Suppose there are 6 risk-neutral bidders who have private values for an object that is being sold in an auction. The private values are independent draws from a uniform distribution on the interval [0, 10]. Tom is one of the 6 bidders and has a value = 8. a) How much should Tom bid in a 2nd price auction? b) What is Tom's Nash equilibrium bid in a 1st price auction? c) At what price should Tom buy the object in a Dutch auction assuming the other bidders play according to the Nash Equilibrium? d) What is the expected revenue of the seller in each of the four auctions? e) How would your answer to parts (a),