Suppose that there are n firms in a market, labeled i = 1, ..., n, with no fixed costs and marginal costs (mc) as described in the three cases below. They are willing to supply up to one unit of a good at their marginal cost. For each case, provide a (qualitative) graph of the aggregate supply curve.

1. (6 points) Case 1: mc_i = 1 for i = 1,...,n
2. (6points)Case2: mc_i =1 (i/n) for i=1,...,n
3. (6 points) Case 3: mc_i = 1 + aq_i² for i = 1, ..., n, where qi is the quantity that they produce and a > 0.
4. (6 points) Is there a concept analogous to consumer surplus that we could define here? Explain.