Suppose you want to find two positive numbers such that the sum of the first and twice the second is 64 and whose product is a maximum.
3 answers
The two numbers are 16 and 4. The sum of the first and twice the second is 16 + (2*4) = 64, and the product of the two numbers is 16*4 = 64, which is the maximum possible product for two numbers whose sum is 64.
Suppose you want to find two positive numbers such that the sum of the first and twice the second is 64 and whose product is a maximum. What is the constraint?
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