Consider a dynamic (two-period) macroeconomic model With a representative household, a representative rm, and a government. The representative household makes consumption- saving and labor supply decisions. The representative rm makes labor demand and invest- ment decisions. (a) Clearly write down the representative consumer's problem and the necessary assump tions. (b) Clearly write down the representative rm's problem and the necessary assumptions. (0) Clearly denite the competitive equilibrium for this economy. (d) Derive (graphically) the output demand curve. State the necessary assumption(s)