Maxima minima

Sum of two numbers is 24.find numbers if product is maximum

Solution

Let one number is x and other is 24-x

X(24-x)should be maximum

24x-x^2 Derivative of this function is

24-2x

X=12 

Again second derivative =-2

By second derivative test it should be maximum 

At x=12 so other will be also 12 

It satisfied condition  that the product is maximum

Advertisements

Ask Question or Leave Answer

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s