Management problem. Analytic solver may need to be utilized to solve the problem.

3. A grocery store chain specializing in organic food has acquired a competitor. This acquisition has resulted in too many stores near each other in certain cities. In Denver the chain ended up with 10 stores, and it does not want stores to be closer than 2 miles from each other. The following table shows the expected monthly revenues ($1,000s) from each store. Store 1 Monthly revenue ($1,000s) 127 83 165 96 112 88 135 141 117 94 9 10 This map shows the general proximity of the stores. Stores within 2 miles of each other are circled. 4 3 7 5 8 9 Formulate an integer programming model to choose the stores to keep open. Which stores should remain open? (Note that you have to with the available information, you must determine the most logical objective function that the grocery chain would use to make this decision.)