Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Let's analyze the sales and earnings for each employee based on their commission structure for the month of February:
1. Employee \#1:
- Earnings: 4.7 thousand dollars.
- Commission structure: [tex]$2,000 + 3\%$[/tex] of all sales.
To find the sales, we set up the equation:
[tex]\[ 2000 + 0.03 \times \text{sales} = 4700 \][/tex]
Solving for sales:
[tex]\[ 0.03 \times \text{sales} = 4700 - 2000 \][/tex]
[tex]\[ 0.03 \times \text{sales} = 2700 \][/tex]
[tex]\[ \text{sales} = \frac{2700}{0.03} = 90000 \text{ dollars} \][/tex]
2. Employee \#2:
- Earnings: 4.9 thousand dollars.
- Commission structure: [tex]$7\%$[/tex] of all sales.
To find the sales, we set up the equation:
[tex]\[ 0.07 \times \text{sales} = 4900 \][/tex]
Solving for sales:
[tex]\[ \text{sales} = \frac{4900}{0.07} = 70000 \text{ dollars} \][/tex]
3. Employee \#3:
- Earnings: 4.4 thousand dollars.
- Commission structure: [tex]$5\%$[/tex] on the first \[tex]$40,000 and $[/tex]8\%[tex]$ on anything over \$[/tex]40,000.
To find the sales, we need to consider the two different commission rates.
Let's determine whether the earnings are only from the [tex]$5\%$[/tex] commission on the first \[tex]$40,000. \[ 0.05 \times 40000 = 2000 \text{ dollars} \] Since earnings exceed 2000 dollars, there must be additional sales earning the $[/tex]8\%[tex]$ commission: \[ 0.05 \times 40000 + 0.08 \times (\text{sales} - 40000) = 4400 \] Solving this equation: \[ 2000 + 0.08 \times (\text{sales} - 40000) = 4400 \] \[ 0.08 \times (\text{sales} - 40000) = 2400 \] \[ \text{sales} - 40000 = \frac{2400}{0.08} = 30000 \] \[ \text{sales} = 40000 + 30000 = 70000 \text{ dollars} \] Thus, the sales for each employee are as follows: - Employee \#1: \$[/tex]90,000
- Employee \#2: \[tex]$70,000 - Employee \#3: \$[/tex]70,000
Employee \#1 did not have the same dollar amount in sales as Employee \#2 and Employee \#3.
Therefore, the answer is:
a. Employee \#1.
1. Employee \#1:
- Earnings: 4.7 thousand dollars.
- Commission structure: [tex]$2,000 + 3\%$[/tex] of all sales.
To find the sales, we set up the equation:
[tex]\[ 2000 + 0.03 \times \text{sales} = 4700 \][/tex]
Solving for sales:
[tex]\[ 0.03 \times \text{sales} = 4700 - 2000 \][/tex]
[tex]\[ 0.03 \times \text{sales} = 2700 \][/tex]
[tex]\[ \text{sales} = \frac{2700}{0.03} = 90000 \text{ dollars} \][/tex]
2. Employee \#2:
- Earnings: 4.9 thousand dollars.
- Commission structure: [tex]$7\%$[/tex] of all sales.
To find the sales, we set up the equation:
[tex]\[ 0.07 \times \text{sales} = 4900 \][/tex]
Solving for sales:
[tex]\[ \text{sales} = \frac{4900}{0.07} = 70000 \text{ dollars} \][/tex]
3. Employee \#3:
- Earnings: 4.4 thousand dollars.
- Commission structure: [tex]$5\%$[/tex] on the first \[tex]$40,000 and $[/tex]8\%[tex]$ on anything over \$[/tex]40,000.
To find the sales, we need to consider the two different commission rates.
Let's determine whether the earnings are only from the [tex]$5\%$[/tex] commission on the first \[tex]$40,000. \[ 0.05 \times 40000 = 2000 \text{ dollars} \] Since earnings exceed 2000 dollars, there must be additional sales earning the $[/tex]8\%[tex]$ commission: \[ 0.05 \times 40000 + 0.08 \times (\text{sales} - 40000) = 4400 \] Solving this equation: \[ 2000 + 0.08 \times (\text{sales} - 40000) = 4400 \] \[ 0.08 \times (\text{sales} - 40000) = 2400 \] \[ \text{sales} - 40000 = \frac{2400}{0.08} = 30000 \] \[ \text{sales} = 40000 + 30000 = 70000 \text{ dollars} \] Thus, the sales for each employee are as follows: - Employee \#1: \$[/tex]90,000
- Employee \#2: \[tex]$70,000 - Employee \#3: \$[/tex]70,000
Employee \#1 did not have the same dollar amount in sales as Employee \#2 and Employee \#3.
Therefore, the answer is:
a. Employee \#1.
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
