step by step with calculations if possible please

Question 4 Rosehip plc and Sage plc are two companies that are facing the same business risk. They have both experienced significant growth in recent years although the efficiency of the current financial markets is questionable. Rosehip plc had planned to continue the company's growth trend in 2020 but the Covid-19 pandemic has restricted that plan to some extent. However, a favourable climate for borrowing has helped fuel the growth, enabling the management to invest heavily in the one specific sector. Despite rumours that Sage plc were considering a reduction in dividend distribution policy, both Rosehip plc and Sage plc continue to distribute all earnings to their shareholders. Rosehip plc has operating earnings before interest and tax of 104 million per annum. The company is financed by 61 million ordinary shares with a market value of 420p each and by 204 million 10% irredeemable debentures with a current market value of 150 per 100 nominal. Sage plc is financed by 16 million ordinary shares with a market value of 610p each and by 64 million 5% irredeemable debentures currently trading at 75 percent. Sage plc has operating earnings before interest and tax of 21.5 million per annum. Mr Tea is a shareholder in Rosehip plc, with a holding of 12,810 ordinary shares. Mr Tea is thinking of selling his shares in Rosehip plc and buying shares in Sage plc, as he believes he may be able to make a capital gain by doing so. Mr Tea is confident that he is able to borrow or lend at a very competitive rate of interest. The rate of corporation tax is 25%. (a) (i) Derive the various after tax costs of finance and the overall weighted average cost of capital for both Rosehip plc and Sage plc. 30 marks (ii) Mr Tea has asked for your advice as he wishes to switch his investment from Rosehip plc to Sage plc but retain his investment profile. Carefully explain showing all calculations what actions Mr Tea would have to take in order to achieve this position. Fully explain your answer. Would you advise Mr Tea to go ahead with such a switch? Also, calculate Mr Tea's income position in Rosehip plc and Sage plc both before and after the switch. 50 marks (b) Explain how you would try to estimate the beta factor of a new project with different characteristics to current operations. Discuss the theoretical and practical problems you might encounter. 20 marks