In manufacturing industries production scheduling is always a key to the company's economic growth and profitability. It defines the appropriate timing system for production. It also establishes just-in-time system of the company under study. In this research work, the researcher makes use of 36x75x40 size of foam product which was analyzed using response surface, integer programming and linear programming optimization tools to optimize the production output of the product. The result shows

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... maximum production output of the product using response surface, integer programming and linear programming were 1854 units, 2160.0 units and 2172.7 units respectively over any given monthly production. The results were recommended to the case company for optimum use in scheduling their monthly production output. Introduction Manufacturing is very critical to economic growth, prosperity and a higher standard of living. It is a catalyst for industrial and economic development. Its satisfy economic want of individual, communities and nations by manufacturing things in workshops by utilizing men, materials, machines, money and methods [1]. Essentially, manufacturing can be simply define as value addition processes by which raw materials of low utility and value to its inadequate material properties and poor irregular size, shape and finish are converted into high utility and valued product with definite dimensions, forms, and finish imparting some functional ability by utilizing resources [2]. The resources could be people, machines, computers and/or organized integration of one or more of the above mentioned [3]. To realize higher efficiency, there must be optimal allocation of these resources to activities (scheduling) Critical areas like cost, time, quality, and flexibility need to be optimize. Optimization is finding an alternative with the most cost effective or highest achievable performance under the given constraints, by maximizing desired factors and minimizing undesired ones. One of the tools of optimization is scheduling. Scheduling is the process of arranging, controlling and optimizing work and workloads in a production or manufacturing process. It is used to allocate plant and machinery resources, plan human resources, plan production processes and purchase materials [4]. It is an important tool for production, engineering and in sciences, where it can have a major impact on the productivity of a process. In manufacturing, the purpose of scheduling is to minimize the production time and costs, by telling a production facility when to make, with which staff, and on which equipment. Production scheduling aims to maximize the efficiency of the operation and reduce costs [5]. Wilson (2000a) provides an overview of manufacturing management and notes how modern manufacturing organizations developed from the mills and workshops and projects of the past. Unfortunately, neither of these