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max99 Posts: > 500

Okay quick one, my head is stuck 2day and this simple thing isnt working in my head

Equation: Lerner Index = (Price Minus Marginal Costs) / Price

Lerner index is 0.65, Marginal Cost is £35, whats P ? (price)

Thanks
Max
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Posted: 2009-02-22 18:57:33
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masseur Posts: > 500

starting with l = (p - m) / p

divide right side top and bottom by p gives

l = (1 - m/p) / 1

i.e.
l = 1 - m/p

take m/p to the left (making it positive) and bring the l to the right, this gives

m/p = 1 - l

i.e. 35 /p = 1 - .65

which is

35 /p = .35

from here you can see p must be 100. if not... take the p to the right and the .35 to the left giving

35/.35 = p

therefore p = 100

check by putting 100 back into the original equation

.65 = ( 100 - 35 ) /100

.65 = 65 / 100

.65 = .65

QED
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Posted: 2009-02-22 19:23:20
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max99 Posts: > 500

cheers mate, appreciate it always forget i can divide both sides by p !!!
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Posted: 2009-02-22 19:28:05
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modaristis Posts: 1

you could also do this:

I = (p-m)/p
.65 = (p-35)/p
65/100 = (p-35)/p
65*p = 100*(p-35)
65*p = 100*p - 3500
100*p - 65*p = 3500
35*p=3500
p=3500/35
p=100
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Posted: 2009-02-22 19:28:22
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