Answer this question using calculus.

1. Answer this question using calculus. Consider a version of the two period general equilibrium model with pro- duction, as seen in the notes. Extend the model to allow for three periods instead of two. (a) Formally define a competitive equilibrium in this economy. 3 points] (b) Write down the household's problem, and generate first order conditions. [3 points] (c) Interpret the household's first order conditions. You only need to in- terpret the intertemporal and intratemporal conditions once each. [3 points (d) Write down the representative firm's problem, and generate first order conditions. [3 points] (e) Generate equations that characterize the equilibrium allocation and prices. [3 points]