2 (10 points ). Preference relations 1 rational (strict ) preference relation . Assume that z >- y and y z x. Prove that it follows that z > x. 3 (15 points ). Menu Dependence :5 points )Assume that consumers evaluate new cars on two features :Number of Cupholdem (C), and Sexiness of design (S). Ford offers the following line -up of models : Ford Escape :C = 3, S = 4 Ford Explorer : C = 4, S = 2 Ford Mustang : C = 1, S = 10 Which car is likely to be the most protable for Ford to sell? Why ? :5 points )Assume that consumers evaluate new cars on two features :Number of Cupholdem (C), and Sexiness of design (S), Chevy offers the following line up of models : Chevy Camaro :C=1,S=8 :hevy Tahoe: C = 8, S = 2 Chevy Corvette : C = 1, S = 9 Which car is likely to be the most profitable for Chevy to sell? Why