.This is the steeper of the two solid budget constraints in the graphs below.  b.This is the shallower of the two solid budget constraints in the graphs below.  c.This is illustrated in the first graph as the vertical distance above A.         d.The second graph shows how much could have been raised from this worker without making him worse off if we used a lump sum tax that does not distort prices.Since this is larger than what we actually raise in the first graph,the tax is inefficient.  e.Within the model,a wage tax of 20% would look exactly the same way -- whether the worker is taxed at the time of receiving the paycheck or when he goes to the store to purchase goods is irrelevant to the analysis.In the real world,however,the worker might put part of his paycheck aside as savings.As a result,it matters whether the tax is taken out as he gets his paycheck or whether it is taken when he purchases goods.The broad based consumption tax differs from the wage tax in the real world because of the different impact the two might have on savings behavior and intertemporal choices.
a.This is the steeper of the two solid budget constraints in the graphs below.  b.This is the shallower of the two solid budget constraints in the graphs below.  c.This is illustrated in the first graph as the vertical distance above A.         d.The second graph shows how much could have been raised from this worker without making him worse off if we used a lump sum tax that does not distort prices.Since this is larger than what we actually raise in the first graph,the tax is inefficient.  e.Within the model,a wage tax of 20% would look exactly the same way -- whether the worker is taxed at the time of receiving the paycheck or when he goes to the store to purchase goods is irrelevant to the analysis.In the real world,however,the worker might put part of his paycheck aside as savings.As a result,it matters whether the tax is taken out as he gets his paycheck or whether it is taken when he purchases goods.The broad based consumption tax differs from the wage tax in the real world because of the different impact the two might have on savings behavior and intertemporal choices.
d.The second graph shows how much could have been raised from this worker without making him worse off if we used a lump sum tax that does not distort prices.Since this is larger than what we actually raise in the first graph,the tax is inefficient.
e.Within the model,a wage tax of 20% would look exactly the same way -- whether the worker is taxed at the time of receiving the paycheck or when he goes to the store to purchase goods is irrelevant to the analysis.In the real world,however,the worker might put part of his paycheck aside as savings.As a result,it matters whether the tax is taken out as he gets his paycheck or whether it is taken when he purchases goods.The broad based consumption tax differs from the wage tax in the real world because of the different impact the two might have on savings behavior and intertemporal choices.

If a person's compensated demand (or MWTP)curve is perfectly vertical,the good is borderline between regular inferior and Giffen for this consumer.

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False

If tastes are homothetic,there exists a utility function that represents those tastes and that gives rise to an expenditure function which is homogeneous of degree 1 in utility.

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True

Explain the following statement: "People hate taxes primarily because of income effects while economists hate taxes primarily because of substitution effects."

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Suppose Coke and Pepsi are perfect substitutes. a.Derive the shape of the (uncompensated)demand curve. b.Derive the shape of the compensated demand (or MWTP)curve.

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The following graph applies to a consumer for whom good x is an inferior good.The price of x falls from p to p',and one of the curves below represents the consumer's (uncompensated)demand curve while the other represents the consumer's compensated demand (or MWTP)curve. The following graph applies to a consumer for whom good x is an inferior good.The price of x falls from p to p',and one of the curves below represents the consumer's (uncompensated)demand curve while the other represents the consumer's compensated demand (or MWTP)curve.    a.Which curve is which? (Explain.) b.What is it about these curves that makes them intersect at the original price p? c.Once the consumer has optimized at the new price p',illustrate the new (uncompensated)demand and the new MWTP curve. d.For curves that have shifted,explain why; for curves that have not shifted,explain why as well. a.Which curve is which? (Explain.) b.What is it about these curves that makes them intersect at the original price p? c.Once the consumer has optimized at the new price p',illustrate the new (uncompensated)demand and the new MWTP curve. d.For curves that have shifted,explain why; for curves that have not shifted,explain why as well.

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Suppose x is an inferior good.Then we will overestimate the deadweight loss from taxes on consumption good x if we use the uncompensated demand curve rather than the marginal willingness to pay (or compensated demand)curve.

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There is a compensated demand (or MWTP)curve for every indifference curve just as there is an uncompensated demand curve for every income level.

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If tastes are homothetic,there exists a utility function (that represents those tastes)such that the indirect utility function is homogeneous of degree 1 in income.

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Price subsidies have no deadweight losses so long as the (uncompensated)demand curve is vertical.

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Whenever indifference curves have kinks,marginal willingness to pay curves have horizontal "flat spots".

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When tastes are not quasilinear,the positive economist will introduce error into the analysis if he uses the uncompensated (rather than the compensated)demand curve to predict behavior.

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When tastes are not quasilinear,the positive economist will introduce error into the analysis if he uses the uncompensated (rather than the compensated)demand curve to analyze changes in consumer surplus.

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Consumer surplus is accurately measured along (uncompensated)demand curves when tastes are quasilinear.

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Indirect utility functions are homogeneous of degree 1 in income.

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An increase in income causes compensated demand curves to shift inward and regular demand curves to shift outward.

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As we move to higher indifference curves,compensated demand (or MWTP)curves shift to the right.

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When a taxed good is normal,using the (uncompensated)demand curve to estimate deadweight loss will over-state the actual deadweight loss.

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For perfect complements,the (uncompensated)demand curve slopes down and the compensated demand (or MWTP)curve is perfectly vertical.

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Why is the following statement incorrect: "A tax on all consumption goods is efficient because it equally taxes all goods and therefore does not distort their prices."

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