Question

The profit P (in dollars) earned by a local merchant selling x items is represented by the equation P = 0.2x ^ 3 - 10 . How much more profit does he earn selling 15 items than 5 items?

Answer 1

Using the given profit function, it is found that he earns $650 more selling 15 items than 5 items.

What is the profit function?

The profit in dollars earned selling x items is given by:

$P(x) = 0.2x^3 - 10$

Hence, selling 5 items, the profit in dollars is:

$P(5) = 0.2(5)^3 - 10 = 15$

Selling 15 items, the profit is:

$P(15) = 0.2(15)^3 - 10 = 665$

The difference is:

665 - 15 = 650.

He earns $650 more selling 15 items than 5 items.

More can be learned about profit function at https://brainly.com/question/4618859