Problem 13-08 (Algorithmic) The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative Si 9 7 52 d: dz 10 3 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. If required, round your answers to two decimal places. dis optimal for probability of S 1 dz is optimal for probability of 5 1 b. Suppose P(5.) - 0.25 and PS2) - 0.75. What is the best decision using the expected value approach? Best decision c. Perform sensitivity analysis on the payoffs for decision alternative ds. Assume the probabilities are as given in part (b), and find the range of payoffs under states of nature S, and S, that will keep the solution found in part (b) optimal. The input in the box below will not be graded, but may be reviewed and considered by your instructor. Problem 13-08 (Algorithmic) The following payoff table shows the profit for a decision problem with two states of nature and two decision alternatives: State of Nature Decision Alternative Si 9 7 52 d: dz 10 3 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. If required, round your answers to two decimal places. dis optimal for probability of S 1 dz is optimal for probability of 5 1 b. Suppose P(5.) - 0.25 and PS2) - 0.75. What is the best decision using the expected value approach? Best decision c. Perform sensitivity analysis on the payoffs for decision alternative ds. Assume the probabilities are as given in part (b), and find the range of payoffs under states of nature S, and S, that will keep the solution found in part (b) optimal. The input in the box below will not be graded, but may be reviewed and considered by your instructor