Home › CBSE Class 12 (Commerce) › Mathematics › Application of Derivatives › Profit is P(x) = −x² + 40x − 150. How many units…
Profit is P(x) = −x² + 40x − 150. How many units give the maximum profit?
A10
B40
C30
D20
Answer & Solution
Correct answer: D. 20
P'(x) = −2x + 40 is zero at x = 20, and P'' = −2 < 0 confirms a maximum.
Related questions
How fast does the area of a square change per unit change in its side when the side is 4?A differentiable function is increasing on an interval if which condition holds there?If f' changes from positive to negative as x increases through c, what does f have at c?Water enters a cylindrical tank of radius 2 m at 8 pi m^3/min. How fast does the level risA ripple's radius grows at 2 cm/s. How fast does its circumference grow?A spherical balloon gains volume at 8 pi cm^3/s. How fast does r grow when r = 2 cm?A sphere's radius is measured with a 3 percent error. What is the approximate percent erroIf y = x^2, what is dy when x = 3 and dx = 0.02?