There are 300 houses on the market in Chillville. Of these 300 houses, 21.00% are good quality while 79.00% of them are bad. Buyers value a good house at $500,000 and a bad house at $350,000. Sellers of good houses are willing to sell them for any price over $400,000 while sellers of bad houses need at least $250,000 to agree to a sale. Sellers know the quality of the house, but buyers do not, unless they get an inspection. 1. Now suppose that the inspection requirement is removed. All the inspectors leave town so that buyers are now completely in the dark about the quality of the house they are about to buy. What is the most that a buyer would be willing to pay for a (randomly selected) house?