Lagrange’s Multipliers (NLPP with 2 Variables and 1 Equality Constraints) Problem

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  • Опубліковано 4 січ 2025

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  • @twilight7138
    @twilight7138 7 місяців тому +4

    00:02 Discussing Lagrange's Multipliers method with 2 variables and 1 equality constraint.
    01:40 Solving equation subject to equality constraints in Linear Programming Problem
    03:09 Understanding the concept of Lagrange's Multipliers
    05:46 Using Lagrange Multipliers to find total objective function
    07:13 Understanding Lagrange’s Multipliers for NLPP with 2 Variables and 1 Equality Constraint
    09:11 Solving equations using Lagrange Multipliers
    10:24 Finding maximum and minimum in a constrained optimization problem

  • @bootcamp7492
    @bootcamp7492 Рік тому +21

    For Equation like 12X1-lambda
    Use Equation option select 2 option 3 x and =dn
    then put the value carefully
    like x1 =12 , x2 = not given then 0 , x3 = lambda = -1 and dn=0
    sme to all equation
    check second equation it has x2 directly no x1 so x1 is 0

  • @carrycalati3207
    @carrycalati3207 Рік тому +27

    So People who didn't understood the [12x1-lambda] part let me explain you.
    Note : I am using casio 991 calculator.
    Step 1 : press MODE
    Step 2 : press 5 (where Equation is written)
    Step 3 : press option no.2 (anX+bnY+cnZ=dn)
    Step 4 : Now add values of X1,X2,X3
    (Eg. 12x1-lambda=0 will written as
    a:12
    b:0(since x2 value is not mentioned)
    c: -1(lambda value)
    d: 0
    Step 5 : Fill the value as step 4
    Step 6 : after fill all row and column press enter and your answer is there.🎉🎉

  • @mansighanwat5380
    @mansighanwat5380 Рік тому +2

    For that values part refer khumbojkar page 9-10.

    • @26himanshuthakur68
      @26himanshuthakur68 Рік тому

      What is khumbojkar ?
      Please prefer suitable book for preparation 😢

    • @akkinambiar2305
      @akkinambiar2305 Місяць тому

      ​@@26himanshuthakur68
      Kumbojkar is a good book

  • @haymanotdagne1640
    @haymanotdagne1640 Рік тому +1

    Thank you for your great lecture

  • @oshot5373
    @oshot5373 Рік тому +2

    Sir how you get these answer 9:37 plz reply

    • @adityanair5527
      @adityanair5527 Рік тому +3

      You get 12x1-lamba =0
      10x2-5lambda=0
      And x1+5x2=7
      Lambda=12x1
      Lambda =2x2
      So lambda=12x1=2x2
      So x2=6x1
      Can be written as 6x1-x2=0
      Now the third equation which was there i.e x1+5x-7=0
      Becomes x1+5x=7
      6x1-x2=0
      Solve simultaneously on calci and profit

    • @Truth11173
      @Truth11173 Рік тому

      ​@@adityanair5527 could simplify it or just say how to do it in calci

    • @adityanair5527
      @adityanair5527 Рік тому

      @@Truth11173 Google it or use chatgpt and put ur calci model it will print out instructions or atleast similar enough for u to get it

  • @FakharjavedFakharjaved-p1z
    @FakharjavedFakharjaved-p1z 2 дні тому

    When we form Lagrangian then in my book the author is putting plus sign in Lagrangian but here Prof. Using -lamda(g)..so basically tell me that it would create any difference or not?

  • @toormalueth513
    @toormalueth513 Рік тому

    Amazing lecture!!

  • @hazimalkhatib1294
    @hazimalkhatib1294 8 місяців тому +1

    how to solve lambda func on the casio 991EX ??

  • @christelleashuza6997
    @christelleashuza6997 5 місяців тому

    Thank you, sir

  • @harshitmhatre2463
    @harshitmhatre2463 Рік тому +1

    Can we solve these equations in calculator fx-991MS ?

  • @prasantasabar827
    @prasantasabar827 Рік тому +2

    Tomorrow is my optimization engineering exam

  • @MrSubodhdaronde
    @MrSubodhdaronde Рік тому +19

    Sir, I didn't understand anything why we are doing this. This only looks like you mugged this problem and explained to us.

    • @mugunthanvin1331
      @mugunthanvin1331 9 місяців тому +1

      1st u will learn what is theory then come to learn problems

  • @smitakullu6549
    @smitakullu6549 Рік тому

    Thankyou so much sir

  • @apnosesapnotk5809
    @apnosesapnotk5809 7 місяців тому

    Are you sure sir isme x1 x2 and lemda k values shi aarhe h ?

