1. Consider the OLG model with the following specications: i Let the utility of houaehold 1' of cohort t he n{c:(t} cut-Fl\" =111'ct} }-H3 ct-ll} o Preferences are the same across individuals and across generations. i There is no population growth: N{t+ l} = NH} 11ft. .1 ya} = K{1}'1H(1}1'1 I The depreciation rate is 133%: 15 = 1. where 04: 13 {1. Questions {a} Write a young consumer1s problem. (1)} Find an individua11s savings s1{t} as a function of 111*, wt.\" and 1'; {also parameters 1'3, 11.\" and an}. {o} Determine analytically whether s1{t} increases or decreases with 1'3. {d} Write SH} as a function of the 111;: wt\