How many improved Takao Kai cruisers Japan might order

If the improved Takao Kai proposal were available in 1930, would Japan build two or four?

Four, because the proposed design improved several capabilities and Japan built these cruisers in groups of four.

The question assumes an improved Takao Kai design available in 1930, with greater range and better armament, protection and machinery. A four-ship group is the expected order because Japan built these cruisers in groups of four. The proposed improvements are accepted as a reason to build the design.