Please state whether each option is true or false, and how do you calculate the expected value here? clear explanations please!

(15. Jane is visiting a broker to decide where to invest her retirement funds for the next 20 years (which constitute 100% of her savings). She visits her broker and he offers her two investments: she can invest in Project A, which is guaranteed to double her money over the 20 years, or she can invest in Project B, where there is a 50/50 chance that she will triple her money, and a 50/50 chance that she will make no gains at all and just have her original savings returned to her. Airi meanwhile, visits her broker to invest all of her savings for a 25-year period and gets different offers: Airi's broker offers Project C, which is guaranteed to triple the funds over a 25-year period, or Project D, which has a 50/50 chance of quadrupling her money, and a 50/50 chance that she will make no gains at all and have her original money returned to her. Consider the different utility functions over wealth (W) that Jane and Airi could have and state which projects they will invest in: i. With a utility function of U = W2, Jane will invest in Project A ii. With a utility function of U = W1/2, Jane will invest in Project A iii. With a utility function of U = W2, Airi will invest in Project C iv. With a utility function of U = Wl/Z, Airi will invest in Project C