Question

Renee has two job offers to be a door-to-door

food processor salesperson. Pro Process
Processors offers her a base salary of $15,000
per year plus an additional $25 for each
processor she sells. Puree Processors offers
her a base salary of $18,000 per year plus an
additional $21 for each processor she sells.
Determine the number of food processors
Renee would have to sell for both companies
to pay her the same amount. Explain which
job offer Renee should accept based on
the number of food processors she expects
to sell.

Answer 1

Renee would have to sell 750 food processors for both companies to pay her the same amount. Also, if Renee expects to sell less than 750 food processors she should accept Puree Processors offer but if she expects to sell more than 750 food processors, she should accept Pro Process Processors offer.

Explanation:

In order to determine the number of food processors Renee would have to sell for both companies to pay her the same amount, you can write an expression in which the salary at Pro Process Processors is equal to the salary at Puree Processors, which can be expressed as:

15,000+25x=18,000+21x

Now, you can solve for x that represents the number of food processors:

15,000+25x=18,000+21x

25x-21x=18,000-15,000

4x=3,000

x=3,000/4

x=750

According to this, Renee would have to sell 750 food processors for both companies to pay her the same amount. Also, if Renee expects to sell less than 750 food processors she should accept Puree Processors offer but if she expects to sell more than 750 food processors, she should accept Pro Process Processors offer.