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 tw

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