Size and power of a one-sided UMP test

Let $X$ be a single observation from a distribution having probability density function $f_\theta(x) = \begin{cases} 2x/\theta^2, & 0 < x < \theta \ 0, & \text{otherwise} \end{cases}$, where $\theta \in (0, \infty)$. For testing $H_0: \theta \le 1$ against $H_1: \theta > 1$, at level of significance 0.05, let $\beta_1$ be the size of the uniformly most powerful test and $\beta_2$ be the power of the uniformly most powerful test at $\theta = 2$. Then $10\beta_1 + 40\beta_2$ equals ________ (answer in integer).