(Altruistic preferences) Person 1 cares both about her income andabout person 2’s income. Precisely, the value she attaches to each unit of her ownincome is the same as the value she attaches to any two units of person 2’s income.How do her preferences order the outcomes (1, 4), (2, 1), and (3, 0), where thefirst component in each case is person 1’s income and the second component isperson 2’s income? Give a payoff function consistent with these preferences