FOXO1 (Fоrkheаd bоx O1) is а trаnscriptiоn factor that plays a crucial role in regulating glucose metabolism. It promotes the transcription of genes encoding gluconeogenic enzymes, such as PEP carboxykinase and glucose-6-phosphatase, which are critical for glucose production in the liver. Additionally, FOXO1 represses the expression of glycolytic enzymes and those involved in the pentose phosphate pathway (PPP), thus balancing glucose production and consumption in response to cellular signals. The activity and localization of FOXO1 are tightly regulated by insulin. In its unphosphorylated state, FOXO1 remains in the nucleus, where it binds to DNA and regulates gene expression. However, in the presence of insulin, FOXO1 becomes phosphorylated, leading to its translocation from the nucleus to the cytosol. Once in the cytosol, phosphorylated FOXO1 undergoes ubiquitination, targeting it for proteasomal degradation. This insulin-mediated regulation allows for a rapid switch from gluconeogenesis to glycolysis when glucose is plentiful, effectively reducing glucose production. Furthermore, the regulation of gene transcription by FOXO1 and other transcription factors is highly complex. For example, the promoter region of the PEP carboxykinase gene contains up to 15 distinct response elements, reflecting the intricate control mechanisms involved in regulating gluconeogenesis. These response elements allow various signals, such as hormones and nutrients, to finely tune the expression of PEP carboxykinase, ensuring that glucose production is appropriately adjusted to meet the body's metabolic demands. Which of the following best describes the mechanism by which insulin regulates the activity of FOXO1?