Consider the following two-period problem for the representative consumer

Y = 50

T=5

Y2 = 20

T = 10

r = 0.10

C = consumption in the first period

C2 = consumption in the second period

S saving in the first period

U(C1, C2) min (C1, C2}

What is the optimal saving, S*, that maximizes the representative consumer's lifetime utility?