Consider an agent that attempts to continuously inspect a closed environment safely.

Ram and Raghav work to arrive at a reward model for this MDP$.$ Ram proposes $-20$ and

$+20,$ respectively, for bumping against the wall and safely exploring. Raghav proposes a

change in the rewards such that subtracts $10$ from both positive and negative rewards

$($i$.$e$.,-30$ and $10$ instead of $-20$ and $+20).$ They have their arguments for the choice of

reward suggestions. Explain mathematically the difference between Ram$$s and Raghav$$s

proposals $[3$ M$].$ Will there be differences in their proposals if the task is episodic with

$=1?[1$ M