Delicious is a fast$-$food chain that would like to open new stores in Ontario. It has identified a section of

Toronto that contains $10$ neighborhoods and would like to open stores in some of those neighborhoods.

A marketing campaign promised customers that no matter where they are located, the customers will

have a store either in their neighborhood or in an adjacent neighborhood.

Marketing and operations agree that the number of stores opened should be kept to a minimum to keep

cost and implementation manageable for the expansion. Formulate algebraically the binary integer programming model that determines how many stores should

Delicious fast$-$food chain open and in which neighborhoods in order to deliver on its promise? Define the

decision variables, objective function, and constraints.