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June 06, 2024, 07:29:54 am

Author Topic: Find this expression?  (Read 754 times)  Share 

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TrueTears

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Find this expression?
« on: July 24, 2009, 11:04:37 pm »
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A newspaper seller buys papers for 50 c and sells them for 75 c and can not return unsold papers. If the newspaper seller stocks too many papers a loss is incurred. If too few papers are stocked potential proft is lost because of the excess demand. Let s represent the number of newspapers stocked. Let x represent the number of papers sold. If P is the profit for the seller for a particular stock level s find an expression for P in terms of s and x.
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dcc

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Re: Find this expression?
« Reply #1 on: July 24, 2009, 11:19:55 pm »
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The last sentence of your post seems to suggest the following (confusing) wording:

Find in terms of and , where is the proft for the seller for a particular stock level and is the number of newspapers sold.

I'm going to guess: .  That is, the profit for the seller will the amount received for each paper that they do sell minus the cost of stocking papers.  Obviously, .

zzdfa

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Re: Find this expression?
« Reply #2 on: July 24, 2009, 11:27:19 pm »
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i think they want you to write this

TrueTears

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Re: Find this expression?
« Reply #3 on: July 24, 2009, 11:27:27 pm »
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Hmmm book has some hybrid function which I don't think is right...

it's got 0.5s - 0.25x for x>s   =S???

How? Not possible? How can x be larger than s?? I think typo in book..
« Last Edit: July 24, 2009, 11:29:41 pm by TrueTears »
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dcc

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Re: Find this expression?
« Reply #4 on: July 24, 2009, 11:29:54 pm »
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The physical impossibility of selling more newspapers then you stock means the answer is obviously incorrect :)

TrueTears

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Re: Find this expression?
« Reply #5 on: July 24, 2009, 11:44:36 pm »
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Ok thank you.
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.