Refer to the Ohio Trust bank location problem introduced in Table shows the counties under consideration and the adjacent counties.

TABLE

COUNTIES IN THE OHIO TRUST EXPANSION REGION

Counties Under Adjacent Counties

Consideration (by Number)

1. Ashtabula .............2, 12, 16

2. Lake ...............1, 3, 12

3. Cuyahoga .............2, 4, 9, 10, 12, 13

4. Lorain .............3, 5, 7, 9

5. Huron ..............4, 6, 7

6. Richland .............5, 7, 17

7. Ashland .............4, 5, 6, 8, 9, 17, 18

8. Wayne .............7, 9, 10, 11, 18

9. Medina .............3, 4, 7, 8, 10

10. Summit .............3, 8, 9, 11, 12, 13

11. Stark ..............8, 10, 13, 14, 15, 18, 19, 20

12. Geauga .............1, 2, 3, 10, 13, 16

13. Portage .............3, 10, 11, 12, 15, 16

14. Columbiana ............11, 15, 20

15. Mahoning ............11, 13, 14, 16

16. Trumbull .............1, 12, 13, 15

17. Knox .............6, 7, 18

18. Holmes .............7, 8, 11, 17, 19

19. Tuscarawas ............11, 18, 20

20. Carroll ..............11, 14, 19

a. Write the complete integer programming model for expansion into the following counties only: Lorain, Huron, Richland, Ashland, Wayne, Medina, and Knox.

b. Use trial and error to solve the problem in part (a).