Your team has been assigned to complete 10 client projects over the next two months. These projects and their processing times time taken to complete a project once started, in days) are described in the table below. In addition, each project has a due-date that has been set by your internal marketing team so that the customers will be delighted with your service if you complete the project by the due-date. However, your team has only enough resources to pursue exactly one project at any given time. Once started, a project is worked through its completion and is not interrupted. As a result of the sequence in which you choose to handle projects, each project will either be on time, or late if it is completed past the due date. If a project is late, the amount of time by which it misses its due-date is called its tardiness. The objective is to pick the sequence in which to complete the projects so as to minimize the total tardiness in the schedule. a. What is the minimum total tardiness and a sequence in which you should perform the projects that achieves it? Project # 1 2 3 4 5 6 7 8 9 10 Processing time (days) 6 1 2 5 9 8 12 3 9 7 Due date 17 5 25 15 20 8 24 50 20 0000 2 44