Step 1: Profitability in the optimal diet model.
For prey \(i\), profitability is defined as: \[ P_i = \frac{E_i}{h_i} \] where \(E_i\) is the energy (or value) and \(h_i\) is the handling time.
Higher \(P_i \Rightarrow\) more attractive prey; when encounter rates are not vanishingly low, the predator specializes on the most profitable prey.
Step 2: Compare Q and R using handling time.
If Q has lower handling time (all else equal), it has higher profitability: \[ h_Q < h_R \;\;\Rightarrow\;\; P_Q > P_R. \] Thus option (B) supports exclusive foraging on Q. Option (A) would make Q less profitable, hence inconsistent.
Step 3: Role of encounter/abundance.
Higher encounter (greater relative abundance) of Q increases intake rate further and makes specializing on Q more favorable. Hence option (C) supports exclusive choice of Q, while (D) works against it.
Final Answer: \[ \boxed{(B) \;\; \text{and} \;\; (C)} \]
