question
income elasticity of demand
answer
% change in quantity demanded / % change in income (dQ/dY * Y/Q)
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substitution effect
answer
the change in quantity demanded when the good's price increases, holding other prices and consumer utility constant
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income effect
answer
the change in quantity demanded when purchasing power (income) changes, holding prices constant.
question
MRS (marginal rate of substitution)
answer
- dq2/dq1 or the negative marginal utility of good 1/ marginal utility of good 2
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MRT (marginal rate of transformation)
answer
- p1/p2
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MPL (marginal product of labor)
answer
dq/dL
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APL (average product of labor)
answer
q/L
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MRTS (marginal rate of technical substitution)
answer
-MPL/MPK
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law of diminishing marginal utility
answer
dMPL/dL
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Returns to scale
answer
rate at which output increases as inputs are increased proportionately
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constant returns to scale
answer
When input increased equals the increase in output
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increasing returns to scale
answer
When input increase is less than then increase in output
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decreasing returns to scale
answer
When increase in inputs is greater than the increase in output
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Cobb-Douglas Returns to Scale
answer
q = AL^aK^b
a+b = 1 Constant RTS
a+b > 1 Increasing RTS
a+b < 1 Decreasing RTS
a+b = 1 Constant RTS
a+b > 1 Increasing RTS
a+b < 1 Decreasing RTS
question
CES (Constant Elasticity of Substitution utility function)
answer
[q1^𝞺 + q2^𝞺]^(1/𝞺).
0 != 𝞺 <= 1 , 𝞼 = 1/(1-𝞺)
0 != 𝞺 <= 1 , 𝞼 = 1/(1-𝞺)
question
Demand Functions of a CES
answer
qi = [pi^(1-𝞼)/(p1^(1-𝞼) + p2^(1-𝞼))] * (Y/pi)
i = 1, 2
i = 1, 2
question
Cobb-Douglas
answer
U(q1, q2) = q1^a * q2^b
question
Demand function of Cobb Douglas
answer
q1 = (a/a+b)(Y/p1) , q2 = (b/a+b)(Y/p2)
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MRS of a Cobb Douglas
answer
-(a/a-1)(q2/q1)
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Incident of a small per unit tax on consumer
answer
n / n - e (n = elasticity of supplier, e = elasticity of demand)
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Profit Maximizing solution for Monopolists
answer
MR = MC
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Long-Run Supply Curve
answer
Min of AC curve
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Revenue
answer
p(x) * q
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maximizing utility
answer
MRS = MRT
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Profit maximizing scenario for competitive firms
answer
p = MC
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Proft = 0 for competitive firms @
answer
MC = AC
question
Finding Shutdown Scenario
answer
q @ AVC = MC
if p < AVC(q) shutdown
if p < AVC(q) shutdown