#### Answer

The traveling salesperson problem is the problem of determining the Hamilton circuit with the smallest total weight. The optimal solution is the Hamilton circuit which has the smallest total weight.

#### Work Step by Step

The traveling salesperson problem is the problem of determining the Hamilton circuit with the smallest total weight. The optimal solution is the Hamilton circuit which has the smallest total weight. Note that the optimal solution, the Hamilton circuit with the smallest total weight, shows the route that a traveling salesperson could take which has the shortest possible distance.