Problem

A store offers four different brands of a product. It decides to eliminate one brand based on the likelihood a customer will return that brand. The table shows the number of items of each brand that were returned over the past year and the total sold.
\begin{tabular}{|l|c|c|}
\hline & Returns & Total sold \\
\hline Brand A & 33 & 409 \\
\hline Brand B & 37 & 777 \\
\hline Brand C & 18 & 558 \\
\hline Brand D & 36 & 869 \\
\hline
\end{tabular}
Which brand should the store consider eliminating?
A. Brand B
B. Brand $A$
C. Brand D
D. Brand $C$

Answer

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Answer

\(\boxed{\text{The store should consider eliminating Brand A}}\)

Steps

Step 1 :Calculate the return rate for each brand: \(\frac{Returns}{Total\ sold}\)

Step 2 :Brand A: \(\frac{33}{409} = 0.0807\)

Step 3 :Brand B: \(\frac{37}{777} = 0.0476\)

Step 4 :Brand C: \(\frac{18}{558} = 0.0323\)

Step 5 :Brand D: \(\frac{36}{869} = 0.0414\)

Step 6 :Find the brand with the highest return rate: Brand A

Step 7 :\(\boxed{\text{The store should consider eliminating Brand A}}\)

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