To determine which pay plan would allow Maya to earn the most money in a month, we need to calculate the total earnings for each plan using the given monthly sales amount of \$5,000. The plans include a base salary and a commission rate applied to the sales.
Here are the detailed calculations for each plan:
### Plan A
- Monthly Base Salary: \$500
- Commission Rate: 8%
[tex]\[ \text{Total earnings} = \text{Base Salary} + (\text{Commission Rate} \times \text{Monthly Sales}) \][/tex]
[tex]\[ \text{Total earnings} = 500 + (0.08 \times 5000) \][/tex]
[tex]\[ \text{Total earnings} = 500 + 400 \][/tex]
[tex]\[ \text{Total earnings} = \$900 \][/tex]
### Plan B
- Monthly Base Salary: \$600
- Commission Rate: 7%
[tex]\[ \text{Total earnings} = \text{Base Salary} + (\text{Commission Rate} \times \text{Monthly Sales}) \][/tex]
[tex]\[ \text{Total earnings} = 600 + (0.07 \times 5000) \][/tex]
[tex]\[ \text{Total earnings} = 600 + 350 \][/tex]
[tex]\[ \text{Total earnings} = \$950 \][/tex]
### Plan C
- Monthly Base Salary: \$700
- Commission Rate: 6%
[tex]\[ \text{Total earnings} = \text{Base Salary} + (\text{Commission Rate} \times \text{Monthly Sales}) \][/tex]
[tex]\[ \text{Total earnings} = 700 + (0.06 \times 5000) \][/tex]
[tex]\[ \text{Total earnings} = 700 + 300 \][/tex]
[tex]\[ \text{Total earnings} = \$1000 \][/tex]
### Plan D
- Monthly Base Salary: \$900
- Commission Rate: 5%
[tex]\[ \text{Total earnings} = \text{Base Salary} + (\text{Commission Rate} \times \text{Monthly Sales}) \][/tex]
[tex]\[ \text{Total earnings} = 900 + (0.05 \times 5000) \][/tex]
[tex]\[ \text{Total earnings} = 900 + 250 \][/tex]
[tex]\[ \text{Total earnings} = \$1150 \][/tex]
Now we can compare the total earnings for each plan:
- Plan A: \$900
- Plan B: \$950
- Plan C: \$1000
- Plan D: \$1150
Based on these calculations, Plan D would allow Maya to earn the most money in a month, with total earnings of \$1150.
