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Straightforward maximization problema + b = 36, so b = 36 - a

c = ab = a(36 - a) = 36a - a2

Find the derivative of c with respect to a: dc/da = 36 - 2a.

Set it to zero and solve for a: 36 - 2a = 0.

36 = 2a

18 = a

a = 18

b = 18

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11y ago
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Q: What is the maximum product of two numbers if their sum is 36?
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