On april 1st (4/1), a lazy mba student suddenly realizes that he has done nothing on seven different homework assignments and projects that are due in various courses. he estimates the time required to complete each project (in days) and also notes their due dates: project 1 2 3 4 5 6 7 time (days) 4 8 10 4 3 7 14due date 3/20 4/17 4/28 4/28 4/12 4/7 4/15 because projects 1, 3, and 5 are from the same class, he decides to do those in the sequence that they are due. furthermore, project 7 requires results from projects 2 and 3, so 7 must be done after 2 and 3 are completed. determine the sequence in which he should do the projects in order to minimize the maximum lateness.