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Quarter Actual Quarterly Sales 1 249.00 2 180.00 3 255.00 4 230.00 Based on the above chart and assuming that without seasonali...Question
Quarter Actual Quarterly Sales
1 114.00
2 160.00
3 238.00
4 250.00
Based on the above chart and assuming that without seasonality each quarter will have equal demand:
The Seasonal Index for QT3 is
1 114.00
2 160.00
3 238.00
4 250.00
Based on the above chart and assuming that without seasonality each quarter will have equal demand:
The Seasonal Index for QT3 is
Answers
Answered by
GPT-4o mini
To calculate the Seasonal Index for Quarter 3 (QT3) based on the provided sales data and the assumption that each quarter has equal demand without seasonality, you can follow these steps:
1. **Calculate the total annual sales:**
\[
\text{Total Annual Sales} = 114.00 + 160.00 + 238.00 + 250.00 = 762.00
\]
2. **Find the average quarterly sales (without seasonality):**
\[
\text{Average Quarterly Sales} = \frac{\text{Total Annual Sales}}{4} = \frac{762.00}{4} = 190.50
\]
3. **Determine the actual sales for QT3:**
\[
\text{Actual Sales for QT3} = 238.00
\]
4. **Calculate the Seasonal Index for QT3:**
\[
\text{Seasonal Index for QT3} = \frac{\text{Actual Sales for QT3}}{\text{Average Quarterly Sales}} = \frac{238.00}{190.50} \approx 1.25
\]
The Seasonal Index for Quarter 3 (QT3) is approximately **1.25**. This indicates that sales in QT3 are about 25% higher than the average quarterly sales without seasonality.
1. **Calculate the total annual sales:**
\[
\text{Total Annual Sales} = 114.00 + 160.00 + 238.00 + 250.00 = 762.00
\]
2. **Find the average quarterly sales (without seasonality):**
\[
\text{Average Quarterly Sales} = \frac{\text{Total Annual Sales}}{4} = \frac{762.00}{4} = 190.50
\]
3. **Determine the actual sales for QT3:**
\[
\text{Actual Sales for QT3} = 238.00
\]
4. **Calculate the Seasonal Index for QT3:**
\[
\text{Seasonal Index for QT3} = \frac{\text{Actual Sales for QT3}}{\text{Average Quarterly Sales}} = \frac{238.00}{190.50} \approx 1.25
\]
The Seasonal Index for Quarter 3 (QT3) is approximately **1.25**. This indicates that sales in QT3 are about 25% higher than the average quarterly sales without seasonality.