Hey folks, I have the following question, and I was hoping one of you pros could check my answer against yours or let me know if there is a better answer, mine is pretty convoluted and bulky.

The question is;

Now I put together the following, and it feels way to bulky, not sure if I'm making this more complicated than it is.A salesman has a base salary of $28,000.00, and earns in addition a 5% commission per unit for the first 100 units sold, 7.5% for the next 100 units sold, and 12% for any additional units sold (i.e. above 200).

a. If the market price per unit is $75.00, give the function of the income earned in terms of units sold.

$\displaystyle f(u)=28000+(0.05)(75)u+(0.025)(75)(u-100)+(0.045)(75)(u-200)$

What do you guys think? Thanks!

Kasper