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FrozenT [24]
2 years ago
6

find two positive numbers A and B with A less than or equal to B whose sum is 52 and whose product is mazimized

Mathematics
1 answer:
Assoli18 [71]2 years ago
5 0

Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is p(x) = x(52-x)=52x-x^2. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26 The two numbers are, then 26 and 52-26=26.

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Answer:

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Because they have different variables; p and q cannot be combined unless it is multiplication or division.

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