ANSWER
[tex]n\ge\operatorname{\$}884,615.38[/tex]
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:
[tex]\begin{gathered} 48000+(\frac{2.6}{100}*n) \\ \\ \Rightarrow48000+0.026n \end{gathered}[/tex]
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:
[tex]48000+0.026n\ge71000[/tex]
To find the amount his sales must be, we have to solve for n in the inequality above:
[tex]\begin{gathered} 0.026n\ge71000-48000 \\ 0.026n\ge23000 \\ \\ n\ge\frac{23000}{0.026} \\ \\ n\ge\$884,615.38 \end{gathered}[/tex]
That is how much his total sales need to be.
