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Following U(x, y) = xo-3 YOS is the utility function of a person who consumes two goods in quantities x and y, respectively. The price

Following U(x, y) = xo-3 YOS is the utility function of a person who consumes two goods in quantities x and y, respectively. The price of x is PX = 5 and the price of y is Py = 8 and person's income is m 160.Find the optimal consumption choice of this person.

a) Assume that the price of x falls to P = 4. Calculate the person's demand for X at the new price. Also calculate the compensated income, m2.

b) Decompose the change in demand for good X into a substitution and an income effect.

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