$(10$ points$)$ Each day at the Graphic Arts Co$.$ the press operator is given a list of jobs to be done during the day. He must determine the order in which he does the jobs based on the amount of time it takes to change from one job setup to the next. He will arrange the jobs in an order which minimizes the total setup time. Assume that each day he starts the press from a rest state and returns it to that state at the end of the day. Suppose on a particular day he must do six jobs for which he estimates the changeover times given in Table $5.$ What schedule of jobs should the operator use? $($Feel free to use $c_{ij}$ to represent the coefficients in the table if necessary.$)$