A certain paperback sells for $12. The author is paid royalties of 11% on the first 10,000 copies sold, 12.5% on the next 5000 copies, and 19% on any additional copies. Find a piecewise-defined function R that specifies the total royalties if x copies are sold. (Simplify your answer completely.)

Explanation:

If we sell x of books (x ≤10,000) , we have the royalty : 1.32x

So, on 10,000 copies, the royalty is ...   10,000 · $1.32 = $13,200

if we sell x of books (10000< x ≤15000) , we have the royalty: 1.5x

So, on the next 5000 copies, the royalty is: 1.5*5000 = $ 7500

If we sell x of books, the number of books more than 15,000 is ...

x -15,000

and the additional royalty : 2.28 (x -15,000)

When this is added to the royalty for the first 15,000 books, the expression (for x > 15000) can be simplified to :

2.28 (x -15,000)  + 13,200 + 7500 = 2.28x - 13,530

So the piecewise-defined function R that specifies the total royalties if x copies are sold R(x)

Hope it will find you well.

consumer credit. an advantage is that it allows consumers to afford expensive goods and services now, increasing their standard of living. however, a disadvantage is that it creates a trap for debt, if people do not have self control, they may see themselves filing personal bankruptcy.