We have a graph with four nodes and the edges along their weights are: $(0,1,3),(0,3,2),$

$(1,3,4),(1,2,1),$ and $(2,3,2)$; in each of the tuples, the first two numbers are nodes and the third number is the

weight for the edge. Answer the following questions:

$1)(4$ points$)$ The objective function for the maximum cut problem for a graph is given below.

Explain the objective function and compute the objective for the cut between nodes $\{0,1,2\}$ as one group

and the remaining nodes as the other group.