The question appears to be incomplete, as the phrase "qua the unit price of the commodity" does not form a clear question. Assuming the task is to simplify the expression for the sales S:
This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
The question appears to be incomplete, as the phrase "qua the unit price of the commodity" does not form a clear question. Assuming the task is to simplify the expression for the sales $S$:
Step 1: Rewrite the term $2^{n+1}$ using the exponent rule $a^{m+n} = a^m \cdot a^n$.
$$ 2^{n+1} = 2^n \cdot 2^1 = 2 \cdot 2^n $$
Step 2: Substitute this back into the expression for $S$.
$$ S = 3 \times (2 \cdot 2^n) + 2^n $$
$$ S = 6 \cdot 2^n + 2^n $$
Step 3: Factor out the common term $2^n$.
$$ S = 2^n (6 + 1) $$
$$ S = 7 \cdot 2^n $$
The simplified expression for the sales $S$ is $\boxed{7 \cdot 2^n}$.
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