Harvard Business School case study called American Home Products.$($a$)$ Calculate and summarize in a table the projected tax savings, eps, dividend per share changes as well as the percentage of stock that could be bought back if AHP takes on capital structures of $30$ percent, $50$ percent, $70$ percent respectively in $1981.($b$)$ Next, considering these numbers, the impact on bond ratings, and any relevant firm features $($e$.$g$,$ product type, mix, culture, etc....$)$ explain which of these three capital structures $(30$ pct$,50$ pct$,70$ pct$)$ would be best for AHP."