Question

how do you determine maximum revenue?

Answer 1

With what given information?

Answer 2

A company's revenue is given by the function R(x) = 400 - 400/(x + 8) - x where R is measured in thousands of dollars.
To find the maximum, take the derivative and set it equal to zero:

R(x) = 400 - 400/(x + 8) - x

R(x) = 400 - 400 * (x + 8)^-1 - x

R'(x) = 400 * (x + 8)^-2 - 1

0 = 400 * (x + 8)^-2 - 1

1 = 400 / (x + 8)^2

(x + 8)^2 = 400

x + 8 = +/- 20

x = -8 +/- 20

x = -28 IMPOSSIBLE (assuming x represents items produced)

x = 12

Answer 3

okay thanks