Math Is Fun Forum

I still think it's not a good idea to study math hour after hour-you may get a dizzy head.  Anyway, you just do what is important, in case math matter that much to your career.

Thank you very much, Zhylliolom.

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The last property is called the continuousity of Real Numbers which is unique, some mathematicians have a great trick to prove it, so I suggest you to get a book involving cantor set. Real Analysis perhaps.

The upper bound should be in the set of real numbers, instead of in the sub set.

should the diliver cost be splitted into every item's initial cost?

I guess yes, since it is closely related to the acquisition of the item.

On time measurement I use month as an elementry unit. 300 days is meaningless.

suppose the inventories are sold smoothly everyday. An average item has a quater of month in storage. (a quater is the medium between 0 and 1/2)

Pure price cost monthly:
(500)(8)=4000

delivery cost monthly:
(500/250)(4)=8

inventory aquisition cost yearly:
(12)(4000+8)=32,096

storage lost:
(20%)[(1/4)/12](32,096)=

Add up the above two you'll get the total inventory cost per year.

Suppose every order amount is x

Get the answer for question 1 and the function of total inventory cost by x, then we can go on to question 2 and others.

Is your question well known?

I would rather trust him.  I  derived the principle of Bayesian Statistic by Bayesian theorem once, only to find there were more books published than my textbooks.

Zhyllioliom, you need a Logic book or a Critical Thinking book. And if you are not a firstborn, bonus.

Just recall Cantor was a medival logic studier before he constructed Real Numbers.

Many Thanks

It doesn't matter.
Thank you for your advice. I'll study complex analysis some day.

Can you help me figure out what it is?

I know nothing about zeta functions

OK, my proof is true if all the properties of circular and hypobolic functions are still true when the domains are complex numbers instead of real numbers.

By the way, i(x+iy)=-y+xi

I just post this to explain why sometimes Mathematica will give a result involving i when you assaign only an integration task, and that the coefficient of i is always very small. The reason, I guess, is that it did some circular to hypobolic shifting. And you can just ignore the imaginary part.

I admit the proof was insufficient.

You asked a very complexed question, luca. It involves virtuely every technique in integration.

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