Cost min Flashcards

(31 cards)

1
Q

Equation of the isocost curve?

A

x2 =c2/w2 - w1/w2 (x1)

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2
Q

Where is the optimal choice on an isocost?

A

Lowest possible isocost curve

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3
Q

What’s the tangency condition in a cost minimisation problem?

A
  • w1/w2 = - MP1/ MP2 (TRS)
    slope isocost = slope isoquant
    where MPi = dY/dXi
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4
Q

What does a firm choose in a competitive market?

A

Only x1 not the price - price taker

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5
Q

What would happen if a firm in a comp. market would choose to sell at a lower than market price.

A

It would capture the entire market but still make less revenue since it can sell indefinitely many goods at market price.

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6
Q

What’s the formula for profit?

A

π = pY-c(y)

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7
Q

What’s the formula for marginal cost?

A

dc(y)/dY

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8
Q

What’s the condition for profit max in a competitive market?

A

p = mc(Y)
mr = mc(Y)

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9
Q

What’s special about the price and marginal revenue in a perfectly competitive market?

A

They are the same

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10
Q

What’s the firms’ supply curve in a perfectly competitive market?

A

The MC curve above AC

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11
Q

What’s the short run shut down price in a perfectly competitive market

A

p < AVC
Firm chooses not to produce (y=0)

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12
Q

What’s the producer surplus in a perf. comp. market?

A

Py - Cv(y) = producer surplus

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13
Q

What’s the long run shut down condition in a perf. comp. market?

A

p < AC(Y)

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14
Q

What’s the thing about Average costs in the long run

A

AC = AVC because all costs are variable in the long run

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15
Q

What does market demand consist of?

A

Sum of all individual demands

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16
Q

What’s the formula for elasticity?

A

E = p/q x dq/dp
point x slope

17
Q

Where on a perfectly linear demand curve is E = 1

18
Q

What’s the elasticity above the midpoint of a linear demand function?

19
Q

What’s the elasticity below the midpoint of a linear demand function?

20
Q

Math Def of elastic demand

21
Q

Math Def of inelastic demand

22
Q

What’s the formula for revenue?
And it’s first differentiation?

A

R = p x q(p)
dR/dp = q(P) (1+E)

23
Q

If demand is elastic what does that mean for revenue?

A

E < -1
Price increases, revenue falls

24
Q

If demand is inelastic what does that mean for revenue?

A

0 > E > -1
price increases, revenue increases

25
What does Pareto efficient mean?
No mutually beneficial gains from trade are available
26
What's a quantity tax
A tax per unit sold
27
Math Def of a quantity tax
Pd = Ps + t Price paid by buyer = Price received by seller + tax
28
What's understood as the legal incidence?
Ps = Pd + t
29
What's the Equilibrium condition with a per unit tax?
D(Pd) = S(Ps) D(Pd) = S(Pd + t)
30
Burden of a tax on Buyers?
Pd - P*
31
Burden of the tax on sellers
P* - Ps