3. a) Define what is meant by a monotonic transformation of some consumer's utility function: u (1, 12). b) Suppose u ($1, 12) = 371 + 212. Sketch indifference curves for this consumer corresponding to utility levels 10, 20 and 30. c) Suppose u (21, 12) = 11 + 12. Sketch indifference curves for this consumers corresponding to utility levels 10, 20 and 30. d) Can these two utility functions be said to describe the same preferences: Is the function in b) a monotonic transformation of the function in c). Explain. (25 pts)