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# En un cartel rectangular los margenes superior e inferior mi

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## Erick Salas

on 23 November 2013

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#### Transcript of En un cartel rectangular los margenes superior e inferior mi

En un cartel rectangular los margenes superior e inferior miden 6 cm cada uno y los laterales, 4 cm. Si el área de material impreso se fija en 384 cm2, ¿Cuales son las dimensiones del cartel de área mínima?
Función objetiva:
Min. Ac(x,y)=(x+8)(y+12)
4-.1-256/x2=0

1=256/x2

x2=256

x=16 x=-16

y=384/16=24
Restricciones:
Ai(x,y)= xy= 384
1-. y=384/x

2-. Ac(x)= (x+8)(384/x+2)
Ac(x)=12(40+x+256/x)

3-. Ac'(x)=12(1-256/x2)

5-. A''=256(2)/x2 > 0
(16+8) = 24
(24+12)= 36
Procedimiento:
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