The revenue in dollars of a company selling its products per month is given as, R(x) = 3000x - 20x^2, while the cost in dollars is given by, C(x) = 600x + 4000. Find and simplify P(x), where P(x) is the profit per month.

Question

The revenue in dollars of a company selling its products per month is given as, R(x) = 3000x - 20x^2, while the cost in dollars is given by, C(x) = 600x + 4000. Find and simplify P(x), where P(x) is the profit per month.

Answer 1

hmmm. do you know that profit = revenue - cost?

P(x) = R(x)-C(x)
. . .

Answer 2

Thank you! I just wasn't sure about that formula :)

Answer 3

To find the profit per month, we subtract the cost from the revenue.

The profit, denoted by P(x), is given by the equation:

P(x) = R(x) - C(x)

Plugging in the given equations for R(x) and C(x), we have:

P(x) = (3000x - 20x^2) - (600x + 4000)

Now, let's simplify the equation:

P(x) = 3000x - 20x^2 - 600x - 4000

Combining like terms, we have:

P(x) = -20x^2 + 2400x - 4000

So, the profit per month, P(x), is given by the equation:

P(x) = -20x^2 + 2400x - 4000