Question: EXAMPLE 4.2 Consider the problem of determining locations for two new high schools in a set of P subdivisions Nj. Let 7.013- be the number

EXAMPLE 4.2 Consider the problem of determining locations for two new high schools in a set of P subdivisions Nj. Let 7.013- be the number of students going to school A and wzj be the number of students going to school B from subdivision N j. Assume that the student capacity of school A is cl and the capacity of school B is 02 and that the total number of students in each subdivision is Tj. We would like to minimize the total distance traveled by all the students given that they may attend either school A or B. It is possible to construct a nonlinear program to determine the locations ((1, b) and (c, d) of high schools A and B, respectively assuming the location of each subdivision N1- is modeled as a single point denoted (mi, yi). NIH NIH miniw1j((a mj)2 + (b - 9392) j=1 + W ((0 avg-)2 + (d - in?) subject to the constraints Ewij Sci j wij + waj = rj for j = 1, ..., P

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