To decide which brand to eliminate, we need to calculate the return rate for each brand. The return rate can be calculated using the formula:
[tex]\[ \text{Return Rate} = \frac{\text{Number of Returns}}{\text{Total Sold}} \][/tex]
Let's compute the return rate for each brand step-by-step.
1. Brand A:
[tex]\[
\text{Return Rate}_A = \frac{33}{685} \approx 0.0482
\][/tex]
2. Brand B:
[tex]\[
\text{Return Rate}_B = \frac{15}{492} \approx 0.0305
\][/tex]
3. Brand C:
[tex]\[
\text{Return Rate}_C = \frac{29}{361} \approx 0.0803
\][/tex]
4. Brand D:
[tex]\[
\text{Return Rate}_D = \frac{31}{766} \approx 0.0405
\][/tex]
Now, we compare these return rates:
- Brand A: [tex]\( \approx 0.0482 \)[/tex]
- Brand B: [tex]\( \approx 0.0305 \)[/tex]
- Brand C: [tex]\( \approx 0.0803 \)[/tex]
- Brand D: [tex]\( \approx 0.0405 \)[/tex]
The highest return rate is for Brand C, which is approximately [tex]\(0.0803\)[/tex].
Therefore, the store should eliminate:
[tex]\[
\boxed{\text{Brand C}}
\][/tex]
