Question: Question 2 {3 marks} A merchant stocks a certain perishable item. [In any given day he will have a demand of 25E], 350, or 45D

 Question 2 {3" marks} A merchant stocks a certain perishable item.

Question 2 {3" marks} A merchant stocks a certain perishable item. [In any given day he will have a demand of 25E], 350, or 45D for these items with probabilities [L2, 0.4. and {1.11, respectively. He buys the items for 5121] each and sells them for 52!]1] each. If any are left at the end of the day, they are scrapped. {a} Determine how many items. 25E), 350, or 4150, should the merchant stock so as to maximize his expected daily prot. [5 marks] [b] Find the variance of daily profit for the number of items determined in {a}. [2 marks]

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