Solution of the problem yields the Kuhn-Tucker conditions for taxpayer utility (12) and the rent-maximizing condition (10), as shown above.
Once again, aggregating the Kuhn-Tucker conditions given in (12) over n individuals forms a downward-sloping boundary at G = ng(t) that is the Hicks-Niskanen demand for the public good.
functions of each individual, the Kuhn-Tucker conditions applying to
structural coefficients and the Kuhn-Tucker conditions to solve for the
checking which one satisfies the Kuhn-Tucker conditions. Since the
The Kuhn-Tucker conditions in this paper's model suggest that management of existing farmland is also affected by infrastructure development.
How agricultural colonists' decisions regarding deforestation and erosion control are affected by price changes or the introduction of new agricultural technology can be determined through partial differentiation of the Kuhn-Tucker conditions, equations  and .
Finally, we choose as the optimum the root that satisfies the remaining Kuhn-Tucker conditions (Equations (B11)-(B13)) and which yields strictly nonnegative values for consumption and bequests.
Assuming that consumption and bequest are strictly nonnegative, the Kuhn-Tucker conditions for the consumer's problem in the regulated case (F = 0) are