Suppose a Man and a Woman Are in Love and Care

Multiple Choice

Suppose a man and a woman are in love and care for the other's happiness as well as their own consumption.Suppose the man is more selfish than the woman
UM = CM^2/3 UW^1/3
UW = CW^1/2 UM^1/2
They will maximize the joint happiness (UM + UW) where

A) CM = 100; CW = 0
B) CW = 100; CM = 100
C) 50 < CM < 100; 0 < CW < 50
D) 50 < CW < 100; 0 < CM < 50