Answered

A store offers four different brands of a product. It decides to eliminate the brand that is most likely to be returned. The table shows the number of items of each brand that were returned over the past year and the total sold.

\begin{tabular}{|c|c|c|}
\hline & Returns & Total sold \\
\hline Brand A & 33 & 686 \\
\hline Brand B & 15 & 492 \\
\hline Brand C & 29 & 362 \\
\hline Brand D & 32 & 767 \\
\hline
\end{tabular}

Which brand should the store eliminate?

A. Brand A
B. Brand B
C. Brand C
D. Brand D



Answer :

GinnyAnswer
To determine which brand the store should eliminate, we need to calculate the return rate for each brand. The return rate can be found by dividing the number of returns by the total sold for each brand. Here are the steps:

1. Calculate the return rate for Brand A:

[tex]\[ \text{Return rate for Brand A} = \frac{33}{686} \approx 0.0481 \][/tex]

2. Calculate the return rate for Brand B:

[tex]\[ \text{Return rate for Brand B} = \frac{15}{492} \approx 0.0305 \][/tex]

3. Calculate the return rate for Brand C:

[tex]\[ \text{Return rate for Brand C} = \frac{29}{362} \approx 0.0801 \][/tex]

4. Calculate the return rate for Brand D:

[tex]\[ \text{Return rate for Brand D} = \frac{32}{767} \approx 0.0417 \][/tex]

Now, let's list the calculated return rates for each brand:

- Brand A: [tex]\(0.0481\)[/tex]
- Brand B: [tex]\(0.0305\)[/tex]
- Brand C: [tex]\(0.0801\)[/tex]
- Brand D: [tex]\(0.0417\)[/tex]

By comparing these return rates, we see that the highest return rate is for Brand C, which is approximately [tex]\(0.0801\)[/tex].

Therefore, the store should eliminate:

C. Brand C