2. Political Systems, Inc. is a new firm specializing in information services such as surveys and data analysis for individual running for political office. The firm is opening its headquarters in Chicago and is considering three office locations, which differ in cost due to square footage and office equipment requirements. The profit projections shown (in thousands of dollars) for each location were based on both high demand and low demand states of nature. Decision Alternative Location A Location B Location C State of Nature High Demand, Low Demand, 200 -20 120 100 10 60 Initially, management is uncomfortable stating probabilities for the states of nature. Let p denote the probability of the high demand state of nature. What does graphical sensitivity analysis tell management about location preferences? Can any location be dropped from consideration? Why or why not? After further review, management estimated the probability of a high demand at 0.65. Based on the results in part (a), which location should be selected? What is the expected value associated with that decision?