Problem 2 (7 points) Consider a modified version of the Gary Becker-style micro model of fertility choices, in which both men and women have child-care responsibilities. Suppose that the man in the household has Tm hours of time to devote to market work and/or child care, and that he must contribute Cm hours per child in care time. His wage in market work is Wm. The woman has Ty hours available for market work and/or child care; she must contribute Cy hours per child in child care. Her wage is Ww. The household has no other sources of income. In addition to parental time, each child requires p in goods such as food and clothing. The household's utility function is U = N x1-, with a being a preference parameter such that 0