answer the following question below

Consumer i's indirect utility function is of the form: . . . mi mi \"1(P1:P2:ml) = \"I + _ + _ P1 P2 where a' is a positive constant, and inI is her income. (a) (b) (C) (d) (6) Verify that vi(p1,p2,m') satises the monotonicity and homogeneity properties of the indirect utility mction. Derive consumer E's Marshallian demand mctions for good 1 and good 2. Derive consumer E's Hicksian demand functions for good 1 and good 2. Are good 1 and good 2 complements or substitutes? Justify your answer using the substitution term in the Slutsky equation. Suppose there are a total of I such consumers (that is, i = 1, 2, ..., I). Derive the aggregate (Marshallian) demand mctiOn for good 1. Let M be the aggregate income. Can this aggregate demand function be written as a function of (pi, p2, M)