You are one of five bidders participating in an independent private value auction. Each bidder perceives that all other bidders valuations for the item are evenly distributed between $50000 and $80000. For each of the following auction types, determine your optimal bidding strategy if you value the item at $75000.
a) First-price, sealed bid auction,
b) Dutch auction,
c) Second price sealed bid auction,
d) English auction.