Imagine a simple economy with only two people. Augustus and Livia.
a. Let the social welfare function be
W = UL + UA
Where UL and VA are the utilities of Livia and Augustus, respectively. Graph the social indifference curves. How would you describe the relative importance assigned to their respective well-being?
b. Repeat part a when
W = UL + 2UA
c. Assume that the utility possibility curve is as follows: Graphically show how the optimal solution differs between the welfare functions given in parts a and b.
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