Question: what does it mean to cost complete something, say a project? 

Answer: The most important meaning of costing a project is to specify the value of the following factors involved with that project;\n1- Time spent to finish it = money \n2- Material used for the project = money\n3- Price of the idea if new = money\n4- Labour, if workmanship is needed = money\n5- Marketing Campaign to sell that project = money\n6- Profits to be added to all above = money\n\nThe sum of all is the Project Cost. Knowing all those factors means you are on top of your project armed with knowledge.
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