This is a steady state condition that utilization is normalized to 1 in steady state. If you were to set an arbitrary number that would not be true anymore.
No, the return to capital is determined by the investment and the utilization FOC. Firms rent capital services. You need to know the utilization and the amount of capital to determine the return.
Much obliged for your response.
However, I am still confused how the expression for gamma1 is derived. Would you be so kind to point at something specific?
Since before I thought that utilization rate u=1 is just something we treat as given in the steady state, no need for specific normalizations and so on.