Final answer:
In the scenario where the trp repressor cannot bind to its operon's operator due to a replication error, the trp operon would be continuously transcribed and translated, leading to the production of enzymes for tryptophan synthesis. The correct option is C..
Step-by-step explanation:
If a mistake during DNA replication prevents the trp repressor from binding to the operon operator, the cells placed in a solution containing chicken broth will experience continuous transcription of the trp operon.
Since the repressor cannot bind to the operator, the RNA polymerase would no longer be blocked from transcribing the downstream genes, which results in the production of enzymes involved in tryptophan synthesis.
This situation leads to answer choice (d) being incorrect as it is not related to the role of the trp operon, and (a) and (b) being impossible due to the defective binding.
Therefore, option (c) Translation of the trp operon is activated would be correct, as the outcome of the repressor's inability to bind to the operator is uninterrupted transcription and subsequent translation of the operon's genes.