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This research employs a Systematic Literature Review (SLR) approach to analyze the application of the simplex method as a tool for solving real-world optimization problems. Mathematics education plays a crucial role in developing critical thinking and achieving accurate results. Linear programming, with its highly effective simplex method, is a branch of mathematics proven to solve various optimization challenges such as cost minimization, profit maximization, distribution, and scheduling. In practice, the simplex method is an alternative algorithm that systematically searches for the optimal solution to problems by moving from one feasible solution to another until the best result is achieved. This study identifies, examines, evaluates, and interprets relevant studies on the simplex method's application in real-world contexts. Our review of 20 journals reveals that the simplex method is highly effective in solving a wide range of optimization problems, from large-scale industries to Micro, Small, and Medium Enterprises (MSMEs). Examples of its application include optimizing fish feed costs at PT. Indojaya Agrinusa, maximizing profits for Seblak MSMEs, determining optimal sales quantities for areca nuts, and optimizing the production of tofu and pottery crafts, among others. The simplex method's ability to consider various limiting factors has proven to be extremely helpful.

The Bayat community is a community that has skills in making pottery crafts. Selling pottery crafts is one of the uses of individual creativity and skills and talents possessed by the Pagerjurang Bayat Klaten community which can be used to create prosperity and employment opportunities through the creativity and inventiveness of individual communities. The potential that exists not only requires capital, energy and funds for manufacturing, but Bayat village pottery entrepreneurs need to change their marketing strategy by using modern technology in the form of using Android devices in building their marketing strategy. This Community Service aims to motivate pottery entrepreneurs to form creative ways of thinking and productive behavior in developing marketing through Android devices. The Community Service Method uses qualitative and quantitative methods as a strategy for achieving goals. And as a result of community service activities, pottery craftsmen are able to implement marketing strategies using Android devices, so that sales turnover targets are achieved

The rapid development of Information Technology encourages Pagerjurang- Melikan MSME residents to always develop creations and have creativity in achieving maximum results in all fields. The need for easy, fast and timely information has become a way of life for humans, in the current 4.0 to 5.0 era. The rapid business competition forced the owners of the Pagerjurang - Melikan pottery craftsmen to find the right media to sell their products and innovate to develop more attractive and highly marketable types and forms of products. Purpose of Outreach Socialization Development of Website-Based Prototype Company Profile Umkm Pottery and Ceramic Entrepreneurs Pagerjurang Melikan Bayat – Wedi Klaten. Website is an internet application that can be accessed by almost all people today. The purpose of implementing PkM activities is to design and develop a website-based prototype company profile for Umkm Pottery and Ceramic Entrepreneurs Pagerjurang Melikan Bayat – Wedi Klaten. Because the sales made by MSMEs are still traditional, although there are some who have used the WA group and Facebook, but have never used a website application. The company profile prototype development method is waterfall, namely through several stages starting from planning and data collection, system design with Data Flow Diagrams (DFD), Entity Relationship Diagrams (ERD), programming in PHPMySQL and XAMPP languages. Results of the Company Profile Website for UMKM Pottery Pager Jurang - Melikan Pay -Wedi Klaten, Outcome of implementing the Website which is expected to help provide solutions to problems encountered during the process carried out by UMKM manually.