In: Economics
Consider the following utility function U(X,Y) = X^1/4Y^3/4
Initially
PX = 2
PY = 4
I = 120
Suppose the price of X changes to PX = 3. Perform a decomposition
and fill in the table
X |
Y |
|
Substitution Effect |
||
Income Effect |
||
Total Effect |
here
the compensatory income I' is :(3×11.061)+(4×24.89)=132.743. This
income is obtained by putting the values of good x and good y that
the consumer would have bought at unchanged real income after the
rise in price of good x. This compensatory income is actually the
income that should be given to the consumer so that he can cope up
with the rise in price or so that he can keep his utility fixed
even after the price rise.