1. **Stating the problem:**
We want to estimate the expected sales next year if the multinational company uses the maximum advertising budget in the most efficient way based on the given data.
2. **Understanding the data:**
- Maximum advertising spends (in thousands of euros):
- TV: 296.40
- Radio: 4,652.80
- Newspapers: 114.00
- Pearson correlation coefficients with sales:
- TV: 0.901
- Radio: 0.350
- Newspapers: 0.158
3. **Key insight:**
The most efficient advertising type is the one with the highest correlation with sales, which is TV advertising ($r=0.901$).
4. **Approach:**
Assuming sales are most influenced by TV advertising, we estimate sales based on the maximum TV spend.
5. **Calculate average sales per unit of TV advertising:**
Total sales sum = 3,026.10 (thousands of euros)
Total TV spend sum = 29,408.50 (thousands of euros)
Average sales per unit TV spend = $$\frac{3,026.10}{29,408.50} \approx 0.1029$$
6. **Estimate sales for maximum TV spend:**
Maximum TV spend = 296.40
Expected sales = $$296.40 \times 0.1029 \approx 30.47$$ (thousands of euros)
7. **Adjusting for scale:**
The options are in euros, so multiply by 1000:
Expected sales = $$30.47 \times 1000 = 30,470$$ euros
8. **Compare with options:**
The closest option is D. 23,427 euros, but our estimate is higher.
9. **Considering correlation less than 1:**
Since correlation is 0.901, actual sales might be lower. Multiply by correlation:
Adjusted sales = $$30,470 \times 0.901 \approx 27,450$$ euros
10. **Final estimate:**
Closest option to 27,450 euros is D. 23,427 euros.
**Answer: D. 23,427 euros**
Sales Estimate A6125C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.