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Question 1 1 pts This question addresses the issue of efficient allocation of capital. Assume that there are two separate production functions for men

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Question 1 1 pts This question addresses the issue of efficient allocation of capital. Assume that there are two separate production functions for men an women, but one pool of capital. The total production is Q = Qm + Qw where Qm represents production by men and Q represents production by women. The separate production functions are Qm = f(Km, Lm) = 10L0.5 K0.5 m Qw = f(Kw, Lw) = 20L005 K0.5 W The total available capital is given by K = Km +Kw=10 where Km is the capital allocated to men and K, is the capital allocated to women. Lm = 9 is the number of male laborers, and L = 9 is the number of female laborers. What is the efficient allocation of capital for men? Question 2 1 pts This question addresses the issue of efficient allocation of capital. Assume that there are two separate production functions for men an women, but one pool of capital. The total production is Q = Qm + Qw where Qm represents production by men and Q, represents production by women. The separate production functions are Qm = f(Km, Lm) = 10L0.5 0.5 m Qw = f(Kw, Lw) = 20L0.5K0.5 The total available capital is given by K = Km Kw=10 where Km is the capital allocated to men and Kw is the capital allocated to women. Lm = 9 is the number of male laborers, and L = 9 is the number of female laborers. What is the efficient allocation of capital for women? > Question 3 1 pts This question addresses the issue of efficient allocation of capital. Assume that there are two separate production functions for men an women, but one pool of capital. The total production is Q = Qm +Qw where Qm represents production by men and Qw represents production by women. The separate production functions are Qm = f(Km, Lm) = 10L0.5K0.5 m Qw = f(Kw, Lw) = 20L0.5 K0.5 The total available capital is given by K = Km +Kw=10 where Km is the capital allocated to men and K, is the capital allocated to women. Lm = 9 is the number of male laborers, and L = 9 is the number of female laborers. What is the total quantity produced with the efficient allocations of capital? (round to two decimal places) > Question 4 1 pts This question addresses the issue of efficient allocation of capital. Assume that there are two separate production functions for men an women, but one pool of capital. The total production is Q = Qm + Qw where Qm represents production by men and Qw represents production by women. The separate production functions are Qm f(Km, Lm) = 10L0.5 0.5 = m m Qw = f(Kw, Lw) = 20L0.5 K0.5 The total available capital is given by K = Km + Kw=10 where Km is the capital allocated to men and K, is the capital allocated to women. Lm = 9 is the number of male laborers, and L = 9 is the number of female laborers. If capital is allocated so that men have 6 units (K = 6) and women have 4 units (K = 4), what is the total quantity produced? (round to two decimal places) > Question 8 3 pts This question follows the framework of our model of domestic violence. In the lecture, we assumed that the man was the breadwinner and the perpetrator of domestic violence. In this question, let's assume instead that the woman is the breadwinner and the perpetrator of domestic violence. Let the man's utility be Um = 2(s t), where s is the level of safety and t is the level of the transfer. Let the woman's utility be Uw = 2(v c), where v = (1 s) is the level of violence and c = (1 t) is the woman's consumption. Let the man's threat point be = 0.5. We also have the condition that the MRS must be equal: JU = Um De aum 88 1 JU In the solution that is reached through bargaining, what is the value of s? What is the value of t? What is the value of v? What is the value of c? What is the value of the man's utility, Um? What is the value of the woman's utility, U?

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