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ABC Company, a soft-drink vendor, has created a table of payoffs for three stock

ID: 402771 • Letter: A

Question

ABC Company, a soft-drink vendor, has created a table of payoffs for three stocking decisions for three different states of nature:

States of nature (Demand)

Alternatives

Heavy

Medium

Low

$2,060

$1,510

$1,200

$1,390

$1,430

$1,290

$1,560

$1,550

$1,890

Probabilities associated with the states of nature are 0.4 for heavy demand, 0.2 for medium demand, and 0.4 for low demand. What is the expected value with perfect information?  Specify only the amount. e.g. 14000

States of nature (Demand)

Alternatives

Heavy

Medium

Low

Large stock

$2,060

$1,510

$1,200

Average stock

$1,390

$1,430

$1,290

Small stock

$1,560

$1,550

$1,890

Explanation / Answer

Best outcome :- 2060*0.4+ 1550*0.2 +1890*0.4 = 1890
Feom each set :-
1) 2060*0.4 + 1510* 0.2 + 1200*0.4 = 1606
2) 1390*0.4 + 1430*0.2 + 1290*0.4 =1358
3) 1560*0.4 + 1550*0.2 +1890*0.4 = 1690

Expected value of perfect information = 1890-1690