In: Economics
Consider a two-person (1 and 2) two good (X and Y) exchange economy. The marginal rate of substitution (of good X in terms of good Y) utility function of person i
Person 1: MRS1 = 2y1 /x1
Person 2: MRS2 = y2 /(5x2)
where xi and yi denote respectively person i's the consumption amount of good X and good Y, i=1, 2.
Their endowments are given in the following table
Endowment of X Endowment of Y
Person 1 10 26
Person 2 28 26
What is the equilibrium relative price of good X assuming "perfect competition"?