Final answer:
The lac operon is most highly expressed when lactose levels are high and glucose levels are low, which corresponds to option (a) high and glucose levels are low.
Step-by-step explanation:
The greatest expression of the lac operon occurs when lactose levels are high and glucose levels are low. This situation corresponds to option (a) of the provided choices. The lac operon is an inducible operon that is maximally expressed only under these conditions for a few reasons. First, the presence of lactose ensures that the inducer allolactose is present, which binds to the repressor and prevents it from blocking transcription. Second, when glucose levels are low, cAMP levels increase, which activates the catabolite activator protein (CAP) making the transcription of the lac operon more effective.
Thus, maximal activation of the lac operon, and therefore the highest level of enzyme production for the metabolism of lactose, occurs when cells detect the presence of lactose and the absence of glucose, signaling that lactose should be used as an alternate energy source.