There are two companies, the IL Company and the MO Company. They are trying to build a 3000 ft. tunnel connecting St. Louis, IL and St. Louis, MO. Each company will begin digging on their own side and eventually meet up with the other. The cost of digging x feet of tunnel for the IL Company is 1.95x^(2)+20x and it is 2.05x^(2)-300x for the MO Company. Find the point at which the two companies should meet if the overall cost is to be minimized.
This shows how to minimize cost between two companies. The overall costs to be minimized are discussed.