Make a weighted graph and its corresponding incidence Matrix

It is well-known that in the Netherlands, there is a 2 lane highway from Amsterdam(A)

to Ereda(B), another 2-fanie highway from Amsterdam to Cappele(C), a 3-lane highway from Eredia to Dordrecht(o), a 1-lane road from Breda to Ede(E) and

another one from Dordrecht to Ede and a S-lane superhighway from Cappele to Ede.