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Maximize, interpretation of result.

Started by	Matthias Bode <lvsaba@hotmail.com>
First post	2011-05-09 10:20 +0000
Last post	2011-05-11 08:28 +0000
Articles	2 — 2 participants

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  Maximize, interpretation of result. Matthias Bode <lvsaba@hotmail.com> - 2011-05-09 10:20 +0000
    Re: Maximize, interpretation of result. Peter Pein <petsie@dordos.net> - 2011-05-11 08:28 +0000

#2230 — Maximize, interpretation of result.

From	Matthias Bode <lvsaba@hotmail.com>
Date	2011-05-09 10:20 +0000
Subject	Maximize, interpretation of result.
Message-ID	<iq8f61$5v3$1@smc.vnet.net>

Hola:

>From the help browser:

In[27]:= Maximize[-2*x^2 - 3*x + 5, x]

Out[27]= {49/8, {x -> -(3/4)}}

Check:

In[28]:= -2*x^2 - 3*x + 5 /. x -> -(3/4)

Out[28]= 49/8

Fine!

Now:

In[35]:= Clear[tak, tat]

In[36]:= Maximize[{tat*35 + tak*40, tat + tak <= 500, tak >= tat, tak <= 2*tat}, {tat, tak}, Integers]

Out[36]= {24630, {tat -> 166, tak -> 332}}

Check:

In[30]:= tat*35 + tak*40 /. {tat -> 166,
     tak -> 332}

Out[30]= 19090

How do I have to interpret the "24630"?

Saludos,

MATTHIAS BODE
S 17.35775=B0, W 066.14577=B0
2'740 m
AMSL.

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#2290

From	Peter Pein <petsie@dordos.net>
Date	2011-05-11 08:28 +0000
Message-ID	<iqdhbd$1b5$1@smc.vnet.net>
In reply to	#2230

Am 09.05.2011 12:20, schrieb Matthias Bode:
> Hola:
> 
>>From the help browser:
> 
> In[27]:= Maximize[-2*x^2 - 3*x + 5, x]
> 
> Out[27]= {49/8, {x -> -(3/4)}}
> 
> Check:
> 
> In[28]:= -2*x^2 - 3*x + 5 /. x -> -(3/4)
> 
> Out[28]= 49/8
> 
> Fine!
> 
> Now:
> 
> In[35]:= Clear[tak, tat]
> 
> In[36]:= Maximize[{tat*35 + tak*40, tat + tak <= 500, tak >= tat, tak <= 2*tat}, {tat, tak}, Integers]
> 
> Out[36]= {24630, {tat -> 166, tak -> 332}}
> 
> Check:
> 
> In[30]:= tat*35 + tak*40 /. {tat -> 166,
>      tak -> 332}
> 
> Out[30]= 19090
> 
> How do I have to interpret the "24630"?

and what has 19090 to do with the expected outcome?

> 
> Saludos,
> 
> MATTHIAS BODE
> S 17.35775=B0, W 066.14577=B0
> 2'740 m
> AMSL.

Hi,

really strange is, that the true maximum is given by

NMaximize[{tat*35+tak*40,tat+tak<=500,tak>=tat,tak<=2*tat,
{tak,tat}\[Element]Integers},{tat,tak}]

yielding {19165.,{tat->167,tak->333}}

Peter

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