Educational production and optimal class size
| dc.creator | Foregger, Thomas H. | |
| dc.date | 2004-12-31 | |
| dc.date.accessioned | 2026-07-07T05:15:44Z | |
| dc.date.available | 2026-07-07T05:15:44Z | |
| dc.description | Lazear (2001) (Quarterly Journal of Economics, v. 116, p. 777-803) provided a model of a private school with a particular profit function. Using an alternative, related profit function I show that an optimal solution has nearly equal class sizes. I also offer a conjecture about the roots of a certain family of polynomials, which if true, allows one to conclude that if students become less disruptive or teacher cost increases, then the optimal solution for a profit maximizing school is generally, but not always, to use fewer classes. I also show that if the school has s>1 types of students, then the optimal solution will have at most s-1 mixed classes and its bipartite graph is a forest. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0412559 | |
| dc.identifier | http://arxiv.org/abs/math/0412559 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73732 | |
| dc.subject | Optimization and Control | |
| dc.subject | Combinatorics | |
| dc.subject | 90C90, 90C10, 90B30 (Primary) ; 05C50 (Secondary) | |
| dc.title | Educational production and optimal class size | |
| dc.type | text |