Mr$.$ Altman has an idea for a new project, and he is considering starting a new business. Theinvestment cost for the new project is $$42$ million today. After one year, the project will eithersucceed or fail, the value of the project becoming $$100$ million or $$20$ million, respectively. SinceMr. Altman has no money today, he wants to finance the project either through equity or debt.Mr$.$ Altman knows that after the investment, he has opportunities to take private benefits fromthe project. If he gives up the private benefits, the project will succeed with $80\%$ probabilityand fail with $20\%$ probability. If he pursues the private benefits, he can get $$30$ million intohis pocket, but the project$$s probability of success reduces to $20\%$ and the probability of failureincreases to $80\%.$Assume all potential investors are risk$-$neural and the risk$-$free rate is $0.($a$)(4$ points$)$ What is the minimum fraction of total shares for potential equity holders to breakeven? Can this project be equity financed?$($b$)(4$ points$)$ What is the minimum face value of debt for potential debt holders to break even?Can this project be financed by debt