A homeowner has asked a local real estate agent for advice on the price he should set for his house. The real estate agent notes that the only comparable house in the neighborhood that is currently for sale is asking $350,000. Both houses are on a hill that overlooks a beautiful lake, but the owner’s house is forty feet farther up the hill than the comparable house. The agent estimates that, in this area, customers will pay an additional $10,000 for a house for each ten added feet of elevation associated with the house’s location. The owner’s house has an old, outdated kitchen, but the sellers of the comparable house have just spent $24,000 to remodel their kitchen.
What is the selling price that the real estate agent should recommend?