Maximize the following utility function subject to a budget constraint:

U(C) = ∫[0,∞) e^(-ρt) * (C(t)^(1-σ) - 1)/(1-σ) dt

subject to:

dK/dt = rK(t) + wL(t) - C(t)

where:

C(t) = consumption at time t

K(t) = capital stock at time t

L(t) = labor supply at time t

r = interest rate

w = wage rate

ρ = discount rate

σ = risk aversion parameter

Solve for the optimal consumption path C(t).