A manufacturing company is considering expanding its production capacity to meet a growing demand for its product line of air fresheners. The alternatives are to build a new plant, expand the old plant, or do nothing. The marketing department estimates a 35 percent probability (prior probability) of a market upturn, a 40 percent probability of a stable market, and a 25 percent probability of a market downturn. Georgia Swain, the firm's capital appropriations analyst, estimates the following annual returns for these alternatives: Market Upturn Stable Market Market Downturn Build new plant $690,000 -$130,000 -$150,000 Expand old plant $490,000 -$45,000 -$65,000 Do nothing $50,000 0 -$20,000 a. Use the maxi-max and max-min criterion to determine which alternative should be chosen b. Use a decision tree analysis to analyze these decision alternatives. c. Which option should be chosen in this case