Divide 120 into three parts so that the sum of their products taken two at a time is maximum. If x, y, z are two parts, find value of x, y and z.

Divide 120 into three parts so that the sum of their products taken t

1.	Divide 120 into three parts so that the sum of their products taken two at a time is maximum. If x, y, z are two parts, find value of x, y and z.
A.	x=40, y=40, z=40
B.	x=38, y=50, z=32
C.	x=50, y=40, z=30
D.	x=80, y=30, z=50
Answer» C. x=50, y=40, z=30