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What is a demand function?
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It gives the optimal amount of goods as a function of prices and income faced by the consumer
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What form is the demand function written in?
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x1=x1(p1,p2,m)
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A normal good is a good that has the following characteristics
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The quantity demanded rises/lowers if income rises/lowers
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How do you know if a good is a normal good?
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dx1/dm>0
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An inferior good is a good that has the following characteristics
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an increase in income leads to a decrease in the quantity demanded
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How do you know if a good is an inferior good?
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2x1/dm<0
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Income offer curve of the income expansion path is a curve that depicts
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the demanded bundles
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From the income curve what type of curve do we generate?
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Engel curve
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The engel curve is a graph of
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prices that are fixed and how demand changes as income changes
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What property do homothetic preferences have?
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consumer preferences that only depend on the ratio of good 1 to good 2 (x1,x2) to (y1,y2) = (2x1,2x2) to (2y1,2y2)
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What property does a giffen good have?
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a price decrease in good 1 leads to a decrease in consumption of good 1, it is extremely inferior
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A price offer curve is a curve
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that connects optimal points as the budget line pivots due to price change
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From the price offer curve we can derive ____________ function.
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Demand
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A substitute is a good which the demad
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for the good goes up when the price of other good goes up
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A substitute satisfies the following condition
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dx1/dp2>0
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A compliment is a good in which the demand
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decreases as the price increases
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A compliment satisfies the following condition
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dx1/dp2<0
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What is the slutsky equation?
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when the price of 1 good changes there are two effects.... substitution and income
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What is the part of the slutsky equation that captures the substitution effect?
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dx1/dp2
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The substitution effect of the slutsky equation is always
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negative
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What is the part of the slutsky equation that captures the income effect?
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dx1/dm
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The income effect can be positive or negative, it depends on if the good is what?
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inferior or normal
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If the good is normal then dx1/dm is what then 0
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greater than
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If the good is inferior then dx1/dm is what than 0
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less than
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The substitution effect is the change in demand due to
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a change in relative prices while holding income constant
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The income effect is the change in demand due to
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having more purchasing power
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What does consumer surplus measure?
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how much the consumer would need to be paid to give up the good
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What does compensating variable measure?
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the amount of income needed to restore a consumer to his original indifference curve?
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What does the equivalent variable measure?
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the amount of money needed to be taken away before the price change to leave him as well off as he was before the price change
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What does elasticity measure?
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how responsive something is to change
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What is the price elasticity of demand defined as?
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the percent of change in quantity divided by the percent change in price
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What is the equation for price elasticity of demand?
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p/q * dp/dp
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What is income elasticity of demand defined as?
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how the quantity demanded responds to a change in income
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What is the equation for income elasticity of demand?
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m/q * dq/dm
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What are the conditions for elastic demand?
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a change in the price has a big effect on the quantity demanded
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What are the conditions of inelastic demand?
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a change in price has a small change in quantity demanded
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What are the conditions for unit elastic demand?
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a change in price will have a proportion change in the quantity demanded
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What is the equation for elastic?
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!Ep!>1
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What is the equation for inelastic?
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!Ep!<1
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What is the equation for unit elastic?
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!Ep!=1
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How do you find the vertical intercept?
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It is b in the equation
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How do you find the horizontal intercept?
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make p 0 and then solve
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What shape does gross consumer surplus make?
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A triangle on top of a rectangle
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What shape does net consumer surplus make?
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A triangle
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What equation do you use to solve CV?
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Old(m/2p1)(m/2p2)=new utility
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What equation do you use to solve EV?
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New(m/2p1)(m/2p2)=old utility
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What does the substitution effect do to the budget line?
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It pivots it
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What does the income effect do to the budget line?
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it shifts it
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What is the aggregate demand for good 1?
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The sum of individual demands over all consumers
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How do you find the inverse demand?
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Solve for p
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How do you find the market demand?
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solve for q
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What is the intensive margin?
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Refers to how much per unit
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What is the extensive margin?
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Refers to how many units