Two law students, John and Marsha, are planning an all-nighter to prepare for their law boards the following day. Between them they have one set of materials in the following five subjects: contracts, torts, civil law, corporate law, and patents.

Based on their previous experience, they estimate that they will need the following amount of time (in hours) with each set of materials:

Contracts Torts Civil Corporate Patents John 1.2 2.2 0.7 0.5 1.5 Marsha 1.8 0.8 3.1 1.1 2.3 They agree that Marsha will get the opportunity to see each set of notes before John. Assume that they start their studying at 8:00 P.M. Determine the exact times that each will begin and end studying each subject in order to minimize the total time required for both to complete studying all five subjects.