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In Excel 2010, 2011, and 2013, make sure the solving method is set to Simplex LP. Simplex LP is appropriate for this problem, because this problem is linear (the “L” in LP stands for linear).
This classic xkcd physics problem involves an accelerating velociraptor. Here is a numerical solution to this problem using python.
“OptiMods only covers seven of them. But it’s a start.” With OptiMods, people can solve problems that would be very difficult or impossible to solve without any optimization methods.