89 Appendix 9: Shutdown point Appendices Appendix 9: Shutdown point The investment analysis in Chapter 3 weighs the benefits generated by the college against the state and local taxpayer funding that the college receives to support its operations. An important part of this analysis is factoring out the benefits that the college would have been able to generate anyway, even without state and local taxpayer support. This adjustment is used to establish a direct link between what taxpayers pay and what they receive in return. If the college is able to generate benefits without taxpayer support, then it would not be a true investment.46 The overall approach includes a sub-model that simulates the effect on student enrollment if the college loses its state and local funding and has to raise student tuition and fees in order to stay open. If the college can still operate without state and local support, then any benefits it generates at that level are discounted from total benefit estimates. If the simulation indicates that the college cannot stay open, however, then benefits are directly linked to costs, and no discounting applies. This appendix documents the underlying theory behind these adjustments. State and local government support versus student demand for education Figure A9.1 presents a simple model of student demand and state and local government support. The right side of the graph is a standard demand curve (D) showing student enrollment as a function of student tuition and fees. Enrollment is measured in terms of total credit hour equivalents (CHEs) and expressed as a percentage of the college’s current CHE production. Current student tuition and fees are represented by p’, and state and local government support covers C% of all costs. At this point in the analysis, it is assumed that the college has only two sources of revenues: 1) student tuition and fees and 2) state and local government support. Figure A9.2 shows another important reference point in the model – where state and local government support is 0%, student tuition and fees are increased to p’’, and CHE production is at Z% (less than 100%). The reduction in CHEs reflects the price elasticity of the students’ demand for education, i.e., the extent to which the students’ decision to attend the college is affected by the change in tuition and fees. Ignoring for the moment those issues concerning the college’s minimum operating scale (considered below in the section called “Calculating benefits at the shutdown point”), the implication for the investment analysis is that benefits to state and local government must be adjusted to 46 Of course, as a public training provider, the college would not be permitted to continue without public funding, so the situation in which it would lose all state support is entirely hypothetical. The purpose of the adjustment factor is to examine the college in standard investment analysis terms by netting out any benefits it may be able to generate that are not directly linked to the costs of supporting it.
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