A STOCKIST WISHES TO OPTIMIZE THE NUMBER OF PERISHABLE ITEMS HE NE...

69. A stockist wishes to optimize the number of perishable items he needs to stock in

any month in his store. The demand distribution for this perishable item is:

Demand (in units) 2 3 4 5

Probability 0.10 0.35 0.35 0.20

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The stockist pays Rs.70 for each item and he sells each at Rs.90. if the stock is

left unsold in any month, he can sell the item at Rs.50 each. There is no penalty

for unfulfilled demand. To maximize the expected profit, the optimal stock level

is:

(A) 5 units

(B) 4 units

(C) 3 units

(D) 2 units