Allahnana, Kwanza MaikudiSulayman, Muhammed BSulaiman, Alhaji Ismaila2023-12-132023-12-132019-03-22Allahnana, K.M et. al (2021) Instrument for modeling optimization problems-solving process: implication for / mathematical expression.https://keffi.nsuk.edu.ng/handle/20.500.14448/4163This paper is in qualitative in nature through which it investigated the instrument for modeling problem-solving process with an implication for Mathematical Expression. Most real world problems solving are concerned with maximizing or minimizing some quantity so as to optimize some outcome. Calculus is the principal "instrument" in Finding the best solutions to these practical problems solving. The implications of mathematical^expressLoii of optimization problem-solving consists of a set of variables that describe the state onhe'systehiTcdnstrainTs that'determine the stales that are allowable, external input parameters and data, objective function that provides an assessment of how well the system is functioning. The important step in the optimization process is classifying as optimization model, since algorithms for solving optimization problems are tailored to a particular type of problem. Some models only make sense if the variables take on values from a discrete set, often a subset of integers, whereas other models contain variables that can take on any real value. Models with discrete variables are discrete optimization problems solving process; models with continuous variables are continuous optimization problems solving process. Continuous optimization problems solving tend to be easier to solve than discrete optimization problems; the smoothness of the functions means that the objective function and constraint function values at a point xcan be used to deduce information about points in a neighborhood of x. The paper further highlight instrument for modeling optimization problems-solving process, steps in the optimization problem-solving process with an implication for Mathematical Expression.enInstrument, modeling, optimization problems and implication.Article