SELF test The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: O State of Nature Decision Alternative $1 d d 10 4 513 $2 a. Use graphical sensitivity analysis to determine the range of probabilities of state of nature S for which each of the decision alternatives has the largest expected value. b. Suppose P(s) = 0.2 and P(s2) = 0.8. What is the best decision using the expected value approach? C. Perform sensitivity analysis on the payoffs for decision alternative d. Assume the probabilities are as given in part (b), and find the range of payoffs under states of nature S and that will keep the solution found in part (b) optimal. Is the solution more sensitive to the payoff under state of nature s, or s? $2 +