Question: Can someone help me how to solve this please so i can understand better Suppose there are two consumers, A and B. The utility functions

Can someone help me how to solve this please so i can understand better

Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA( X,Y) = X3 . Y UB( X,Y) = X"Y Therefore: . For consumer A: MUx = 3X2y; MUy = X3 . For consumer B: MUx = Y; MUY = X The initial endowments are: A: X = 30; Y = 90 B: X = 50; Y = 60 a) (16 points) Suppose the price of Y, Py = 1. Calculate the price of X, Px that will lead to a competitive equilibrium. b) (8 points) 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: c) (4 points) What is the marginal rate of substitution for consumer A at the competitive equilibrium

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