In a theoretical operon, genes \(A, B, C,\) and \(D\) represent the repressor
gene, the promoter sequence, the operator gene, and the structural gene, but
not necessarily in the order named. This operon is concerned with the
metabolism of a theoretical molecule (tm). From the data provided in the
accompanying table, first decide whether the operon is inducible or
repressible. Then assign \(A, B\) \(C,\) and \(D\) to the four parts of the operon.
Explain your rationale. \((\mathrm{AE}=\text { active enzyme; }
\mathrm{IE}=\text { inactive enzyme; } \mathrm{NE}=\text { no enzyme. })\)
$$\begin{array}{lcc}
\text { Genotype } & \text { tm Present } & \text { tm Absent } \\
A^{+} B^{+} C^{+} D^{+} & \text {AE } & \text { NE } \\
A^{-} B^{+} C^{+} D^{+} & \text {AE } & \text { AE } \\
A^{+} B^{-} C^{+} D^{+} & \text {NE } & \text { NE }
\end{array}$$
$$\begin{array}{lcc}
\text { Genotype } & \text { tm Present } & \text { tm Absent } \\
A^{+} B^{+} C^{-} D^{+} & \text {IE } & \text { NE } \\
A^{+} B^{+} C^{+} D^{-} & \text {AE } & \text { AE } \\
A^{-} B^{+} C^{+} D^{+} / F^{\prime} A^{+} B^{+} C^{+} D^{+} & \text {AE } &
\text { AE } \\
A^{+} B^{-} C^{+} D^{+} / F^{\prime} A^{+} B^{+} C^{+} D^{+} & \text {AE } &
\text { NE } \\
A^{+} B^{+} C^{-} D^{+} / F^{\prime} A^{+} B^{+} C^{+} D^{+} & A E+I E & N E
\\\
A^{+} B^{+} C^{+} D^{\prime} / F^{\prime} A^{+} B^{+} C^{+} D^{+} & A E & N E
\end{array}$$