You are a bidder in an independent private values auction, and you value the object at $5,000. Each bidder perceives that valuations are uniformly distributed between $1,000 and $10,000. 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: $