Kindly solve the following questions

5. Consider two people, Ann and Bob, each of Whom consumes only scoops of ice cream (m1) and cones (:32). Goods 1 and 2 are perfect complements for both Ann and Bob. Ann only likes combinations of 1 scoop and 1 cone, while Bob only likes combinations of 2 scoops and 1 cone. (a) Write out utility functions, u (131,362) and v ($1, 562), that satisfy Ann and Bob's preferences, respectively. Show, by comparing two bun- dles, that v is not a monotone transformation of u. (b) Now consider John, who has very strange preferences over scoops and cones. His utility function is max {$1, 2:2}. Draw some indifference curves that represent these preferences. Consider the following function: f(x1, X2) = Ax1.5+x2 where x, 2 0, X2 2 0, A 2 0, 0 0 and faces prices p, and p2 respectively for goods x1 and X2. i) Derive and describe the demand of the consumer for goods x, and x2. [20 marks]3. True or False? Explain. (a) The utility function given by U(A, B) = (A 3)2 represents pref- erences consistent With the six assumptions about preferences as dis- cussed in class. (b) The utility function given by u(:1:1,:122) = as? | 3:2 represents prefer- ences consistent with the six assumptions about preferences as dis cussed in class