( 40 points) There are 4 workers to finish 4 jobs. One worker can be assigned to one job, and each job must be finished. As the skill set of workers are different, the required time to finish each job varies for each worker. The required job processing time for each worker is presented in the following table. a. Formulate an MIP model to determine the job-worker assignment so as to minimize the total time required to finish all jobs. b. Formulate an MIP model to determine the job-worker assignment so as to minimize the maximum job finish time. For example, if we assign worker 1 to job 1 , worker 2 to job 2 , worker 3 to job 3 , and worker 4 to job 4 , then the maximum job finish time will be 40 . c. The manager realizes that if worker 1 is assigned to job 1 , then worker 2 must be assigned to job 3. Also, if worker 3 is assigned to job 3 and worker 4 is assigned to job 4 , then worker 1 must not be assigned to job 1. Formulate these constraints by the decision variables that you have defined earlier