When a board scrutinizes an executive's decision to resign without a new job, it often leads to shareholders putting pressure on the board to take action. Option A is incorrect because a counter-offer is not a typical consequence of such scrutiny. Option C is incorrect because scrutiny does not imply a delay in resignation. Option D is incorrect because ignoring the resignation is an unlikely reaction from the board. The correct answer is B, as it reflects the typical chain of events where shareholder pressure leads to board action.