A Dealer Decides to Sell an Oil Painting by Means

A dealer decides to sell an oil painting by means of an English auction with a reservation price just slightly below $45,000.If he fails to get his reservation price for the painting, he will burn it.There are two bidders.The dealer believes that there are only three possible values, $90,000, $45,000, and $18,000, that each bidder's willingness to pay might take.Each bidder has a probability of 1/3 of having each of these willingnesses to pay, and the probabilities for each of the two bidders are independent of the other's valuation.Assuming that the two bidders bid rationally and do not collude, the dealer's expected revenue from selling the painting is slightly less than

A) $40,000.
B) $45,000.
C) $18,000.
D) $31,500.
E) $51,000.