There is a sushi restaurant in a shopping mall. The owner of the restaurant is deciding whether to prepare Small (S), Medium (M) and Large (L) amount of fresh Toro (fatty tuna) in the morning of each business day. On a particular day, S, M, L supply of Toro, costing $2,400, $4,100 and $5,700, are enough for serving 30, 50, 70 customer orders respectively. Based on past experience, the probability of the having 30, 50 and 70 customer orders of Toro a day are 0.3, 0.5 and 0.2 respectively. Each customer order of Toro generates revenue of $200 to the restaurant. If the demand exceeds the supply, rejection of customer order will result in a loss of $50 due to ill will. If the supply exceeds the demand, the leftover Toro would be disposed in the evening to keep the food quality of the restaurant. (Keep your numerical answers exact or rounded to 4 decimal places.) (a) (b) Construct a payoff table of this problem of Decision Analysis. By working out the Expected Monetary Value (EMV) of each preparaton alternative, determine the optimal preparation amounts (S, or M, or L) Compute the Expected value with perfect information (EPPI) and the Expected value of perfect information (EVPI). (c) The owner hires an experienced manager who would encourage or discourage to increase the ordering of Toro with the probabilities of: P(Encourage | 30 orders) = 0.1 P(Encourage | 50 orders) = 0.4 P(Encourage | 70 orders) = 0.85 = (d) (e) Find the probability of resulting in an Encourage of ordering of Toro. Determine the Expected Value of Sample Information (EVSI), the Expected value with sample information (EPSI), and the Expected value of sample information (EVSI).