2. [This question describes a class of preferences that combine aspects of perfect complements and perfect substitutes] Suppose um) = min{o:r1 +5313. 73:1 +$2}. for some parameters 0:, B, 7', 6 > 0. Assume that g > g. (a) Will this consumer will spend all their money (i.e. choose 13* so that p - :r.* = m)? 1ill-"'hy or why not? (b) If 1:? > 0 and I; > 0T what is at\"? In this case3 what is u(3:*)? (c) Name an example for (0:. )3. "f. 5.191. p2. m) such that the consumer will only buy good 1. Justify your answer. ((1) Name an example for (a. 13. \"y, 5. p1. p2. m) such that the consumer will only buy good 2. Justify your answer. (e) Name an example for (or, ,8. 1r, 6. p1, p2. m) such that the consumer will buy both goods. Justify your