Question

The profit (in millions of dollars) for a producer of electric scooters can be modeled by P=-x^3+7x where x is the number of scooters produced (in millions). Currently the company produces 2 millions scooters and makes a profit of $6,000,000. What lesser number of scooters could the company produce and still yield the same profit?

Answer 1

1 million scooters

Explanation:

We are told that the profit (in millions of dollars) for a producer of electric scooters can be modeled by P = -x³ + 7x where x is the number of scooters produced (in millions).

We are told that currently the company produces 2 millions scooters and makes a profit of $6,000,000.

Thus, the profit equation is;

6 = -x³ + 7x

x³ - 7x + 6 = 0

We are given 2 as a root.

Let's try 1.

1³ - 7(1) + 6 = 0

0 = 0

So 1 is a root.

Thus, the lesser number of scooters the company could produce and still yield the same profit is 1 million scooters