Exam 5: Demand-Part A

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If two goods are substitutes, then an increase in the price of one of them will increase the demand for the other.

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If consumers spend all of their income, it is impossible for all goods to be inferior goods.

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Cecil consumes x1 and x2 in fixed proportions.He consumes A units of good 1 with B units of good 2.To solve for his demand functions for goods 1 and 2,

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Miss Muffet insists on consuming 2 units of whey per 1 unit of curds.If the price of curds is $5 and the price of whey is $6, then if Miss Muffet's income is m, her demand for curds will be

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It is impossible for a person to have a demand curve that slopes upward at all prices.

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Mary has homothetic preferences.When her income was $1,000, she bought 40 books and 60 newspapers.When her income increased to $1,500 and prices did not change, she bought

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Define each of the following: a.Inverse demand function b.Engel curve

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If Charlie's utility function is X 4A XB, the price of apples is pA, the price of bananas is pB, and his income is m, then Charlie's demand for apples will be

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Carlos consumes only two goods, apples and bananas.His utility function is U(a, b)= min{a, b}.Before trade, his initial endowment is wa apples and wb bananas.After he trades to his optimal consumption point at these prices, the relative prices change.Carlos is allowed to make further trades if he wishes.

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Ms.Laura Mussel's preferences between golf and tennis are represented by U(g, t)= gt, where g is the number of rounds of golf and t is the number of tennis matches she plays per week.She has $24 per week to spend on these sports.A round of golf and a tennis match each cost $4.She used to maximize her utility subject to this budget.She decided to limit the time she spends on these sports to 16 hours a week.A round of golf takes 4 hours.A tennis match takes 2 hours.As a result of this additional constraint on her choice,

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Miss Muffet insists on consuming 2 units of whey per 1 unit of curds.If the price of curds is $3 and the price of whey is $3, then if Miss Muffett's income is m, her demand for curds will be

(Multiple Choice)
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Clarissa's utility function is U(r, z)= z + 120r - r2, where r is the number of rose plants she has in her garden and z is the number of zinnias.She has 250 square feet to allocate to roses and zinnias.Roses each take up 4 square feet and zinnias each take up 1 square foot.She gets the plants for free from a generous friend.If she acquires another 100 square feet of land for her garden and her utility function remains unchanged, she will plant

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If there are two goods and if income doubles and the price of good 1 doubles while the price of good 2 stays constant, a consumer's demand for good

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Casper's utility function is 3x + y, where x is his consumption of cocoa and y is his consumption of cheese.If the total cost of x units of cocoa is x2, the price of cheese is $8, and Casper's income is $174, how many units of cocoa will he consume?

(Multiple Choice)
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With some services, e.g., checking accounts, phone service, or pay TV, a consumer is offered a choice of two or more payment plans. One can either pay a high entry fee and get a low price per unit of service or pay a low entry fee and a high price per unit of service. Suppose you have an income of $100. There are two plans. Plan A has an entry fee of $20 with a price of $2 per unit. Plan B has an entry fee of $40 with a price of $1 per unit for using the service. Let x be expenditure on other goods and y be consumption of the service. a. Write down the budget equation that you would have after you paid the entry fee for each of the two plans. b. If your utility function is xy, how much y would you choose in each case? c. Which plan would you prefer? Explain.

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Angela's utility function is x + y1/2.It is possible that if her income is very high, an increase in income will not make her spend more on y.

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John Parker Nosey works for the Internal Revenue Service.He is in charge of auditing income of self-employed people.In any year, people divide their total income between consumption and saving.John cannot determine people's consumptions, but he is able to determine how much people have saved over the course of a year.From years of experience, he has learned that people act as if they are maximizing a utility function of the form U(c, s)= 10,000ln(c)+ s, where c is the number of dollars worth of consumption in a year and s is the number of dollars saved.

(Multiple Choice)
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Marie's utility function is U(x, y)= min{3x + 2y, 2x + 5y}, where x is the number of units of sugar she consumes and y is the number of units of spice she consumes.She is currently consuming 12 units of sugar and 40 units of spice and she is spending all of her income. a.Draw a graph showing her indifference curve through this point. b.The price of spice is $1.In order for this to be her consumption bundle, what must the price of sugar be and what must her income be?

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If preferences are quasilinear, then for very high incomes the income offer curve is a straight line parallel to one of the axes.

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If the demand curve is a downward-sloping straight line, then the price elasticity of demand is constant all along the demand curve.

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