  • @raghavenderreddy5866
    @raghavenderreddy5866 Рік тому +2

    Sir it is
    L=f+lamda*g
    Not ' - '

  • @mumbaikachallenge5526
    @mumbaikachallenge5526 2 роки тому

    Amazing!

    • @RakeshSingh-vl2mz
      @RakeshSingh-vl2mz 2 роки тому

      How to put values in calci to get x1 x2 and lambda?

  • @ALKAIFANSARI-zb3cs
    @ALKAIFANSARI-zb3cs Рік тому +1

    i think lambda = 12 && X1=1 and x2=6

  • @bahady
    @bahady 11 місяців тому

    How to calculate delta

    • @apnosesapnotk5809
      @apnosesapnotk5809 7 місяців тому

      Chhoti classes m pda hoga yad hoto ... Check kro

  • @malikshahmahimi9398
    @malikshahmahimi9398 7 місяців тому +1

    Sir ek din ke liye tumhara dimag dedona bohot zarurat hai 😂

  • @anjalirana3457
    @anjalirana3457 Рік тому

    How to calculate x1,x2,lambda

  • @cse59shubhamsalunke57
    @cse59shubhamsalunke57 2 роки тому +8

    Sir I solve equations through calculator but I got different values

    • @hrushikesh28
      @hrushikesh28 2 роки тому

      Right hai sir kaa

    • @sm1t342
      @sm1t342 2 роки тому +4

      how did you do that in calculator?

    • @AtomAgario
      @AtomAgario 2 роки тому

      @@sm1t342 please reply how to do it on calculator

    • @shreyyy_xd
      @shreyyy_xd 2 роки тому

      @@hrushikesh28 how to solve in calci

    • @hrushikesh28
      @hrushikesh28 2 роки тому

      @@shreyyy_xd easy hai bro

  • @sunilkumarswain3753
    @sunilkumarswain3753 Рік тому

    Sir piz check del ka 1st column

  • @tejaskini4264
    @tejaskini4264 2 роки тому +1

    Thank you so much sirr!!

    • @Ekeeda
      @Ekeeda  2 роки тому

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  • @bidhichandgupta6823
    @bidhichandgupta6823 2 роки тому +2

    Sir, delta is positive then minima and delta is negative then maxima.

    • @abdulrehmaan153
      @abdulrehmaan153 2 роки тому

      How do you know???

    • @LuciferCP11
      @LuciferCP11 2 роки тому +1

      sir did it right
      delta is negative so z is minimum

  • @MayurRanshinge-e4m
    @MayurRanshinge-e4m Рік тому

    X1, X2 and X3 kise aaya samja nhi plz kohi help kardo

  • @johnxina7496
    @johnxina7496 Рік тому

    not all heroes wear capes

  • @apnosesapnotk5809
    @apnosesapnotk5809 7 місяців тому

    Ye 991 nh h 961 hai sir ....

  • @Sanket.Pingle
    @Sanket.Pingle Рік тому +2

    Nice try but don't try again 😞☠️

    • @Eternal_Echoes_3
      @Eternal_Echoes_3 7 місяців тому

      Bhai tuze chodke sbko acche se smja hai Ok

  • @vinayakbhatt1052
    @vinayakbhatt1052 2 роки тому +1

    Sir how to solve this
    Using Lagrange's multipliers, solve the following N.L.P.P.
    1. Optimise z = 4x1 + 6x2-2x12-2X1X2-2x22

  • @apnosesapnotk5809
    @apnosesapnotk5809 7 місяців тому

    I understood all bcz I did try it somewhere else .... U just don't clarify well.... U need to improve

  • @prakharkansal6685
    @prakharkansal6685 Рік тому +1

    TERI WAJAH SE MERE PURA 12 GHANTE KHARAB HO GYA HAI

    • @MrGAMER-rj9ff
      @MrGAMER-rj9ff 7 місяців тому

      gand marane ka liya dekha fir
      galti insan sa hoti ha bhai

  • @AbhishekYadav-or8rb
    @AbhishekYadav-or8rb Рік тому +1

    Values x1, x2and lambda galt hai

    • @Truth11173
      @Truth11173 Рік тому

      Kese nikalte hai calci mese

    • @giridhar8183
      @giridhar8183 Рік тому

      @@Truth11173 same question

    • @aryanvalvi2854
      @aryanvalvi2854 Рік тому

      ​@@Truth11173 calci me tino equation simultaneously solve Karo with unknown value 3

    • @Blastoise20
      @Blastoise20 7 місяців тому

      Values are coming in negative in calcli for but soln is same