The sum of the first number and twice the second number is 108 and the product is a maximum.

So I did

x + 2x = 108

x+x=108/2 = 54

2x=54

x=54/2 = 27

54,27 Im not sure if this is the right way to do it?

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- Oct 25th 2009, 03:09 PMNightasylumoptimization problems
The sum of the first number and twice the second number is 108 and the product is a maximum.

So I did

x + 2x = 108

x+x=108/2 = 54

2x=54

x=54/2 = 27

54,27 Im not sure if this is the right way to do it? - Oct 25th 2009, 03:14 PMskeeter
- Oct 25th 2009, 03:29 PMNightasylum
- Oct 25th 2009, 04:10 PMNightasylum
- Oct 25th 2009, 04:19 PMskeeter
the product is a maximum ...

you can solve this using calculus ... ... and determine the value of that maximizes

or, without calculus ... you can remember something about the graph of a quadratic function w/ a negative leading coefficient and where the maximum is located.