SOLUTION: Among all pairs of numbers whose sum is negative eighteen (-18), find the pair of numbers whose product is as large as possible. Evaluate algebraic methods for solving the problems
Algebra.Com
Question 808467: Among all pairs of numbers whose sum is negative eighteen (-18), find the pair of numbers whose product is as large as possible. Evaluate algebraic methods for solving the problems and show your work. What are the numbers? What is the maximum product?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Among all pairs of numbers whose sum is negative eighteen (-18), find the pair of numbers whose product is as large as possible. Evaluate algebraic methods for solving the problems and show your work. What are the numbers? What is the maximum product?
----------
Equations:
x + y = -18
-----
Product:: P(x) = xy = x(-18-x)
-----
P(x) = -x^2-18x
------
Maximum profit occurs when x = -b/(2a) = 18/(2*-1) = -9
====
Solve for "y":
x + y = -18
-9 + y = -18
y = -9
=====
Answer: The numbers are -9 and -9.
The maximum product is -9*-9 = 81
======================
Cheers,
Stan H.
======================
=================
-----
RELATED QUESTIONS
Among all pairs of numbers whose sum is 26, find a pair whose product is as large as... (answered by richard1234)
Among all pairs of numbers whose sum is 8, find a pair whose product is as large... (answered by ikleyn)
Among all pairs of numbers whose sum is 16.8, find a pair whose product is as large as... (answered by math_helper)
among all pairs of numbers whose sum is -18, find the pair of numbers whose product is as (answered by oscargut)
Among all pairs of numbers whose difference is 8, find a pair whose product is as... (answered by greenestamps)
from all the pairs of numbers whose sum is 256, find the pair whose product is... (answered by stanbon,CharlesG2)
among all pairs of positive numbers whose sum is 14, find the smallest sum of... (answered by richwmiller)
from among the following pairs of numbers, whose sum is 36, identify the pair of numbers... (answered by MathLover1)
2 positive numbers the sum of whose squares is 16 and whose product is as large as... (answered by stanbon)