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Problem 1: Maria Rojas is considering the possibility of opening a small dress shop on Fairbanks Avenue, a few blocks from the university. She has located a good mall that attracts students. Her options are to open a small shop, a medium-sized shop, or no shop at all. The market for a dress shop can be good, average, or bad. The probabilities for these three possibilities are 0.2 for a good market, 0.5 for an average market, and 0.3 for a bad market. The net profit or loss for the medium-sized and small shops for the various market conditions are given in the following table. Building no shop at all yields no loss and no gain. Alternative Small shop Medium-sized shop No shop Good Market ($) 75,000 100,000 0 State of Nature Average Market ($) 25,000 35,000 0 Bad Market ($) -40,000 -60,000 0 a. What do you recommend? b. Calculate the EVPI. c. Develop the opportunity loss table for this situation. What decisions would be made using the minimax regret criterion and the minimum EOL criterion