You are a bidder in an independent private values auction, and you value the object at $3,500. Each bidder perceives that valuations are uniformly distributed between $2,000 and $8,000. Determine your optimal bidding strategy in a first-price, sealed-bid auction when the total number of bidders (including you) is:

a. 2 bidders.

Bid: $_______

b. 10 bidders.

Bid: $________

c. 100 bidders.

Bid: $______