Question: A company sets an auction for N objects. Bidders place their bids for some subsets of the N objects that they like. The auction

A company sets an auction for N objects. Bidders place their bids for some subsets of the N objects that they like. The auction house has received n bids, namely bids bj for subset Sj, for j = 1,...,n. The auction house is faced with the problem of choosing the winning bids so that profit is maximized and each of the N objects is given to at most one bidder. Formulate the optimization problem faced by the auction house as an integer programming problem.

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