Suppose there are two consumers, A and B, and two goods, X and Y.Consumer A is given an initial endowment of 30 units of good X and 5 units of good Y.Consumer B is given an initial endowment of 90 units of good X and 5 units of good Y.Consumer A's utility function is given by:

U_A(X,Y) = X*Y,

and consumer B's utility function is given by

U_B(X,Y) = X³*Y.

Therefore, consumer A's marginal utilities for each good are given by:

MU_X = Y

MU_Y = X

Also, consumer B's marginal utilities for each good are given by:

MU_X = 3X²Y

MU_Y = X³

Suppose the price of good Y is equal to one.What is the price of good X that will lead to a competitive equilibrium?