Please solve it by hand-writing

PROBLEM -2) (25 Pts.) On May 1, the XYZ company has the following projects that are due. The engineer in charge of the coordination of the projects estimates the time required to complete each project (in days) and also notes their due dates: 1 5 2 7 3 5 4 2 5 9 6 6 7 5 Project Time (Days) Due Date 4/20 5/17 5/28 5/28 5/12 5/7 5/15 Because projects 1, 3, and 5 are from the same customer, 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