To compare the performances of the two salespeople, we can calculate the rates that reflect their sales productivity over the months they were employed.
### Person A:
1. Months employed: 10
2. Sales attempted: 167
3. Sales made: 109
4. Sales value (millions): \[tex]$3.3
#### Calculations for Person A:
- Rate of sales made per month: To find out how many sales Person A makes per month, we divide the total sales made by the number of months employed:
\[
\text{Rate of sales made per month} = \frac{\text{Sales made}}{\text{Months employed}} = \frac{109}{10} = 10.9 \text{ sales per month}
\]
- Rate of sales value per month: To determine the average sales value Person A achieves per month, we divide the total sales in millions by the number of months employed:
\[
\text{Rate of sales value per month} = \frac{\text{Sales value (millions)}}{\text{Months employed}} = \frac{3.3}{10} = 0.33 \text{ million dollars per month}
\]
### Person B:
1. Months employed: 8
2. Sales attempted: 163
3. Sales made: 97
4. Sales value (millions): \$[/tex]2.7
#### Calculations for Person B:
- Rate of sales made per month: To find out how many sales Person B makes per month, we divide the total sales made by the number of months employed:
[tex]\[
\text{Rate of sales made per month} = \frac{\text{Sales made}}{\text{Months employed}} = \frac{97}{8} = 12.125 \text{ sales per month}
\][/tex]
- Rate of sales value per month: To determine the average sales value Person B achieves per month, we divide the total sales in millions by the number of months employed:
[tex]\[
\text{Rate of sales value per month} = \frac{\text{Sales value (millions)}}{\text{Months employed}} = \frac{2.7}{8} = 0.3375 \text{ million dollars per month}
\][/tex]
### Comparison of Performance:
- Sales made per month: Person B has a higher rate of sales made per month (12.125 sales/month) compared to Person A (10.9 sales/month).
- Sales value per month: Person B also has a slightly higher rate of sales value per month (\[tex]$0.3375 million/month) compared to Person A (\$[/tex]0.33 million/month).
Based on these rates, we can conclude that Person B has a slightly better performance in terms of both the number of sales made and the total sales value generated per month.
