Question

In: Economics

A consumer has the following utility function ?(?, ?) = ?^0.2 ?^0.8 and Income=$800, Px =2,...

A consumer has the following utility function ?(?, ?) = ?^0.2 ?^0.8

and Income=$800, Px =2, Py =4
Note that ??? = 0.20 (y/x)^0.80 and ??? = 0.8 (x/y)^0.20

a) Find the initial equilibrium (x, y, U)
b) Assume that Px increases by 20% and Py decreases by the same percentage.

Find the new equilibrium (x, y, U).
c) Find the income and substitution effects of the above price changes.

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