An organization services 10 different areas. It plans to setup tech centers to help its clients with various needs. In order to save costs, the organization seeks to minimize the number of tech centers that it must setup. However, it needs to ensure that each area is covered by at least one tech center. The following show the proposed tech centers and areas that they would service. The cost per tech center is also shown. The maximum budget is $5,000. Develop a binary integer linear programming model that will decide which tech centers to setup. Use Solver to solve.

Tech Centers	Cost	Areas Covered
A	$ 1,300	2, 4
B	$ 1,000	3, 6, 10
C	$ 1,100	1, 4, 5
E	$ 1,200	4, 9, 7
F	$ 1,500	1, 8
G	$ 1,250	2, 5, 8