Before revision:  For 0<\lambda<1, we are able to find four boundary curves x_1(h), (h), x_2(h) and x_3(h) for the wealth level x that are nonlinear functions of h such that the feedback optimal consumption satisfies: (i) c^*(x,h)=0 when x\leq x_1(h); (ii) 0<c^*(x,h)<\lambda h when x_1(h)<x< (h);
After revision:  For 0<\lambda<1, we are able to find four boundary curves x_1(h),  (h);