A consumer of two goods has indirect utility (a) Find the indirect money-metric utility e(p, v(p, w)). (b) Calculate the compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', u') = ((1,9), 5). v(p, w) = -1/2 P₁ + P₂ can you explain the notation please break it down each part of it, please teach Ho do you know where to place the values? The indirect money-metric utility e(p, v(p, w)) can be calculated as follows: e(p, v(p, w)) = v(p, w) - ((p1 * w1) + (p2 * w2)) plugging in the values from the problem, we get: e(p, v(p, w)) = (sqrt(w))/p1^-8.5+p2^-0.5 - ((44) + (9 * 5)) e(p, v(p, w)) = 2 - 41 e(p, v(p, w)) = -39 The compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', w') = ((1,9), 5) can be calculated as follows: CV = e(p', w')- e(p, w) plugging in the values from the problem, we get: CV = -39 - (-41) CV = 2 This means that the consumer would be willing to pay up to $2 in order to maintain their original level of utility.
A consumer of two goods has indirect utility (a) Find the indirect money-metric utility e(p, v(p, w)). (b) Calculate the compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', u') = ((1,9), 5). v(p, w) = -1/2 P₁ + P₂ can you explain the notation please break it down each part of it, please teach Ho do you know where to place the values? The indirect money-metric utility e(p, v(p, w)) can be calculated as follows: e(p, v(p, w)) = v(p, w) - ((p1 * w1) + (p2 * w2)) plugging in the values from the problem, we get: e(p, v(p, w)) = (sqrt(w))/p1^-8.5+p2^-0.5 - ((44) + (9 * 5)) e(p, v(p, w)) = 2 - 41 e(p, v(p, w)) = -39 The compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', w') = ((1,9), 5) can be calculated as follows: CV = e(p', w')- e(p, w) plugging in the values from the problem, we get: CV = -39 - (-41) CV = 2 This means that the consumer would be willing to pay up to $2 in order to maintain their original level of utility.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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how to know what are the price to uses ?
p w =(( ,), ,) what are the numbers in the brackets p1?
please resolve clearly
Transcribed Image Text:A consum
sumer of two goods has indirect utility
v(p, w) =
√w
-1/2
P₁ + P₂
(a) Find the indirect money-metric utility e(p, v(p, w)).
(b) Calculate the compensating variation associated with the change from (p, w) = ((4,4), 2)
to (p', w')= ((1,9), 5).
can you explain the notation please break it down each part of it, please teach How
do you know where to place the values?
The indirect money-metric utility e(p, v(p, w)) can be calculated as follows:
e(p, v(p, w)) = v(p, w) - ((p1* w1) + (p2 * w2))
plugging in the values from the problem, we get:
e(p, v(p, w)) = (sqrt(w))/p1^-0.5+p2^-0.5- ((44) + (9 * 5))
e(p, v(p, w)) = 2 - 41
CV = 2
e(p, v(p, w)) = -39
The compensating variation associated with the change from (p, w) = ((4,4), 2) to (p', w')= ((1,9),
5) can be calculated as follows:
CV = e(p', w')- e(p, w)
plugging in the values from the problem, we get:
CV-39 (-41)
This means that the consu would be willing to pay up to $2 in order to maintain their original
level of utility.
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