3 Integer Programming (IP) Exercise 3. Suppose z and y are binary variables, w is an integer variable, and z is a continuous variable. with 0 s w 6 and 0 K s 100. Write linear constraints to model the following logical relationships. In same cases, you may need to define additional variables. 1. If x 1 then y 1 2. If 1 then y 0. 3. r is not equal to y. 4. If y - 1 then a-0. 5. Either 1 or y 0 or both. 6. If x 0 and y 0 then z 0. 7. If.r 1 and y-0 then z 0 8. Ifx = 1 then to 3. 9. Either 0 or z > 20. 10. If 0 then z 2 50 and w 3 11. If 1 then w 3. 12. If: 25 then a1. 13. If y 1 then w+ 2 2. 14. If w + 3r S 4 then y 0. 15. If w+3r S 4 then w+r22. 16. Either w +3r 20. 10. If 0 then z 2 50 and w 3 11. If 1 then w 3. 12. If: 25 then a1. 13. If y 1 then w+ 2 2. 14. If w + 3r S 4 then y 0. 15. If w+3r S 4 then w+r22. 16. Either w +3r