(c) Prove that the household lifetime budget constraint can be written as: = [ - [C+1+R Rt Rt t=1 ao mt - wt (1 Tt) Lt - Tt S T.]. (Q11.6) where ao = (1 + ro)bo +mo/ (1 + 7). Provide an intuitive interpretation for (Q11.6). (d) Set up the Lagrangian expression for the household's optimization problem, using A as the Lagrange multiplier. Derive and interpret the first-order neces- sary conditions characterizing the household's optimal plans regarding con- sumption, labour supply, and money holdings.