In this study, we have applied optimal control theory to determine the optimum value of tax revenues accruing to a state given the range of budgeted expenditure on enforcing tax laws and awareness creation on the payment of the correct tax. This is achieved by maximizing the state's net tax revenue over a fixed time interval subject to certain constraints. By assuming that the satisfaction derived by the Federal Government of Nigeria on the ability of the individual states to generate tax revenue which is as near as the optimum tax revenue (via the state's control problem) is described by the logarithmic form of the Cobb–Douglas utility function, a formula for horizontal revenue allocation in Nigeria in its raw form is derived. Afterwards, we illustrate the use of the proposed horizontal revenue allocation formula using hypothetical data.
In this paper, we treat the following problem: Given a stable Gani-type personflow model and assuming no negative recruitment, what recruitment distribution at the n step is capable of generating a staff-mix that closely follows the desired structure? We relate this problem to the challenge of universities in Nigeria towards attaining the desired academic staff-mix by rank specified by the National Universities Commission (NUC). We formulate a population-dynamic model consisting of aggregate-fractional flow balance equations within a discrete-time Markov chain framework for the system. We use MATLAB as a convenient platform to solve the system of equations. The utility of the model is illustrated by means of academic staff flows in a university-faculty setting in Nigeria.
The use of mathematical'models for educational planning has gained prominence in recent times as a means Y :eyer quantitative planning in education. This paper presents the use of Markovian model to project the future ??'vent level of students in a course of study in a ,un,iversity in Nigeria. The study aimed at refining the method of r-o,/ious authors. Further, the assumpiion of certain constant values in the rate of new intake by some authors is-r v v e d and a better method for calculating the constant vakre of this increment in new intake is introduced.
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