$12.$ Imagine you are tasked with evaluating an investment opportunity for a manufacturing company. This project involves significant spending on equipment and decisions about how to pay for it$.$ Considering the complexities of financing choices in capital budgeting, how would you approach assessing this investment using the Weighted Average Cost of Capital $($WACC$),$ Adjusted Present Value $($APV$),$ and Flow to Equity $($FTE$)$ methods? Be sure to talk about the strengths and weaknesses of each method and explore when each approach would be most helpful to apply.