b) Find two positive numbers x and y such tha  60and  is maximum. 

To find the two positive numbers x and y such that x + y = 60 and xy^3 is maximum, we can use the method of optimization.

Given:
- x + y = 60
- We need to maximize the expression xy^3.

Step 1: Express y in terms of x.
Since x + y = 60, we have y = 60 - x.

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