+0  
 
0
49
2
avatar+93 

Find the minimum value of the product \(P(x,y,z)=(2x+3y)(x+3z)(y+2z)\) , when \(xyz=1 \) and \(x,y,z\) are positive real numbers.

 May 10, 2020
 #1
avatar+30046 
+4

Managed to do this graphically using a package called Autograph:

 

 

Looks like the minimum is 48.

 May 10, 2020
 #2
avatar+93 
+1

thank you so much!

littlemixfan  May 12, 2020

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