please show all work and formulas

Assume perfect capital markets. Consider a project with free cash flows in one year of $90,000 in a weak economy or $117,000 in a strong economy, with each outcome being equally likely. The project lasts for one year. The initial investment required for the project is $80,000, and the project's cost of capital is 15%. The risk-free interest rate is 5%. a. Suppose that the initial investment is fully financed by equity. The equity holders will receive the cash flows of the project in one year. What is the market value of the unlevered equity for this project? b. Now, suppose instead that to raise the funds for the initial investment, the firm borrows $40,000 at the risk free rate and issue new equity to cover the remainder. What are the cash flows that equity holders will receive in one year in each weak and strong economy? c. What is the value of the firm's levered equity from the project? d. What is the cost of capital for the firm's levered equity