Question

The function P(x) = x^3 - 3x^2 + 12 gives the profit on a product. What is the profit on 800 units?

A) P(800) = 800^3 - 3(800)^2 + 12
B) P(800) = 800^3 + 3(800)^2 + 12
C) P(800) = 800^3 - 3(800) + 12
D) P(800) = 800^2 - 3(800) + 12

Answer 1

The correct calculation of the profit on 800 units using the given function P(x) is P(800) = 800^3 - 3(800)^2 + 12, which corresponds to option A.

Step-by-step explanation:

To find the profit on 800 units for the given function P(x) = x^3 - 3x^2 + 12, we need to calculate P(800). Following option A, we substitute x with 800 in the profit function:

P(800) = 800^3 - 3(800)^2 + 12

This results in calculating the cube of 800, then squaring 800 and multiplying by 3, and finally adding 12. The correct calculation based on the given function should be:

P(800) = 800^3 - 3(800)^2 + 12

Therefore, the correct answer is option A.