Please solve 1 and 2

Problem 6 . Extra credit - This is an optional problem. You can get a maximum of 15 points for this problem. The Hamilton County Local Government has eight sectors which need fire protection. Adequate Fire protection can be provided in each sector either by building a fire station in that sector, or by building a fire station in another sector which is no more than a 12 -minute drive away. The time to drive betwoen the centers of each pair of sectors is given in the following table. (Because of one-way streets and left tums the times are not symmetric.) The cost to build a fire station is the same in each sector. 1. Formulate an integer Programming model to choose which sectors should have their own fire stat (Hints: We can define the decision variables as follows: xi={10ifafirestationisbultinsectoriatherwise