1. Suppose we are developing a model where xij is a binary variable describing whether job i is assigned to machine j, i = {1,...,m} and je {1,...,n}. Write linear constraint (s) to ensure that a. Each job can be assigned to at most 2 machines. b. We cannot assign more than 3 jobs to machine 5. c. If job 1 is assigned to machine 2, then job 3 should be assigned to machine 4. d. The number of jobs assigned to machine 5 is not less than the total number of jobs assigned to machine 7 and machine 9. e. If jobs 3, 4 and 5 are assigned to machine 2, then job 5 cannot be assigned to machine 3.

1. Suppose we are developing a model where xij is a binary variable describing whether job i is assigned to machine j,i{1,,m} and j{1,,n}. Write linear constraint(s) to ensure that a. Each job can be assigned to at most 2 machines. b. We cannot assign more than 3 jobs to machine 5 . c. If job 1 is assigned to machine 2 , then job 3 should be assigned to machine 4 . d. The number of jobs assigned to machine 5 is not less than the total number of jobs assigned to machine 7 and machine 9 . e. If jobs 3,4 and 5 are assigned to machine 2 , then job 5 cannot be assigned to machine 3