Question

An automated server optimization pipeline adjusts cache memory $C$ (in megabytes) and latency $L$ (in milliseconds) across three sequential cycles ($k = 1, 2, 3$). The initial values at cycle $0$ are $C_0 = 100$ MB and $L_0 = 50$ ms. The state transitions occur according to the following rules:

- Cycle 1 ($k = 1$): $C_1 = C_0 + 20$, and $L_1 = L_0 - 0.2 \times C_0$.
- Cycle 2 ($k = 2$): If $L_1 \le 35$, then $C_2 = C_1 - 30$ and $L_2 = L_1 + 10$; otherwise, $C_2 = C_1 + 10$ and $L_2 = L_1 - 5$.
- Cycle 3 ($k = 3$): If $C_2 < 100$, then $C_3 = 1.5 \times C_2$ and $L_3 = L_2 - 15$; otherwise, $C_3 = C_2 + 20$ and $L_3 = L_2 + 5$.

Which of the following statements regarding the system metrics across these cycles are true? Select all that apply.