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manpower,equipment & organization are tools to draw right schedule which allow you to kill all tasks forming what ever project.
it organizes the optimal relations between cost and time (at defined case of resources) and also shows processes which have an effect on project time and cost
I think it means the most economic way to go from one step to the next. It is very important for the construction industry. When you join all the dots in the crtical path method you finish your job in the best way. There is a trial and error factor involved. You may not get the critical path at the1st go but get it the next time. But once you get it you do not change the path.