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x2y3 is, where x > 0 and y > 0 are connected by the relation 3x + 4y = 5
A. 3/16
B. 1/16
C. 3/14
D. none of these
Ans: A
Sol: We are given 3x + 4y = 5
Now, product x2y3 will be maximum when is maximum. Above is product of 5 factors whose
Hence the product will be maximum when all the factors are equal
\Maximum value of x2y3=