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Consider the given city is made up of a number of district. The city is reviewing the location of fire stations, hospitals and schools

 

Consider the given city is made up of a number of district. The city is reviewing the location of fire stations, hospitals and schools and you are supposed to decide which ones should be installed in which district (for example a school and a fire station should be installed in district I and a fire station should be installed in district 2). Contribution of each fire station, hospital and school is 5, 10, 15 respectively. And setup cost of each fire station, hospital and school is 100, 200, 80 respectively. Total budget for reviewing is determined as 1500 $. For the following options made the necessary change in the model. After question a, all options are independent of each other. You can just write the additional condition. (Each question is 10 point) a) Construct an LP model to maximize total contribution. E L

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