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Santralistanbul campus has three shuttle services from Besiktas, Halicioglu and Pangalti. There are four companies that make bids to the routes to commute students as in Table. The costs (in TL) represent the amount that the university is expected to pay to the company if the route is chosen. Company \Shuttle Besiktas Halicioglu Pangalti 1 3000 5000 2 3000 3 2000 1000 4 2000 means that the bidding is not possible. The number of shuttles that the companies can use to commute students are given as 10, 20, 10, 20 respectively. Shuttles are of the same size and each shuttle carries 20 students. Number of students that are willing to take shuttles from Besiktas, Halicioglu and Pangalti are 500, 100, 200 respectively. The cost of transporting each shuttle is obtained by dividing the bidding amount for a route to the number of shuttles that the company has. a) Create a transportation problem by giving the balanced transportation tableau. b) Use Minimum-Cost method to find a solution for the problem and calculate the total cost. c) Is the solution you found in part (b) basic? Why?
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