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5. Copy Master is a company that specializes in making lots of copies. The company has m copy machines of varying capabilities and speed. The time required to complete any of n types of jobs varies with machine choice. Let gj be the machine time required to complete a job of type j = 1,2,...,n using machine i = 1,2,...,m. Suppose Copy- Master has , jobs of each type j to complete. The machines can run concurrently. This week begins with the maching data and job requirements listed in the following tables. Times Cij are in minutes. Cij = = 2 i=3 l j = 2 3 4 5 6 6 128 12 10 3 8 6 12 7 6 10 8 11 6 6 7 3 98 103 10 j=1 j = 2 641190 j = 3 386 j = 4 469 j = 5 395 j = 6 482 N In order to improve the logistics of dividing and re-combining job types, also consider constraints to enforce a lower bound on the size of subjobs at 24. That is, if any machine is used to make a batch of copies, then that batch must be at least 24 copies Formulate a mixed-integer program that can be used to decide how to assign jobs to machines in order to complete the jobs as quickly as possible. Remember, machines run concurrently 5. Copy Master is a company that specializes in making lots of copies. The company has m copy machines of varying capabilities and speed. The time required to complete any of n types of jobs varies with machine choice. Let gj be the machine time required to complete a job of type j = 1,2,...,n using machine i = 1,2,...,m. Suppose Copy- Master has , jobs of each type j to complete. The machines can run concurrently. This week begins with the maching data and job requirements listed in the following tables. Times Cij are in minutes. Cij = = 2 i=3 l j = 2 3 4 5 6 6 128 12 10 3 8 6 12 7 6 10 8 11 6 6 7 3 98 103 10 j=1 j = 2 641190 j = 3 386 j = 4 469 j = 5 395 j = 6 482 N In order to improve the logistics of dividing and re-combining job types, also consider constraints to enforce a lower bound on the size of subjobs at 24. That is, if any machine is used to make a batch of copies, then that batch must be at least 24 copies Formulate a mixed-integer program that can be used to decide how to assign jobs to machines in order to complete the jobs as quickly as possible. Remember, machines run concurrently