A travelling salesman must visit 7 customers in 7 different locations whose (symmetric) distance matrix is: 1 2 3 4 5 6 7 1 - 86 49 57 31 69 50 2 - 68 79 93 24 5 3 - 16 7 72 67 4 - 90 69 1 5 - 86 59 6 - 81 Formulate a mathematical program to determine a visit sequence starting at ending at location 1, which minimizes the travelled distance, and solve it with AMPL. Knowing that the distances obey a triangular inequality and are symmetric, propose a suitable heuristic method.