Optimization problem

Question

Any hints on how to solve this problem? \begin{align}\label{eq:opt} \max_{\beta_i} \quad & \alpha_0 \log_2 \left(1+ \sum_{i=1}^{N}\lambda_i^2\beta_i \right) + (1- \alpha_0) \log_2 \left(1 + \Big(\sum_{i=1}^{N} \xi_i\sqrt{\beta_i} \Big)^2 \right) \cr {{\rm s}.{\rm t}.} \quad & \sum_{i=1}^{N} \beta_i=1 ,\cr \end{align} where $0<\alpha_0<1$, $\lambda_i$, and $\xi_i$ are constants.