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Program Linier Integer Murni merupakan optimisasi kombinatorial yang tidak mudah untuk diselesaikan secara efisien. Metode yang sering digunakan untuk menyelesaikan Program Linier Integer Murni diantaranya adalah metode merative, yang merupakan salah satunya metode Branch and Bound. Metode ini menggunakan hasil dari metode simpleks yang belum bernilai integer sehingga dilakukan pencabangan dan batasan terhadap variabel x_j yang bernilai pecahan terbesar. Metode Branch and Bound dapat menyelesaikan masalah optimisasi suatu produk, tetapi membutuhkan waktu yang lebih lama dalam proses perhitungannya dikarenakan dalam setiap tahap perhitungan harus dicari nilai dari batas atas dan batas bawah yang ditentuan berdasarkan suatubatasandankriteria tertentu. Pure Integer Linear Program is combinatorial optimization that is not easy to solve efficiently. The method that is often used to complete the Pure Integer Linear Program is the merative method, which is one of the Branch and Bound methods. This method uses the results of the simplex method that is not yet an integer value so that the branching and limitation of the x_j variable is the largest fraction. The Branch and Bound method can solve the optimization problem of a product, but requires a longer time in the calculation process because in each calculation phase, a value must be sought from the upper and lower limits determined based on the boundary and certain criteria.

Decision making is an activity which is made in almost all economic and business activities. Specifically in trade, decision making on the supply of goods is made to maximize profit or minimize loss which becomes the problems which need to be studied. A fresh fruit trading system in supermarkets is simplified in a scenario which is aimed to determine the number of fresh fruit stocks each day. By random variable, an opportunity theoretical concept is used to approach the problem of how the amount of fresh fruit sold each day as the market demand in a trade system. Opportunity method and expectation concept were used to cope with the problems with the purpose of minimizing losses.

Nowadays, the education world in learning method is not only using a conventional method, which is basically, by an explanation from a teacher and merely from the learning books. But, with an effective and efficient learning method, so that the students are able to keep up and participate actively during the lesson, by taking an advantage of IT (Information Technology), especially for facing the changes in learning due to pandemic COVID-19. The contribution from people is one of the ways to carry out the socialisation of information technology. This community service, will be implemented in this research entitled "Active Learning in Online Teaching, in Swakarya Senior High School, Binjai", with an intention to assist teachers while in the process of learning, to be more interesting and enjoyable although it is done through a distance learning. The learning application will be given to all of the senior high school teachers, as is to prepare and use this learning application, in order to broaden the perception and to motivate the teachers, and eventually they will be able to motivate the students as well. Moreover, this will help to upgrade the quality of education.

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