Problem 7 Supposg Cathy had the following values for price, life span, color and brand, where Color, silver is 1.6 times as good as white and red is twice as good as white. Brand, Honda is 1.5 times as good as Ford and Toyota is 2.25 times as good as Ford. Car Life Span (Years) P=Price ($) Color Model L C ' ' P s A6 Ur(A)=0 [8500 Up(A)=1 White Uc(A)=0 |Honda Us(A)=04 B |14 UL(B)=0.8 | 16000 Up(B)=04 |Red . Uc(B)=1 |Ford UpB)=0 16 UL(C)=1 [21000 Up(C)=0 Silver Uc(C)=0.6 | Toyota Us(C)=1 Using the additive utility model and assuming (Weight related to Brand) Kg= 0.20, (weight related to price) Kp = 0.25 and Life Span is twice as important than Brand. a) Find the overall utilities for the three cars? Which car would be chosen and why? b) Suppose Cathy finds another car D with Life Span = \"14 years\