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Norrington Airport has begun to take in regional jet flights, and needs to expand its air traffic control facilities. It has received three proposals from different agencies for how it can proceed to modernize its facilities. Plan A will cost the airport a total of $325,200 at present capacity, but if the airport traffic increases by at least 160% it will actually net the airport $34,040. Plan B will cost the airport a total of only $126,000 at present capacity, and if the airport traffic increases by at least 160% the airport will make $65,700. Plan C will cost the airport only $96,000 to implement, but if the airport traffic increases by at least 160% the system will be over capacity and the airport will make only $12,800. According to present levels of demand, the chance that airport traffic will increase at least 160% once the new system is put into place is estimated at 72%. Create a payoff table and a decision tree for this situation. Calculate the best options using maximax, maximin, and equal likelihood criteria (ignoring the probabilities), and then calculate the expected value for each situation. Which choice should the airport make?
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