Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function

The full utility of economic activity is investigated in article. In the case of the Cobb-Douglass production function and the economic resource $K(t)=K_0e^{-\lambda t}$, it is proved that the exponent of $\lambda$ that delivers the maximum of total utility is in a certain interval.