Consider the following two-period model of consumption and saving: Utility =?10.5+?***?20.5?1+?21+?=?1+?21+? ?where ?1=4,?2=7,?=0.11 ?and ?=0.5. ?Find a numerical solution for period 1 ?consumption, C1.

Consider the following two-period model of consumption and saving: Utility = C1^0.5 + B*C2^0.5 C1 + C2/(1+r) = Y1 + Y2/(1+r) where Y1 = 4, Y2 = 7, r = 0.11 and B = 0.5. Find a numerical solution for period 1 consumption, C1