Question

A financial analyst models a company's total annual revenue, $R(t)$, and total annual expenses, $E(t)$, in thousands of dollars, as linear functions of time $t$, where $t$ represents the number of years since 2020. In 2022 ($t = 2$), the annual revenue was $\$850,000$ and annual expenses were $\$610,000$. In 2025 ($t = 5$), the annual revenue reached $\$1,120,000$ while annual expenses reached $\$700,000$. Assuming these linear trends continue, in which calendar year will the company's annual profit (defined as total annual revenue minus total annual expenses) reach exactly $\$540,000$?