define the decison variables, express your objective functions and express the constraints witht he the variables defined.

File Tools View New Offices at Atlantic Management Systems-Description (1) - Compatibility Mode - Saved to this PC New Offices at Atlantic Management Systems 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, Denver, and Detroit and it has $14 million available for this purpose. Because of the highly specialized nature of its high-tech consulting work, the fim must necessarily staff any new offices with a minimum number of its employees from its existing offices. However, it has a limited number of employees available to transfer to any new offices. In addition, the cost of transfering employees depends on the city they are leaving and the city to which they might move. each of the prospective cities and the start-up staffing needs at each office Following are the costs for opening a new office Prospective Office Staffing Needs (employees) Setup Cost (S1,000,000s) $1.7 1. Atlanta 9 3.6 . Boston 14 . Denver 2.1 . Detroit 12 2 5 . Miami 11 St. Louis 2. 7 7 Washington, DC 4 1 18 The numbers of employees available for transfer from each of the current offices are as follows: Available Employees Existing Office Chicago 24 110 % Screen 1 of 4 Focus New Offices at Atlantic Management Systems- Description (1)- Compatibility Mode - Saved to this PC File Tools View Charlotte 19 Pittsburgh 16 21 Houston The above table contains costs (in thousands of dollars) of transferring an employee from an existing office to a new office. The costs differ according to housing costs and moving expenses plus cost of living adjustments Prospective New Offices (cost, S1,000s) offices according to their profit The firm has ranked the possible new , St. 5. Existing 1 2. 3 4. 7 potential, with Washington, DC, being follows the best (i.e., greatest potential), as Office Atlanta Boston Denver Detroit Miami Louis Washington, (below) DC New Office Rank $19 $32 1. Chicago $2 $14 $23 $14 $41 Washington, DC 1 53 2. Charlotte 14 47 31 28 35 18 Miami 2 3. Pittsburgh 39 16 26 23 31 19 48 Atlanta 22 26 28 43 4. Houston 21 18 24 Boston 4 Denver 5 St. Louis 6 Detroit 7 In addition, the firm wants at least one new office in the Midwest (i.., Detroit and/or St. Louis) and one new office in the Southeast (i.e., Atlanta or Miami). Atlantic's top management is wondering which NEW offices to open, and where from/to and how many employces should be transferred, based on the above information Screen 2 of 4 Focus 110%0 File Tools View New Offices at Atlantic Management Systems-Description (1) - Compatibility Mode - Saved to this PC New Offices at Atlantic Management Systems 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, Denver, and Detroit and it has $14 million available for this purpose. Because of the highly specialized nature of its high-tech consulting work, the fim must necessarily staff any new offices with a minimum number of its employees from its existing offices. However, it has a limited number of employees available to transfer to any new offices. In addition, the cost of transfering employees depends on the city they are leaving and the city to which they might move. each of the prospective cities and the start-up staffing needs at each office Following are the costs for opening a new office Prospective Office Staffing Needs (employees) Setup Cost (S1,000,000s) $1.7 1. Atlanta 9 3.6 . Boston 14 . Denver 2.1 . Detroit 12 2 5 . Miami 11 St. Louis 2. 7 7 Washington, DC 4 1 18 The numbers of employees available for transfer from each of the current offices are as follows: Available Employees Existing Office Chicago 24 110 % Screen 1 of 4 Focus New Offices at Atlantic Management Systems- Description (1)- Compatibility Mode - Saved to this PC File Tools View Charlotte 19 Pittsburgh 16 21 Houston The above table contains costs (in thousands of dollars) of transferring an employee from an existing office to a new office. The costs differ according to housing costs and moving expenses plus cost of living adjustments Prospective New Offices (cost, S1,000s) offices according to their profit The firm has ranked the possible new , St. 5. Existing 1 2. 3 4. 7 potential, with Washington, DC, being follows the best (i.e., greatest potential), as Office Atlanta Boston Denver Detroit Miami Louis Washington, (below) DC New Office Rank $19 $32 1. Chicago $2 $14 $23 $14 $41 Washington, DC 1 53 2. Charlotte 14 47 31 28 35 18 Miami 2 3. Pittsburgh 39 16 26 23 31 19 48 Atlanta 22 26 28 43 4. Houston 21 18 24 Boston 4 Denver 5 St. Louis 6 Detroit 7 In addition, the firm wants at least one new office in the Midwest (i.., Detroit and/or St. Louis) and one new office in the Southeast (i.e., Atlanta or Miami). Atlantic's top management is wondering which NEW offices to open, and where from/to and how many employces should be transferred, based on the above information Screen 2 of 4 Focus 110%0