In some city, there is a set N of neighborhoods and set P of proposed public projects. Each project i P (if implemented) costs ci dollars and contributes a benefit of aij units to each neighborhood j N . The city has a budget of B dollars to spend on these projects. The city wants to select projects to invest in so as to maximize the minimum benefit to any neighborhood. Provide an integer program to solve this. You must indicate clearly what the data, decision variables and constraints are