Q3. Nike has market power in the running shoe market and has identified two groups of potential customers for Nike running shoes, avid runners (A) and bargain seekers (B). Separately, the demand for these groups are as follows: 9A = 2-0.5PA 9B = 1 - PB Note that quantity demanded can't be negative. For simplicity, assume zero costs. Initially, Nike is only able to sell both groups one type of shoe for a single price (p). a. Find the combined demand curve. (Remember, quantity demanded can't be negative, so there will be a "kink" in the curve where the bargain hunters buy zero shoes.) b. Find the optimal price and quantity {q,p} given Nike can only set a single price. (Remember, there are two ways Nike might maximize profits due to the kink in the demand curve.)