Consider the article in the Wall Stret Journal for $29$ December, $2022,$ especially try to imagine the system called SkySolver. $(1)$ In normal conditions, what is the problem SkySolver is trying to solve? Specifically, what do you suppose is its objective function? $(2)$ Why did SkySolver fail so thoroughly in those days last September? Was the system itself wrong or the problem too complex, for instance? $(3)$ What would be the analogy of "deadheading" in the UC Davis Registrar's system for scheduling classes?