Lagrange Multipliers Maximize f(x,y) = 2x + 2xy + y subject to 2x + y = 100

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Lagrange Multipliers Maximize f(x,y) = 2x + 2xy + y subject to 2x + y = 100
  1. The Math Sorcerer
  2. Lagrange Multipliers Maximize f(x
  3. y) = 2x 2xy y subject to 2x y = 100
  4. lagrange
  5. multipliers
  6. minimize
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Комментарии
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Showed this to a Thermal and Statistical Physics student today so they could understand an entropy problem and it was extremely helpful to them!

cosmicgaussian
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Omg you dont know but you did all my homework, love you <3

santiagoreyes
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In a CS program, rn and optimization is killing me. But your video is very well explained!

yz_codes
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Great video; I really need/want to practice Lagrange multipliers

duckymomo
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Thanks man you have cleared my concept!

s.a.k.
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Hello I think it’s 2600
Now my method: suppose a+b=n we want max(ab) suppose a=n/2 +R And b=n/2 - R and R is any real number it can even be negative now the multiplication gives us n^2/4 - R^2 now we know that R^2 is greater than or equal to 0 for any real number so -( R^2 ) is gonna be less than or equal to 0 so the best case is when R=0 and the maximum becomes n^2/4 now 2x+y=100 plug in a=2x b=y then we have : a+b=100 we want max ab notice it’s gonna be 2500 and add 100 because of +2x+y so it’s 2600 final answer !

rssl
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How do you know if you’re maximizing or minimizing?

itsleomarx
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Helpful video, I want to ask what happens if the 2x in the maximization function was 2x squared

chakombaphirijr
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Thank you so much, quite helpful! But just confused about sth: many videos talk about gradient to be perpendicular to the contoure line sth like that, I don't understand that well. Any details?

zamanmakan
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GREETINGS SIR! THE VIDEO IS GOOD! PLEASE WHICH TEXTBOOK ARE YOU USING?

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