Question

Andre has been offered an entry-level job. The company offered him $48,000 per year plus 2.6% of his total sales.Andre knows that the average pay for this job is $71,000. What would Andre's total sales need to be for his pay to be at least as high as the average pay for this job? (Your answer should be accurate to 2 decimal places)Let n represent Andre's sales amount

Answer 1

Step-by-step explanation

Let n represent Andre's sales amount.

The company offered him $48,000 per year plus 2.6% of his total sales (n). This implies that his pay is:

`\begin{gathered} 48000+((2.6)/(100)*n) \\ \\ \Rightarrow48000+0.026n \end{gathered}`

He wants his pay to be at least as high as the average pay ($71,000). This implies that his pay must be greater than or equal to the average pay:

`48000+0.026n\ge71000`

To find the amount his sales must be, we have to solve for n in the inequality above:

`\begin{gathered} 0.026n\ge71000-48000 \\ 0.026n\ge23000 \\ \\ n\ge(23000)/(0.026) \\ \\ n\ge\$884,615.38 \end{gathered}`

That is how much his total sales need to be.