Formulas Flashcards

1
Q

MC =

A

MC = derivative of TC

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2
Q

MR =

A

MR = derivative of TR

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3
Q

ATC =

A

ATC = TC/Q

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4
Q

How do we find P & Q for a normally priced consumer co-op?

A

To find P & Q for a normally priced co-op, set D=MC
aka: MVP = MC just like a producer co-op.

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5
Q

TR =

A

TR = P * Q

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6
Q

How do we find optimal Q for a consumer IOF?

A

IOF operates where MR=MC for Q

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7
Q

Where does MC = AC?

A

Where AC is at a minimum MC = AC

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8
Q

How do we find the profit of a consumer co-op?

A

Co-op profit = (MC - AC) *Q

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9
Q

Where do we find the maximum member welfare for a consumer co-op?

A

Max. member welfare where D=MC

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10
Q

What is the member welfare of a consumer co-op?

A

Member welfare = CS+Profit

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11
Q

How do we find Q for a single firm co-op that is a producer (buys inputs)?

A

Q & P @ MC = MVP

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12
Q

MPP =

A

MPP = derivative of TP = derivative of Y

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13
Q

MVP =

A

MVP = MPP*P(y)

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14
Q

How do we find the demand equation for X?

A

MVP = demand equation for X

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15
Q

NARP =

A

NARP = ((P(y)*Y)-FC)/X

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16
Q

Where is NARP at a maximum?

A

NARP is at a maximum where NARP = MVP

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17
Q

Is NARP the same for a monopsonist and a co-op?

A

Yes! NARP is the same for a monopsonist and a co-op, monopsonists just ignore it.

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18
Q

Where do we find NARP pricing?

A

NARP pricing @ NARP = MC

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19
Q

How do we find price for a consumer co-op?

A

MC = D for pricing of a consumer co-op

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20
Q

How do we find pricing for a producer co-op?

A

MC = MVP for pricing of a producer co-op.

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21
Q

What is the maximum price a producer coop can offer?

A

MVP = NARP gives us max NARP and max. pricing.
** at this price there will have to be quotas

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22
Q

How do we find P & Q for a monopoly?

A

Monopoly P & Q:
Q@ MR=MC ,
then up to D for P.

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23
Q

How do we find pricing for a competitive producer IOF?

24
Q

How do we solve a quadratic equation?

25
How do we find pricing for a monopsony?
Monopsony Q: MO = MVP Monopsony P: MC @ Q we just found
26
How do we multiply an individual's demand curve out to an aggregate demand curve?
Must put the equation into the form X=___xz
27
If a co-op is acting as a monopolist, how do we find member welfare?
CS + ((P(m)-MC)*Q) + ((MC-AC)*Q)
28
What is minimum cost pricing (consumer co-op)?
AC = MC
29
What is average cost pricing (consumer co-op)?
D = AC *** P
30
Consumer co-op pricing when members factor patronage into price?
AC = D ** P
31
MVP
MVP = MPP*Py
32
NARP
NARP = ((Py*Y)-FC))/X
33
How do we find the profit/patronage for a producer co-op?
(NARP - MVP)*Q
34
TO = ?
Total Outlay = X * MC = X * P
35
MO
Marginal Outlay = derivative of TO
36
How do we find Q for a producer IOF?
MO = MVP
37
What is NARP pricing for a producer co-op?
NARP = MC
38
What is the demand equation for a producer co-op? Y is output /sold, X is input/bought.
Py=f(y)
39
What is the supply equation for a producer co-op? Y is output/sold, X is input/bought.
Y = f(x) so Y = f(Px, Py)
40
MPP = ?
MPP = derivative of Y MPP = Change in Y / Change in X
41
MVP = ?
MVP = MPP*Py
42
How do we calculate member welfare with a producer co-op?
MW = ((Py * Y)-(Px * X)-FC) + ((Px * X)-Space under dx(X0)) MW = (Py * Y)-(space under dx(X0))-FC
43
How do we find optimal membership for a consumer co-op?
Set D = MC = AC - AC will be lowest - MC won't be higher than AC - D will generally have to be a lot smaller than it currently is you can take that price and put it back into the individual member demand curve - equal to the MVP from the individual production function before you multiply it by 24 to get aggregate demand. Then divide the total quantity you calculated at AC=MC by the individual or small x you calculated and that will tell you optimal membership. Q (optimal membership)/X(individual)= M(ideal membership)
44
Where do we find optimal membership with a producer co-op?
NARP = MVP = S
45
How do we find TR for a producer co-op if we aren't given an equation for it?
TR = P(y) * Q(y)
46
When looking at a producer co-op, what is the Y=...X.... equation referring to?
TP
47
How do we find the profit for a monopsony?
Profit*monopsony* = (P(y) * Y)-(P(x) * X)-FC
48
How do we find P for maximum pricing of a producer co-op?
Plug the Q we found at MVP=NARP back into either MVP or NARP. DO NOT PLUG IT INTO MC!
49
If a co-op is acting as a monopolist, how do we find the total patronage?
((P-MC) * Q) + ((MC-AC) * Q)
50
What is the value of import quota?
(Cost of Production - world price) * imports = import quota value
51
What is the value of production quota?
(Cost of Production - Marginal Cost Price) * production quota = production quota value
52
How do we determine how much will be imported in a quota system?
Imports = Qty D - Production Quota
53
What's the formula for import quota rent?
(Cost of Production - World Price) * (Qty D - Production Quota)
54
What is NARP?
Net Average Revenue Pricing
55
What is MPP?
Marginal Physical Product
56
What is CS?
Consumer Surplus
57
What is an IOF?
Investor Owned Firm