3 (35 points) Two preparatory school instructors are supposed to give tests to four sections. Mr. Brian Pitt is going to give the speaking test and Mrs. Angie Joliette is going to give the writing test. The amount of time needed for each test is different for each section. Times required in minutes are given in the table below. Writing Speaking Section 1 5 6 Section 2 Section 3 Section 4 2 3 4 3 2 4 Writing test will be given in the following order of sections 4-3-2-1 and speaking test will be given in the order of sections 4-1-2-3. Students in one section can only move to other test when they are all done. Mr. Pitt and Mrs. Joliette want to finish their work as soon as possible and go out for a dinner. a) (20 points) If it is 09:00 now, what is the earliest time they can be done? b) (15 points) Draw a Gantt chart for the schedule you found in part (a)