Divide a into two parts such that the product of the pth power of one part and the qth power of the second part may be maximum

Divide 54 into two parts such that one part is 2/7 of the other.

Divide 24 into two parts such that their product is maximum.

Divide 24 into two parts such that their product is maximum.

Divide 20 into two parts such that the product of the cube of one and the square of the other shall be maximum

The ratio of the two parts of a number 'a' such that the product of the p^(th) power of one and q^(th) power of the other is maximum is

Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are

Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are