## Motorway Problem

How to choose the shortest road that connects several towns. This is a story about local and global minimums. Excellent presentation  of soapy films.

## Does the car owner need math?

Many car owners make decisions without any calculation. They use gut feelings and don’t spend time on math. However, small calculative efforts of 2-3 minutes can help to inform wise decisions and give the owner the confidence that they are making the best choice.

Here are real-life examples:

We calculate how many miles we can drive with a half tank.

Estimate how many miles can you drive if you change the tires (front <-> back) at the best moment. Rear tires of your car wear out after 60,000 miles, while the front tires wear out twice faster.

In the last case, you don’t need to know the complex optimal choice theory and its formulae. It’s enough just to keep in mind several simple rules that help you to make wise decisions. People who spend a few minutes on simple calculations always enjoy their choice.