In recent years, the Peruvian Ministry of Education has been conducting census evaluations aimed at fourth-grade elementary and second-grade high school students, in the subjects of mathematics, reading comprehension, social sciences and science and technology, whose results are qualified as Before beginning, Beginning, In process or Satisfactory. According to the latest census (ECE 2018) applied to high school students, it is observed that, although the area of mathematics has the second highest percentage qualified as Satisfactory (14.1%), it has the disadvantage of registering 36.4% as Beginning and 33.7% as Before beginning, which represents one of the biggest obstacles to achieve optimal academic performances across all subjects evaluated. For these reasons, this research aims at improving and consolidating mathematical knowledge in high school students through the strategic distribution of tutoring centers, within the Lima Metropolitan Area. To achieve this, the ECE 2018 database was analyzed to cluster the results according to the districts constituting each of the five areas of Lima; subsequently, those areas in which centers are primarily required were identified; and finally, through mathematical optimization, the optimal number of centers required and their locations to maximize the coverage were determined.

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In recent years, the tendency to consume healthy products has increased, which has allowed the entrance of new products to the food and beverage sector. The present business idea arises from the identification of an unmet need in the beverage sector. As a part of the first stage, it has conducted a market research in order to identify the target customer segment and know those characteristics that is expected to be obtained from the product; furthermore, this research has enabled to estimate the demand to satisfy. In the second stage, it has been defined the composition of the beverage, the phases of the production process and the necessary manufacturing machinery for its development; in this stage, it also has been studied benefits provided by each of the medicinal herbs used in the preparation of the product. Finally, in the third stage, it has been evaluated the profitability of the project, for which was considered the total investment required to its implementation and the annual income and expenditure, based on the estimated demand. Considering these values, it has been obtained a net present value of 510,582.332 soles and an internal rate of return of 49.66%, and, consequently, it has been validated the viability of the production and sale of the proposed beverage.