3. A boy wants to set up a newspaper sale in the college cafeteria and has to decide how many to buy. He vaguely estimates the amount he could sell in 15, 20, 25, or 30 newspapers (medium amounts are excluded for simplicity). Therefore, he considers that he will have to buy 15, 20, 25 or 30 newspapers. The sale price of each newspaper is equal to 6 mu, the purchase price is 5 mu, the sale price of the leftover newspapers as scrap paper is 1.5 mu a) Construct the payoff matrix for the newsboy. b) What is the decision if the optimistic criterion is used? And in the pessimistic criterion? c) What is the decision under the Hurwicz criterion? Perform a sensitivity analysis. d} What is the decision under the Laplace criterion? e) What is the decision under Savage's criterion