Question 1 True, False, or Uncertain? Justify your answers. (a) (4 marks) "Taller than" is a binary relation that is complete and transitive. (b) (4 marks) Suppose there are 3 bundles in a consumption set: bundles A, B, and C. Assume that A _ B, B _ A, C _ B, and A _ C. This information is sufficient to establish that > is complete. (c) (4 marks) Suppose there are 3 bundles in a consumption set: bundles A, B, and C. Assume that A _ B, B _ A, C _ B, and A _ C. This information is sufficient to establish that ~ is transitive. (d) (4 marks) An indifference curve cannot be thick. (e) (4 marks) For a 2-good world, a utility-maximising consumer with a monotone pref- erence who faces a budget constraint must choose the optimal bundle in which MU1 PI MU2 and M = PIX1+ P2X2where MU, and MU2 are the marginal utilities for good 1 and good 2 respectively. Pi and P2 are the prices for good 1 and good 2 respectively. X1 and X2 are the quantities for good 1 and good 2 respectively. M is the consumer's budget