To calculate the adjusted amount of energy that is available to organisms that are one trophic level above producers (i.e., primary consumers), you would consider the energy that is available to them after accounting for what producers use in respiration.
The correct response is:
net primary productivity plus amount of organic material used in respiration.
However, in ecological terms, the adjusted energy available to consumers is often derived from net primary productivity (NPP) itself, which is the energy remaining after producers have respired.
Thus, the better understanding is that primary consumers utilize energy from net primary productivity rather than adding back the respiration. But, based on the options provided, the response that mentions organic material used in respiration somewhat aligns with the concept that energy dynamics involve accounts for what is lost to respiration.
If you're considering primary production energy available to the next trophic level, it would generally just be NPP, not adding respiration back in, since NPP is already defined as gross primary productivity (GPP) minus respiration.