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Covid-19 vacoination operations will be conducted in chosen Family Health Centres (FHC) in each city. In each city, there are 8 districts and in each

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Covid-19 vacoination operations will be conducted in chosen Family Health Centres (FHC) in each city. In each city, there are 8 districts and in each district there is one FHC. In this city, it is decided that 3 FHC would become and maximum 40 thousand vaccinations will be made in each centre. The amount of citizens that will be vaccinated in the districts in the table below. 1 2 3 4 5 6 7 8 Neighborhoods SAAAAAAAAAAAAA 20 10 8 12 Number of 15 25 9 6 People (x1000) The citizens in one district will be vaccinated in the same vaccination centre. It is desired that vaccination centres are close as possible to the districts. Due to this, the choice will be made to minimize overall distance. Overall distance is calculated as:(amount of citizens that will be vaccinated) x (distance to FHM). The distance betweeb district centres are given in kilometers on the table below. (assume that FHCs are located at the district center.) Neighborhoods (km) 1 2 3 4 un 5 6 7 8 0 7,3 0 3 1 2 3 4 5 6 7,2 6 3,6 5,8 4,8 9,2 6 10 10,7 12,2 11 9 0 5,4 9,2 9 11,6 3 0 5,7 4,1 9,4 5,1 0 3 4,1 10,3 0 7 9,2 7 8 0 13,5 o Write the decision model that would minimize the total distance, which FHC will be chosen as a vaccination centre and what centre will be used by which district

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