Find two numbers whose sum is 16 and whose product is a maximum.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Two numbers whose sum is 16 and whose product is a maximum have to be determined. Let one of the numbers be X, the other number is (16 - X)

The product of the numbers is P = X*(16 - X) = 16X - X^2

To maximize the product solve P' = 0

=> 16 - 2X = 0

=> X = 8

The two numbers are 8 and 8

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial