Please help to figure out these two questions. Thanks.

3. In society A, each person 1' = 1, . . . , 71. gets to consume all she produces. In society B, all production is shared equally. Net utility is ufx) cm, where c is the cost to the individual of producing one unit of 3,. In society A, x : mi; in society B, x : [1:1- + (n 1)1B]/ 1'1 Where :IZ_1' is each other person's production. Assume marginal utility is decresing in x. (a) Compare the equilibrium production in! society A and with the symmetric Nash equilib rium production in society B. (b) Which society is more egalitarian? Which society is richer? Explain. 4. Suppose that a society has R rich people and P poor people. The rich are altruistic, so their utility is U,-R = \"(yR P1135) | an(yP + (R 1):}35; + 56,-), and the poor get utility Uz-P 2 1(3)}? + (R ljzj | 13,). In these equation, yp