#### Answer

\begin{array}{l}{\text { Yes, the shortest path would change. The shortest path from A to E }} \\ {\text { would now be the route AEFD with a cost of } 4+2+7=13 \text { units. It }} \\ {\text { had been ABFD with a cost of } 3+4+7=14 \text { units. }}\end{array}