= a. 4. An individual has the following utility function u(xz, 22, 23) = xqz? zz. Here, the individual has preferences where the consumption of x versus the zs are independent. The prices for each good are p1, p2 and p3, respectively. What is a good measure of aggregate consumption of z? Call this function Z. b. Derive the Marshallian demands for the z-goods given the expenditure on the Z-goods, mz. Derive a measure for aggregate price of Z and call this P. (Hint: you need to solve the expenditure function and assume b+c=1). c. = a. 4. An individual has the following utility function u(xz, 22, 23) = xqz? zz. Here, the individual has preferences where the consumption of x versus the zs are independent. The prices for each good are p1, p2 and p3, respectively. What is a good measure of aggregate consumption of z? Call this function Z. b. Derive the Marshallian demands for the z-goods given the expenditure on the Z-goods, mz. Derive a measure for aggregate price of Z and call this P. (Hint: you need to solve the expenditure function and assume b+c=1). c