The City of Chicago wants to locate new police stations to decrease crime in particular high

crime areas. The City Manager has identified $10$ potential locations $(1-10)$ and high crime areas

$(A-L)$ that each must be covered by at least one station $($Note: Area B is a very high crime area

and must be covered by at least two stations$).$ Each potential location has a fixed cost of

$$500,000,$ except for Potential Location $6($Fixed Cost $=$$$550,000)$ & Potential Location $8($Fixed

Cost $=$$$600,000).$ The table provided below lists the potential locations for police stations and

the areas that each station could cover. Your job is to formulate a model to minimize the total

cost of police stations.

Formulate the model in your document using the headings listed below. You must create a

table to develop your constraints as shown in the Chapter $7$ Solutions or copy and edit the

table from the Chapter $7$ Solutions. You must ensure that all your constraints are

formatted correctly as shown in the Chapter $7$ example.

Decision Variables:

Objective Function:

Constraints: