Let's determine who earned the most commission by following these steps for each salesperson:
1. Calculate the total sales for each individual:
- Multiply the number of items sold by the cost of each item.
2. Calculate the commission:
- Multiply the total sales by the rate of commission (expressed as a decimal).
3. Compare the commissions to find who earned the most.
Let's go through the calculations for each salesperson:
### Arturo:
- Rate of commission: 6.25%
- Number of items sold: 8
- Cost of each item: \[tex]$70
\[
\text{Total sales for Arturo} = 8 \times 70 = \$[/tex]560
\]
[tex]\[
\text{Commission earned by Arturo} = 560 \times \frac{6.25}{100} = 560 \times 0.0625 = \$35.00
\][/tex]
### Dean:
- Rate of commission: 5.50%
- Number of items sold: 14
- Cost of each item: \[tex]$30
\[
\text{Total sales for Dean} = 14 \times 30 = \$[/tex]420
\]
[tex]\[
\text{Commission earned by Dean} = 420 \times \frac{5.50}{100} = 420 \times 0.055 = \$23.10
\][/tex]
### Ruth:
- Rate of commission: 6.50%
- Number of items sold: 7
- Cost of each item: \[tex]$80
\[
\text{Total sales for Ruth} = 7 \times 80 = \$[/tex]560
\]
[tex]\[
\text{Commission earned by Ruth} = 560 \times \frac{6.50}{100} = 560 \times 0.065 = \$36.40
\][/tex]
### Salena:
- Rate of commission: 6.75%
- Number of items sold: 15
- Cost of each item: \[tex]$20
\[
\text{Total sales for Salena} = 15 \times 20 = \$[/tex]300
\]
[tex]\[
\text{Commission earned by Salena} = 300 \times \frac{6.75}{100} = 300 \times 0.0675 = \$20.25
\][/tex]
### Comparing Commissions:
- Arturo: \[tex]$35.00
- Dean: \$[/tex]23.10
- Ruth: \[tex]$36.40
- Salena: \$[/tex]20.25
The highest commission was earned by Ruth with \$36.40. Therefore, the salesperson who earned the most in commission is:
C. Ruth
