Fourteen jobs must be assigned to one of three identical machines. The goal is to minimize the total time needed to complete all 14 jobs. The machine capacities and times needed for the jobs are given...

Fourteen jobs must be assigned to one of three identical machines. The goal is to minimize the total time needed to complete all 14 jobs. The machine capacities and times needed for the jobs are given in file P08_25.xlsx. For example, job 8 requires three units of capacity on a machine for two hours. At any given time, a machine has five units of capacity. How should the jobs be assigned to machines to achieve the earliest possible completion of all jobs?