Answer the question below and explain your calculations:

The accompanying decision tree is partially completed for a company that is deciding to build a large or small facility for a new product that will face demand that is strong or weak. The company has an option to perform a market survey that will cost $$4,000$ that will predict a strong or weak market. The payoffs for each combination of facility size and demand are also shown. Given the survey will predict a strong market, what is the expected monetary value of building a small facility?