how are vectors, mrs, and marginal benefit of saving applied here.

Exercise 6. Assume U(c1,c2) = u(c1) + n. (c2), Where ,6 6 [0,1]. Suppose that ((1,150) is an Arrow-Debreu competitive equilibrium, Where c E (cm:1 2 E ({Cg'}:=0 , {c3}:=0) denotes the equilibrium allocation, and p E {pt}:=0 denotes the price system. 1. Show that equilibrium prices are only determined up to a positive multiplicative constant, so we can always set pt = 1 for one date if, and make the consumption good in that period the numeraz're or unit of account. Note: In this sense, the \"level\" of prices is indeterminate; only relative prices are deter- mined; there is no meaningful role for a unit of account in an Arrow-Debreu equilibrium. 2. Show that if u is striclty increasing, i.e., u' > 0, then equilibrium prices, 1), are strictly positive