4. Consider an economy with two goods, 1 and 2. A consumer consumes :1 units of good 1 and 1:; units of good 2. The relative price of good 1 is p. Given any utility function u(x1, 12) for the consumer, the compensated (i.e. Hicksian) de- mand is calculated by minimising expenditure subject to u(x1, x2) = u, where U is some given utility level. Suppose the consumer's utility function is u(x1,x2) = x] + 3:2. The compen- sated demand for good 2 does not depend on p. Is this true or false? Derive the compensated demand for good 2 and explain your