Question

find two numbers x and y such that x + y=60 and xy3 is maximum

Answer 1

Answer:

The two numbers are x and y such that x + y = 60. ∴By second derivative test, x = 15 is a point of local maxima of f. Thus, function xy3 is maximum when x = 15 and y = 60 − 15 = 45. Hence, the required numbers are 15 and 45.

Answer 2

Explanation:

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