Given MUx = X, MUY = 4Y, Price of X is 3 Birr per unit and price of Y is also 3 Birr per unit. If the income of the consumer is 1200 Birr, find the amounts of X and Y that the consumer chooses to consume so as to maximize his utility.

Given MUx = X, MUY = 4Y, Price of X is 3 Birr per unit and price of Y is also 3 Birr per unit. If
the income of the consumer is 1200 Birr, find the amounts of X and Y that the consumer chooses
to consume so as to maximize his utility.