Question #51461

Given the following monotonically transformed utility function faced by the consumer
U(X1X2) = X_1^0.5 X_2^0.5
The price of good X1 is P1 and the price of good X2 is P2.
Derive the optimal demand (Marshallian demand) function for X1 and for X2.

Expert's answer

U(X1X2) = X1^0.5 X2^0.5

The price of good X1 is P1 and the price of good X2 is P2.

Marshallian demand (dX1) is a function of the price of X1, the price of

X2 (assuming two goods) and the level of income or wealth (m):

X*=dX1(PX1, PX2, m)

Optimal demand (Marshallian demand) function for X1 and for X2 will be:

X = (0.5I/P1, 0.5I/P2)

The price of good X1 is P1 and the price of good X2 is P2.

Marshallian demand (dX1) is a function of the price of X1, the price of

X2 (assuming two goods) and the level of income or wealth (m):

X*=dX1(PX1, PX2, m)

Optimal demand (Marshallian demand) function for X1 and for X2 will be:

X = (0.5I/P1, 0.5I/P2)

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