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 $C$
Solution
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 ：\(\boxed{\text{The store should consider eliminating Brand A}}\)
