2. The Lamberts family have three children: Macy, Theodore, and Jane. Each of them has different attitude towards money. In particular, Macy's utility function is U(x)=6+0.5x and Theodore's utility function is U(x) = 5vx . Unfortunately, we don't know Jane, the youngest kid's utility function yet. a. Given their utility functions, what are Macy and Theodore's u-values if they can get each of the following monetary payoffs for sure (fill your answers in the table)? Dollar Value ($) Macy's u-value Theodore's u-value 0. 00 O 26 10 15.81 20 1 6 22.36 30 21 27,39 40 26 31. 62 50 31 35. 36 60 36 70 38. 73 41 80 411.83 46 44.72 90 51 47. 43 100 56 50.00Among the two deals (A and B), what is the best deal for Macy, Iheodorg and Jane, respectively? up any deal they chose above (let's call it Deal C). Who among them should walk away with $23? . Draw a decision tree which characterizes the decision situations Macy was facing (see Figure 10.15/pg. 208 in the textbook for reference). Instructions: Boxes represent decision alternatives (i.e., Deal A, Deal B, and Deal C) Ovals/circles represent each state of nature for each deal. Record probabilities, payoffs, and uvalue for each branch of the tree. Record uvalue and certain equivalents for each deal (note that CE for Deal C is $23)