SOLUTION: I have 3 numbers whose sum is 60. The middle number is four time the smallest number. What is the maximum product of the two larger number?
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Question 361779: I have 3 numbers whose sum is 60. The middle number is four time the smallest number. What is the maximum product of the two larger number?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
.
.
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Substituting.
1.
Then the product is,
From eq. 1,
Substitute,
To find the maximum, put the equation into vertex form by completing the square.
The maximum occurs when and has a value of .
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