It should be that a company in any field will follow the laws of capital economics that is getting the maximum profit with the smallest effort. This is where optimization as an attempt to get the maximum profit begins. This study aims to help determine the optimum value in a product sales mix by applying partial differential theory and analyzing the margins' contribution between variable costs, fixed costs, and sales volume. The method used in this research is a case study of partial differential theory using tools in Curve Fit - Tools version 1.6 which is used to obtain a suitable curve using the Least Square Approximation method. The results of the study are obtained the optimal composition value of the sales mix in the form of five types of shirts to produce the most optimal profit obtained by the company. From the calculations that have been done, it turns out that the profits obtained by the company from the sale of products after using partial differential theory are 22% higher than the profits obtained before using partial differential theory
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