某软件项目的活动图如下图所示，其中顶点表示项目里程碑，连接顶点的边表示包含的活动，边上的数字表示活动的持续时间（天)。完成该项目的最少时间为（)天。由于某种原因，现在需要同一个开发人员完成BC和BD，则完成该项目的最少时间为(请作答此空)天。
- A.11
- B.18
- C.20
- D.21
正确答案及解析
正确答案
解析
像这种求项目活动图的最少时间都是求从起点到终点的最长路径，这里无需求松弛时间，也无需逆推，可以避免使用表格法，直接特殊值代入几条，可得最长的路径是ABCEFJ和ABDGFJ，长度为18；只有一个开发人员来完成BC和BD，BC和BD都在关键路径上，如果先完成BC，则ABDGFJ关键路径要拖延3天，变成21天，如果先完成BD，则ABCEFJ关键路径要拖延2天，变成20天，最少的就是20天。
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