A seller produces output with a constant marginal cost MC = 2. Suppose there is one group of consumers with the demand curve P₁ = 16 - Q₁, and another with the demand curve P₂ = 10 - (1/2)Q₂.

a) (4 points) If the seller can discriminate between the two markets, what prices would she charge to each group of consumers?b) (4 points) If the seller cannot discriminate, but instead must charge the same price P₁ = P₂ = P to each consumer group, what will be her profit-maximizing price?