Given 1:

Assume two production processes, each of which produces 200 units of output.The first (X) produces its output by combining 500 labor units of capital with 100 labor units of labor.The second (Y) produces with 100 labor units of capital and 500 labor units of labor.The wage rate is assumed to be $1 per unit of labor.The rate of profit is 0.2 (20%).

Given 2:

Now assume that the capital, which is used in X, is divided by vintage into 300 units two years before and 200 in the year before.The capital that is used in Y is entirely produced the year before.

Given 3:

Then assume that the wage rate rises to $2 per unit of labor and that the rate of profit falls to 0.1 (10%).

Question:

Calculate the prices of X and Y?