Provide the following:

mathematical formulation

decision variables

objective function

constraints

findings in business

conclusions

Case Problem New OFFICES AT ATLANTIC MANAGEMENT SYSTEMS Prospective Office Setup Cost (51.000.000 Staffing Needs employees) . Denver De S. Mimi 6. St La 7 W DC Atlantic Management Systems is a consulting firm that specializes in developing computerized decision support systems for computer manufacturing companies. The firm currently has offices in Chicago, Charlotte. Pittsburgh and Houston. It is considering opening new offices in one or more cities including Atlanta, Boston, Washington, DC. St. Louis, Miami Desvernd Der and it has $14 mil lion available for this purpose. Because of the highly spe cialized nature of its high-tech consulting work, the firm must necessarily all any new offices with a minimum number of its employees from its existing offices. However, it has a limited number of employees available to tra fer to any new offices. In addition, the cost of transferring employees depends on the city they are leaving and the city to which they might move. Following are the costs for opening a new office in cach nach of the prospective cities and the start-up staffing needs at cachoflice: The numbers of employees available for transfer from cach of the current offices are as follows Available Employees Existing Office Chicago Charlie uh H The costs in thousands of dollars) of transferringan employee from an existing office to a new office differ according to housing costs and moving expenses plus cost of living adjustments. They are as follows: Current Office 1. Atlanta 1. Chicago Charlotte Pittsburgh 4. Houston 22 2. Boston $32 47 Prospective New Offices (costs, 51,000s) 3. Denver 4 Detroit S. Miami 6. St. Louis 7. Washington, DC $27 5 14 523 514 541 31 28 35 26 21 18 25 24 CASE PROBLEM 233 The firm has ranked the possible new offices according to their profit potential with Washington, DC, being the best fi... greatest potential), as follows: in addition, the firm wants at least one office in the Midwestie. Detroit and for StLouis) and new office in the Southeasti.. Atlanta Miami Formulate and solve an integer programming model to help Atlantic Systems desenho w offices it should open where they should be located and how to transfer employees Rank New Office Washington, DC Bote