priscillaoliver1007 priscillaoliver1007
  • 21-07-2017
  • Mathematics
contestada

Find two positive numbers a and b (witha≤b) whose sum is 88 and whose product is maximized.

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 21-07-2017

a + b = 88

ab = y

a = 88 - b

y = (88 - b)*b
y = -b^2 + 88b

Take the derivative and set equal to 0

y' = -2b + 88 = 0

2b = 88
b = 44

a=44

 both numbers are 44

Answer Link

Otras preguntas

i will asked you this onese do you loved your mom whats the correct Grammar?
4^x=3/2x+6find the solution or solutions
Which of the following pairs of compounds would you expect to form homogeneous solutions when combined? a)CH3CH2CH2CH2CH3 AND CH3CH2CH2CH2CH2CH3 b) CBr4 and H2O
What is 6476 divided by 12?
In Medieval Western Europe, who was considered to be the highest authority? A) the Pope B) the King C) the Bishop D) the Emperor
In what year did toys for tots start making the holidays a little happier for children
What is the safe method for thawing foods?
how to make a graph of(3,2)
I'm so stuck could anyone help?
If you do not understand a word in a sentence, you can look at other words around it for ______ ______. Question 1 options: context clues direct meaning reading