Art History 1C, Baroque to Modern Art, has 10 sections spread over 4 TAs. The TAs have constraints on their schedules because of the courses they themselves take.

(1) What allocation of the TAs among the sections do you propose? (Please use a row from 1 to 10 and underneath each indicate the TA, using TA1, TA2, etc.)

(2) In as much mathematical notation as possible (really, more technical notation), what is your objective function? Are you minimizing or maximizing that objective function?

Scheduling of TAs for AHI1C Which sections to which TAS? 1 2 3 4 5 6 7 M9 M2 M3 W9 W 10 W1 W2 19 20 20 13 18 20 16 8 9 Section # Day and time Enrollment 10 R3 T4 R4 11 19 10 Availability of TAS (X is available) TA1 X x x x x x X TA 2 X X X X X TA3 X X TA 4 X X X X X X X TAs will grade exams of students in their sections, so an even distribution is better. TA 1 will be handling some administrative duties, so better to keep that TA's total low. TA 3 could take sections on Wednesdays if absolutely necessary. Scheduling of TAs for AHI1C Which sections to which TAS? 1 2 3 4 5 6 7 M9 M2 M3 W9 W 10 W1 W2 19 20 20 13 18 20 16 8 9 Section # Day and time Enrollment 10 R3 T4 R4 11 19 10 Availability of TAS (X is available) TA1 X x x x x x X TA 2 X X X X X TA3 X X TA 4 X X X X X X X TAs will grade exams of students in their sections, so an even distribution is better. TA 1 will be handling some administrative duties, so better to keep that TA's total low. TA 3 could take sections on Wednesdays if absolutely necessary