Analisis Keuntungan Maksimum Dengan Konsep Turunan Pada Industri Percetakan

Abstract

In a business, profit is a must to reckoned with. Many factors affect the profits of a business, among them, the cost of production, operating costs, selling price, the number of penjulan and others. This study aims to analyze the maximum profit on a business theoretically. This research is a qualitative research using case study method. In this case, the researcher takes the sales data of Cahaya Bintang which is a business in the field of printing. The object of research is the advantage of selling business card and invoice book. Maximum profit will be analyzed by using derivative concept. The steps taken in determining the maximum benefit using the concept of derivatives are: 1) Determine the function of cost, demand function, acceptance function and profit function; 2) Define the first derivative of the profit function; 3) Determining the critical point of the first derivative of the profit function; 4) Analysis of critical point by using second derivative. Based on the results of the analysis using the concept of derivatives, sales of business card and invoice book will achieve maximum profits if the company is able to sell 309 boxes per month and for invoice book of 199 rim per month. Sales of business cards and invoice book in the previous month were below the maximum value determined based on the analysis results. Therefore the profit earned in the previous month has not reached the maximum profit.