please help me on this

PART 2: (25 pts) Kanye West is considering switching from rap to country music. He knows he will be successful if he makes another rap album. But if he decides to produce a country album, then that album will either be a huge hit, or a flop. Let income be measured in millions of dollars. Suppose Kanye will for sure make $25 million (income = 25) if he produces a rap album. In contrast, if he produces a country album, then there is a 40% probability that he will make $64 million (income = 64), and a 60% probability that he will only make $16 million (income = 16). EXPECTED INCOME AND EXPECTED UTILITY: a. What is Kanye's expected payoff if he produces a country album? (3 pts) b. Kanye's utility function is given by U(income) = vincome (recall income is measured in millions of dollars). What is his (expected) utility if he produces a rap album? (3 pts) c. What is his expected utility if he produces a country album? (5 pts) d. Bill Gates offers to produce the rap album together with Kanye West. He is willing to give Kanye a guaranteed amount of money to work with him, in addition to letting Kanye keep all the revenue from the album.' Suppose Bill's involvement does NOT change the payoffs from the album. How much money does Bill have to give Kanye so that he would agree to work with him instead of making the country album? (5 pts) GAME THEORY: e. Now suppose Drake is also considering making a country album. Kanye and Drake realize that their payoff from making an album depends on what album the other person produces. In fact, they realize their payoffs can be described as below: Drake Rap Country Rap 15 16 Kanye 20 23 Country 18 15 21 19