3 Parenting Suppose that a mother contemplates how to divide pizza of size 1 between her two children. She may divide it in any way; she may even throw some away. She knows that her son's utility is a, (as) 2 (2%)3135, while her daughter's utility is ad (and) 2 , where :13, and 33,; are non-negative quantities of pizza consumed by her son and her daughter, reSpectively. Of course, :13, + 33,, g 1. 1. Characterize all Pareto efcient allocations. Explain. 2. Derive the Utility Possibility Frontier. This is going to be a function that tells us what utility level the daughter can obtain, for a given level of utility of the son, that is, ad (in). Illustrate graphically. 1The rst number is the number of meals for Romeo, and the second for Juliet. Notice that in this example 20 meals are destroyed