## 1 Introduction  
Data on the scale-up and production cost of extracts obtained under supercritical conditions are lacking in the literature. This information is crucial for promoting technology transfer to an industrial scale. Given Brazil's rich biodiversity and the potential to add value without degrading the environment, an economic analysis of the process with supercritical fluid is important for providing information on the installation of an industrial unit in the country [1]. Plants have been used since ancient times for the treatment of various infectious diseases, some of which have evolved into conventional therapies for a range of ailments. Over the past decade, there has been significant interest in natural remedies, spanning both developing and developed countries [2]. As a result, herbal medicines are now readily available, not only in pharmacies but also on the shelves of supermarkets and food stores. Researchers have extensively studied different parts of these plants, including their fruits, roots, flowers, and leaves, to investigate their various pharmacological properties, such as antianxiety, antidepressant, diuretic, antimicrobial, cytotoxic, antihyperlipidemic, cardio-protective, analgesic, anti-inflammatory, anthelmitic, antihyperglycemic, antihepatotoxic, antiqurolithiatic, antistress, antiulcer, anticancer, hepatoprotective, anthelmitic, immunomodulatory, and antioxidant effects [3]. The scientific and technological interest in _S. terebinthifolius_ fruits spans various facets, including its therapeutic potential, antioxidant and antimicrobial activities, and its relevance in pharmaceutical applications and agricultural production systems, where it contributes to natural defense mechanisms. Bioactive compounds, which are prevalent in natural sources, play a pivotal role by exhibiting reported biological effects and being instrumental in preventing diseases associated with oxidative stress [4]. The utilization of plants holds a prominent place in Brazilian folk medicine, a reservoir of knowledge accumulated through generations of native populations. Among the extensive array of native plant species in the country, _Schinus terebinthifolius_ Raddi from the Anacardiaceae family, commonly known as pink pepper, has multifaceted biological activities that exhibit potential applications in addressing various conditions, including ulcers, arthritis, rheumatism, wound healing, and even cancer [5; 6; 7]. This underlines the significant potential for exploring and commercially harnessing _S. terebinthifolius_ due to its medicinal, cosmetic, and culinary attributes. Moreover, _S. terebinthifolius_ contains compounds endowed with antimicrobial properties, rendering it efficacious against specific bacterial and fungal strains. Numerous studies have unveiled the antimicrobial process of _S. terebinthifolius_ essential oil against a spectrum of bacteria and yeast strains [8; 9; 10; 11]. Additionally, dried fruits and extracts have demonstrated antimicrobial effects against foodborne pathogens such as _E. coli_ and _Salmonella_. Nevertheless, further research is required to comprehensively comprehend its antimicrobial properties and explore its potential applications. The extraction technique employed in obtaining natural product extracts directly influences the final composition and quality of the extracts. The extraction procedure is determined by the class of compounds to be extracted and the objective of the process (whether it is quantitative or qualitative). In other words, the process yield and extract composition depend on both the solvent used and the extraction method applied [12]. Conventional extraction techniques using organic solvents, such as ultrasound and Soxhlet extraction, are commonly applied in the chemical, pharmaceutical, and food industries to obtain various extracts. These techniques can utilize a wide range of solvents, including methanol, hexane, chloroform, ethyl acetate, acetone, and ether.