Sara likes playing Pool (P) and watching Cinema (C). The cost of a Pool is 2 Birr and that of Cinema is 4 Birr. Sara’s income allotted for this is birr 100 and her utility function is U (P, C) = P^2C^2. Then calculate: A)Find Sara’s utility maximizing levels of pool played and cinema watched. Find also her utility level from consuming that utility maximizing levels of pool and cinema. B)Suppose that the price of cinema increases to 5 Birr then, find Sara’s utility maximizing levels of pool played and cinema watched with this new price of cinema. C)Find the income necessary to make Sara reach the same utility level as before the price change.​