Question

Write a function for p(x), the profit from selling x necklaces.

Answer 1

ANSWER

$p(x) = 6x - 15$

EXPLANATION

The revenue from selling x necklaces is

$r(x) = 10x$

The cost of buying x necklaces is

$c(x) = 4x + 15$

The profit from selling x necklaces is

$p(x) = r(x) - c(x)$

We substitute the functions to get;

$p(x) = 10x- (4x + 15)$

$p(x) = 10x- 4x - 15$

$p(x) = 6x - 15$

Therefore the function for the profit is

$p(x) = 6x - 15$