You have one supercomputer and ʼn normal computers on which you need to run n jobs. Each job i first spends s; time on the supercomputer and then n; time on the normal computer. A job can only start running on any of the normal computers after it has finished on the supercomputer. However, as soon as any job finishes on the supercomputer, it can immediately start on one of the free normal computers. The goal is to finish running all the jobs as soon as possible. Note that since there is only one supercomputer, you'll always have to wait 1 Si time so that the jobs finish running on the supercomputer. However, you can optimize when you run the jobs on the normal computers to try to finish running all the jobs as soon as possible. i=n Show that by executing jobs after sorting them in decreasing order by ni, you have an optimal schedule.

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