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Payoff table V6 - 50 Stock action Demand 0 1 (event) 4 3 5 0 0 100 200 - 300 - 400 - 500 1 0 150 50 - 150 - 250 2 0 150 300 200 100 0 3 0 150 300 450 350 250 4 150 300 450 600 500 5 0 150 300 450 600 750 Average 0 108.33 175 200 183.33 125 TABLE 9.35 Regret table Demand Stock action (event) 0 1 3 + 5 3 0 0 100 200 300 400 500 1 150 0 100 200 300 400 2 300 150 0 100 200 300 3 450 300 150 0 100 200 4 600 450 300 150 0 100 750 600 450 300 150 0 Average (3) 266.67 200 175 191.67 250 Tables 9.34 and 9.35 suggest an optimum stock level of 3 discontinued bicycles. This stock action results in the highest average pay-off of 200 or the lowest average regret of 175. EXAMPLE 9.8-3 A TT dealer finds that the cost of a tl' in stock for a week is 30 and the cost of a unit shortage is 70. For one particular model of Tt' the probability distribution of weekly sales is as follows: Weekly sales 0 1 2 3 4 5 6 Probability 0.10 0.10 0.20 0.25 0.15 0.15 0.05 How many units per week should the dealer order? Also find EI PI. [P.T.U.M. Tech. Dec. 2011; U.P.U. MBA, 2009; M.D.U. Rohtak B.E. (Mech.) Dec., 2006] 375