(4) The school board wants to assign students from each district to each school so that enrolments are evenly balanced between the four schools. However, the school board is concerned that this might significantly increase travel time. Determine the number of students to be assigned from each district to each school such that school enrollments are evenly balanced. Does this solution appear to significantly increase travel time per student? Remember: - You are required to write a report. Please read the sample of the semester project. - Calculations with no explanation are not acceptable. - Pages should be clearly typed and numbered with a cover page. - This report can be completed as a group and each group should have 2 persons at most. It may also be individual work so you can complete it on your own. - Identical papers will be penalized with null grade. - Word limit: minimum 1500 - maximum 3500 words. School Traveling In a town, there are four schools - Famagusta, Nicosia, Kyrenia and Iskele. Each of these school has four hundred students as a capacity. The school board wants to assign children to schools so that their travel time by bus is as short as possible. The school board has partitioned the town into five districts conforming to population density- north, south, east, west, and central. The average bus travel from each district to each school is shown in the following table: As a chief coordinator, you have been asked to prepare a report for the school board members. This report needs to address the concerns all of the following: (a) Introduction (b) An explanation of the model and the methodology used. (c) Display your estimated outputs using the methods. (d) A discussion of the results estimated. (e) Any other comments you feel relevant to the issues being addressed. (f) Conclusion and recommendations. Hints: (1) Briefly explain the concept of methodologies and models used. (2) It can be conducted the Vogel Approximation method, North-West Corner method as well as the Hungarian method. (3) Compute the number of children that should be assigned from each district to each school to minimize total student travel time