Answer:
[tex]c(p)=\left \{ {{0.18p} \ \ When \ p \leq 500\\\atop {{0.24p} \ \ When 500<p \leq 2000\\\atop {{0.27p} \ \ When p>2000\right[/tex]
Step-by-step explanation:
From the 3 statements given, we can say:
The commission is 18% of p, when p is LESS THAN OR EQUAL TO 500
The commission is 24% of p, when 500 < p ≤ 2000
The commission is 27% of p, when p is GREATER THAN 2000
This can be written as a piecewise function (split function) of the form shown below:
[tex]c(p)=\left \{ {{0.18p} \ \ When \ p \leq 500\\\atop {{0.24p} \ \ When 500<p \leq 2000\\\atop {{0.27p} \ \ When p>2000\right[/tex]