the following example states " in a concert theatre with uncertain audience of 300 400 and 500 people with associated probabilities of 0.50, 0.30 and 0.20, price per ticket is 25 per person.
Additional contribution is to be earned from customers at the level of 3, 5 and 10 with corresponding p of 0.3. 0.5 and 0.20. Fixed fee for the concerts is 10.000.
the table of profits is as follows:
fee Demand
300 400 500
3 (1600) 1200 4000
5 (1000) 1200 4000
10 500 4000 7500
What is the value of perfect info. In the answer it says 490 as it is the value of loss multiplied by joint probabilities. I thought it was zero, as without perfect info
highest ev corresponds to contribution of 10 and is 590. The same would be with perfect info. under each demand column, as demand would be predicted we could choose
for 300 demand return of 500, for 400 demand return of 4000 and for 500 demand return of 7500, the ev would be the same 590. If perfect info does not change the value of decision, it s value is zero.
Thanks.
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value of perfect information
Firstly the question as you have typed it makes no sense at all.
If the audience is 300 and the contribution is $3, then the profit is (300 x 3) - 10,000 = (9,100).
Either you have not typed the whole question correctly, or the question itself is wrong.
Secondly, the value of perfect information in this sort of question will never be zero. Because you have the benefit of knowing in advance what the outcome will be, you can make the best decision in each case.
To understand the last bit you need to watch the free lecture on perfect information.
Sorry for that, the price per ticket is 25 per person, this is added to the contribution of 3 per person.
Thanks.
I am sorry but I can't spare the time to provide a full solution to the question - I would assume it is provided in full in the book in which you found the question.
However as I wrote before, the value of perfect information will never be zero and I again do suggest that you watch the free lecture on this, which explains how to calculate it.
thanks for that, but what is the value of perfect information, if perfect information does not change the decision?
Thanks.
It always will change the decision - again you need to watch the lecture in order to understand why.
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