Stringer Ltd$.$ Management needs to decide regarding the launch of a new product line. The company is considering three options to market the product, advertise nationally, advertise locally, or dont advertise. Management has identified three states of nature $($High Demand, Medium Demand, and Low Demand$)$ for the product and their expected payoff which is shown in the table below. Pay off in Revenues High Demand $(000)$ Medium Demand $(000)$ Low Demand $(000)$ Decision Advertise Nationally $375185-40$ Advertise Locally $325205-10$ Do not Advertise $30022560.$ a$.$Construct the appropriate decision tree to help management make the appropriate decisions. The tree must be constructed in a logical order with labels and net profits. b$.$ What is the most should management should management be willing to pay to obtain further $($perfect$)$ information $($EVPI$)$ concerning the actual demand