Posted by Omar on Wednesday, February 13, 2013 at 2:15pm.
maximum product occurs when a=b=50
That makes the product 2500
The larger a gets, the smaller b must get, so try
a=40 b=60: ab=2400
a=30 b=70: ab=2100
a=20 b=80: ab=1600
and narrow in on it.
Or, algebraically,
a(100-a) >= 2000
a^2 - 100a + 2000 <= 0
10(5-√5) <= a <= 10(5+√5)
27.6 <= a <= 72.3
so, 28 < a <= 72
check:
28*72 = 2016
27*73 = 1971
Related Questions
Math - Working with simple addition and multiplication of positive and negative ...
Math - List the common multiples from 1 to 100 for each pair of numbers. Then ...
Math - Find all sets of integers {x,y,z} such that when any one of these numbers...
Math - What is 2 + 2? = 4 What is 2 * 2? = 4 So, the sum and the product of ...
math - fred is thinking of three numbers. if they are added in pairs, the ...
Math - Find a number that results in a greater number when it is added to 100 ...
sorry left out a "x" - If f(x)=3^2 g(x)= 1/6+x find the following and ...
calculus - Find all numbers b such that the average value of f(x)=2+6x&#...
Algebra 2 Could use help asap - I really am trying to work these problems out ...
Math - Find the positive number such that 1/2 of the number multiplied by 1/3 of...
For Further Reading
