The percentages in the table represent the performance change from the previous month. Consider the impact of each metric on customer questions.

\begin{tabular}{|l|c|c|c|}
\hline Metric & Month 1 & Month 2 & Month 3 \\
\hline \% Customer Questions & [tex]$+8 \%$[/tex] & [tex]$+10 \%$[/tex] & [tex]$+12 \%$[/tex] \\
\hline \% Shipped On Time & [tex]$-10 \%$[/tex] & [tex]$-7 \%$[/tex] & [tex]$-5 \%$[/tex] \\
\hline \% Shipped Incorrectly & [tex]$+2 \%$[/tex] & [tex]$+4 \%$[/tex] & [tex]$+4 \%$[/tex] \\
\hline \% Discounted & [tex]$+18 \%$[/tex] & [tex]$+18 \%$[/tex] & [tex]$+14 \%$[/tex] \\
\hline Units Shipped (Thousands) & 80 & 85 & 100 \\
\hline
\end{tabular}

How impactful were shipping errors on customer questions?

- [ ] Not impactful
- [ ] Slightly impactful
- [ ] Moderately impactful
- [ ] Extremely impactful



Answer :

Let's break down the steps to determine the impact level of shipping errors on customer questions:

1. Collect the percentage increases:
- Customer questions increased by 8% in Month 1, 10% in Month 2, and 12% in Month 3.
- Shipping errors increased by 2% in Month 1, 4% in Month 2, and 4% in Month 3.

2. Calculate the cumulative increase:
- Sum the percentage increases for customer questions:
[tex]\[ 8\% + 10\% + 12\% = 30\% \][/tex]
- Sum the percentage increases for shipping errors:
[tex]\[ 2\% + 4\% + 4\% = 10\% \][/tex]

3. Determine the ratio of cumulative shipping errors to customer questions:
- The ratio is calculated by dividing the cumulative percentage increase in shipping errors by the cumulative percentage increase in customer questions:
[tex]\[ \frac{10\%}{30\%} = \frac{1}{3} \approx 0.333 \][/tex]

4. Classify the impact level based on the ratio:
- The impact levels can be classified as follows:
- Less than 0.1: Not impactful
- Between 0.1 and 0.5: Moderately impactful
- Between 0.5 and 1.0: Impactful
- Greater than or equal to 1.0: Extremely impactful

- Given our ratio of approximately 0.333, it falls within the range of 0.1 to 0.5.

Thus, the impact of shipping errors on customer questions is classified as:
[tex]\[ \boxed{\text{Moderately impactful}} \][/tex]