MathDB

The RTP tax is a function

f(x)

, where

x

is the total of the annual profits (in pesetas). Knowing that:
a)

f(x)

is a continuous function b) The derivative

\frac{df(x)}{dx}

on the interval

0 \leq 6000

is constant and equals zero; in the interval

6000< x < P

is constant and equals

1

; and when

x>P

is constant and equal 0.14. c)

f(0)=0

and

f(140000)=14000

.
Determine the value of the amount

P

(in pesetas) and represent graphically the function

y=f(x)

Problem Statement