2. Consider a seller who faces two groups of'consumers. The first group is summarized by the demand function 01 [p] 2 1'3!) p. The second group is summarized by szp] 2 El] P. The cost to the selleris SEQ] : 231:}. {a} Find the optimal prices if different prices can be charged to each group [3":1 degree price discrimination). (b) Find the optimal price if the same price must he charged to both groups. {C} Which groups benet from price discrimination