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1. Assume that an individual maximizes his intertemporal utility
Ｕ（Ｃ^1,Ｃ^2,...,Ｃ^T,ｑ） from the consumption of a stream of
commodity Ｃ^t , which depends on the time Ｓ spent on the production
of Ｃ and the monetary expenditure Ｍ spent on the production of Ｃ ,
where t = 1,2,3,...,T , and another commodity ｑ , which depends on
the Ａ spent on the production Ｃ , and good Ｇ from the
ｑ＝ｑ（Ａ^1,Ａ^2,...,Ａ^T,Ｇ^1,Ｇ^2,...,Ｇ^T）.
__
(A) If the individual has a time endowment Ｈ in every period , a wage
__
rate ｗ , non-labor income Ｉ in every period during his lifetime ,
and the discount rate is ｒ , what will be the optimal conditions
for this individual to maximize his intertemporal utility.
(B) Discuss the relationships of Ａ^t,Ｇ^t,Ｓ^t,Ｍ^t with time t ,
respectively.
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