Question: 3. (20 marks) A helicopter at location 0, which is at an offshore supply base in St.John's, needs to visit all four offshore platforms on

3. (20 marks) A helicopter at location 0, which is at an offshore supply base in St.John's, needs to visit all four offshore platforms on one trip. These platforms are denoted as loca- tions 1, 2, 3, and 4. The distance in km that it would take a helicopter to travel from one location to another is given in the following table. Because these are distances in the air, the table is symmetric. From 0 To 0 1 2 3 4 0 219 286 150 418 219 0 70 94 261 286 70 0 164 210 150 94 164 0 349 418 261 210 349 0 2 3 4 The objective is to minimize the total travel time. (a) Give the algebraic model of this situation, omitting the sub-tour constraints. (b) Use LINGO or the Excel Solver to solve this (partial) model. Show that this solution is not a tour, and state the two sub-tours. (c) Give a constraint that would, if added to the formulation of Ib), prevent this specific situation from arising. Re-solve the computer model, and state whether or not this new solution is a tour. (d) If necessary, repent (e) until a tour is obtained

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