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Introduction
We will solve these three optimization problems in Lingo with just a few lines of code, complete with explanations for each line. Hello, welcome to Cerdas Inovasi Digital. In this series, we will learn how to solve linear programming problems using the Lingo software, starting from writing the model to interpreting the results. In the first part, there are three problems. Let's get started. Before we begin, let's get to know the basic rules of Lingo. A model starts with the model keyword and ends with end. The objective function is written as max equals, or min equals. Each statement ends with a semicolon. Comments start with an exclamation mark, and constraint names are written within parentheses.
Step 1: Create a new model 9
The first problem, the Mabel company makes three table models, namely minimal, classic, and elegant, with selling prices of 200, 400, and 250. The table shows how many tables are completed per day in each process if only one model is made. So one minimal table uses fifteen percent of the cutting capacity. The cost per unit is calculated by dividing the daily cost by the capacity. For minimal, the result is 25.
Result Problem 1: maximum profit 7700
The second problem, walls are made from three materials, A, B, and C. Each centimeter of material has different thermal resistance, load-bearing capacity, and cost. Total thermal resistance must be at least 120, and load-bearing capacity must be at least 42. We need to find the thickness of each material to minimize the cost.
Result Problem 2: minimum cost 30 1)
Third question, the candle factory buys raw material X3 with 40% wax content and X4 with 60% wax content. The product X1 has 90% wax content and X2 has 80% wax content. The wax output should not exceed the wax input, maximum intake of 1600 megagrams per hour, and packaging capacity is divided between X1 and X2.
Result Problem 3: maximum profit 3650 0
Done. We have completed three linear programming problems using Lingo. In part two, we learn about sets and data for larger models. Don't forget to like, subscribe, and share. Goodbye. Want to master optimization with Lingo? Cerdas Inovasi Digital offers Lingo and Excel Solver courses, optimization model development services for production, distribution, and scheduling, as well as selling Lingo model files from this series complete with PDF explanations. Contact us via WhatsApp, or visit cerdasinovasidigital.com.
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Cerdas Inovasi Digital Team
Software developers, BIM & 3D engineers, and AI practitioners
52 video classes1,276 episodes
We build software, BIM models, games and AI automations for clients every day, and turn that hands-on work into step-by-step classes: every step is shown on screen and comes with a PDF guide you can keep.
