Brown Mack, Inc., currently has two large manufacturing divisions that share a single plant. Brown Mack owns the plant but has calculated that $$12$ million of overhead expenses should be allocated to the two equal$-$sized divisions. If Brown Mack starts a third manufacturing division, of equal size to the other two divisions, then what overhead cost should the new division take into account on its capital budgeting cash flow analysis?

$$6$ million

$$2$ million

$$0$

$$4$ million