2. The seller has one item to sell. The seller has zero value on the item. There are two bidders whose values are drawn from F1 ~ U [0, 20] and F2 ~ U [10, 30]. (a) Find an optimal mechanism with bidder 1 only (i.e., one bidder) and the expected revenue. (b) Find an optimal mechanism with bidder 2 only and the expected revenue. (c) Find an optimal reserve price for the second-price auction (i.e., there exists only one reserve price) with bidders 1 and 2, and calculate the expected revenue. (d) Calculate the expected revenue of the optimal mechanism. That is, redo hw3 Q1(b) with choosing the expection of either MR or payment