You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation: If both of you work hard, you both get an A, which gives each of you 40 units of happiness. If only one of you works hard, you both get a B, which gives each of you 30 units of happiness. If neither of you works hard, you both get a D, which gives each of you 10 units of happiness. Working hard costs 25 units of happiness, whereas avoiding hard work doesn't cost any happiness. a. Calculate the happiness payoff to you and to your classmate in 4 possible scenarios: Scenario-1: Both you and your classmate work hard. Scenario-2: Both you and your classmate avoid hard work. Scenario-3: You work hard but your classmate avoids hard work. Scenario-4: You avoid hard work but your classmate works hard. b. What is the likely outcome? Explain your answer. c. If you get this classmate as your partner on a series of projects throughout the year, rather than only once, how might that change the outcome you predicted in part b