00:00 Slide 1: Integer and mixed-integer programming
00:28 Slide 2: Your three-hour study route
00:55 Slide 3: Recall the LP certificate
01:23 Slide 4: Three kinds of decisions
01:52 Slide 5: A small integer production problem
02:22 Slide 6: Solve the continuous relaxation
02:56 Slide 7: Rounding is not a solution method
03:26 Slide 8: The integer optimum
03:53 Slide 9: Bounds depend on objective direction
04:23 Slide 10: Pause: check a proposed batch plan