Suppose there are two consumers, A and B.

The utility functions of each consumer are given by:

U_A(X,Y) = X^*Y

U_B(X,Y) = X*Y³

Therefore:

For consumer A: MU_X= Y; MU_Y= X

For consumer B: MU_X= Y³; MU_Y= 3XY²

The initial endowments are:

A: X = 10; Y = 6

B: X = 14; Y = 19

How much of each good does each consumer demand in equilibrium?

Consumer A's Demand for X:

Consumer A's Demand for Y

Consumer B's demand for X

Consumer B's demand for Y