Utility maximization condition will be W=E.
Initial BL : W+E=10 ; both prices are 1. => W=E = 5 = 15/3
Updated BL : W+E=10; E<4
W+2(E-4)=6 ; E>=4.
We have to find intersection of W=E and BL. So we get W=E=14/3
Utility = min{W,E}
=> Change in utility will be 5-14/3=1/3 (c).