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The following information is available for the reaction,
\[
\begin{array}{l}
\mathrm{R} \rightarrow \mathrm{P} \text {. } \\
\mathrm{R} \longrightarrow \mathrm{P}: \quad \text { rate }=\mathrm{r}_{1} \\
\mathrm{R} \longrightarrow \mathrm{A} \longrightarrow \mathrm{P}: \quad \text { rate }=\mathrm{r}_{2} \\
\mathrm{R} \longrightarrow \mathrm{B} \longrightarrow \mathrm{P}: \quad \text { rate }=\mathrm{r}_{3} \\
\mathrm{R} \longrightarrow \mathrm{C} \longrightarrow \mathrm{P}: \quad \text { rate }=\mathrm{r}_{4} \\
\mathrm{R} \stackrel{\mathrm{D}}{\longrightarrow} \mathrm{P}: \quad \text { rate }=\mathrm{r}_{5} \\
\mathrm{R} \stackrel{\mathrm{A}+\mathrm{C}}{\longrightarrow} \mathrm{P}: \quad \text { rate }=\mathrm{r}_{6} \\
\mathrm{R} \stackrel{\mathrm{A}+\mathrm{D}}{\longrightarrow} \mathrm{P}: \quad \text { rate }=\mathrm{r}_{7} \\
\end{array}
\]
If \( r_{3}r_{1}=r_{4}=r_{5}r_{7}r_{2}r_{6} \), then the only incorrect statement is
(a) \( \mathrm{B} \) is an inhibitor
(b) \( \mathrm{C} \) is a catalytic promoter of catalyst \( \mathrm{A} \)
(c) \( \mathrm{D} \) is a catalytic poison of catalyst \( \mathrm{A} \)
(d) A is a catalytic promoter of catalyst \( \mathrm{C} \)
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