Solution of LPP using Simplex Method (maximization problem)

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  • Опубликовано: 20 фев 2020
  • In this video detail explanation is given for each steps of simplex method to solve maximization type LPP. Also comparison of graphical method and simplex method is given in this video by Keshav Jadhav.

Комментарии • 115

  • @herodmoonga4799
    @herodmoonga4799 25 дней назад +1

    Only you, else I never understood simplex method, you have saved me

  • @eren_1oglu
    @eren_1oglu 7 месяцев назад +2

    This is the only understandable video about the simplex method. Thank you for your efforts!

  • @smileumeshful
    @smileumeshful 2 года назад +4

    Proud of you Keshav sir. You are making an impact

  • @poojamishra7718
    @poojamishra7718 3 года назад +13

    Thank you so much sir for this amazing explanation with amazing teaching techniques and method. 😊🙏

  • @nargesmashhadinejad1362
    @nargesmashhadinejad1362 2 года назад +5

    I love this video. Thanks a lot for explaining it so clearly.

  • @arnavanuj
    @arnavanuj 3 года назад +6

    Best explanation. Thank you very very very much sir. Finally I'm able to understand it. Many many thanks Sir🙏🙏🙏

    • @KeshavJadhav
      @KeshavJadhav  3 года назад +2

      Thank you for your comment.
      Following are my few relevant video, please share with your student friends:
      (1) Introduction and Principle of optimality:
      ruclips.net/video/2VOQkgYpM_A/видео.html
      (2) Cargo loading problem:
      ruclips.net/video/C2vYcnOqJUQ/видео.html
      (3) Employment smoothening problem:
      ruclips.net/video/y_aHOV_0MfE/видео.html
      (4) Linear Programing
      Problem(LPP): Formulation of
      LPP
      ruclips.net/video/dAhiPu3mY9c/видео.html
      (5) Linear Programing
      Problem(LPP):
      Formulation of LPP numerical-2
      ruclips.net/video/-mjghpHsNxk/видео.html
      (6) Linear Programing
      Problem(LPP): Graphical
      Method to Solve LPP
      Graphical Method to Solve LPP:
      ruclips.net/video/vCrtM-Xkd-g/видео.html
      (7) Linear Programing
      Problem(LPP): Graphical
      Method to Solve LPP
      Graphical Method to Solve LPP:
      ruclips.net/video/3LVj17utVVI/видео.html
      (8) Linear Programing
      Problem(LPP): Simplex
      Method
      Simplex method to solve LPP:
      ruclips.net/video/S1s6sWtoetg/видео.html
      (9) Linear Programing
      Problem(LPP): Simplex
      Method
      Big M Method to solve LPP,
      ruclips.net/video/S1a9aJsJX7k/видео.html
      (10) Linear Programing
      Problem(LPP): Simplex
      Method
      Flowchart of Simplex Algorithm:
      ruclips.net/video/vlub2Y6zo-o/видео.html
      (11) Linear Programing
      Problem(LPP): Degeneracy
      case in LPP:
      ruclips.net/video/Gzx-Qv16-lE/видео.html

    • @arnavanuj
      @arnavanuj 3 года назад +2

      @@KeshavJadhav sure Sir, the content is created with lots of effort...

  • @betweener2313
    @betweener2313 3 года назад +4

    the best on web. thank you man God bless you...

  • @sajadmir9492
    @sajadmir9492 2 года назад +3

    thank you sir for such a nice demonstration of the simplex method

  • @injeolmi6
    @injeolmi6 2 года назад +4

    Thank you very much. I learned a lot with you.

  • @syedshadab3178
    @syedshadab3178 3 года назад +6

    I found the video to be very informative. Thanks! I really do appreciate the efforts.

  • @gauravranjan5747
    @gauravranjan5747 2 года назад +4

    Very well covered.....thanks 👏

  • @badmusidowu379
    @badmusidowu379 3 года назад +3

    Thanks for the fantastic explanation

  • @Maki-mh2oz
    @Maki-mh2oz 2 года назад +1

    thank you so much for the clear explanation

  • @nishasworld9042
    @nishasworld9042 3 года назад +3

    Thank sir to give explation for this method

  • @komalpreetkaur5055
    @komalpreetkaur5055 2 года назад +3

    Best explanation

  • @mithusblog6787
    @mithusblog6787 3 года назад +2

    Nicely explained 👍

  • @chinesecultureinessence1534
    @chinesecultureinessence1534 6 месяцев назад

    Thanks a lot, I really need it! :)

  • @AnilKumar-xh7vl
    @AnilKumar-xh7vl 3 года назад +15

    sir you are really super sir. due to the pandamic situations of covid we are not able to understand the online classes, but you really explained a lot sir.. thank u sooooooo much sir

  • @AnjaliSingh-kv3vl
    @AnjaliSingh-kv3vl 3 года назад +2

    Very well explained

  • @hamshihamsu5461
    @hamshihamsu5461 2 года назад +2

    Thank you very much sir

  • @lakaderohidas1829
    @lakaderohidas1829 2 года назад +2

    So nicely lecture

  • @MrMillionmekonnen1
    @MrMillionmekonnen1 3 года назад +2

    Thanks very much Sir it is delivered in the possible best way. But poor sound is there.

  • @pallavimahadik6533
    @pallavimahadik6533 3 года назад +4

    excellent sir. Very nicely explained

  • @JVARSHINI-vx8ww
    @JVARSHINI-vx8ww 3 года назад +2

    Thanks a lot Sir 😊

  • @snillochemingson2830
    @snillochemingson2830 3 года назад +1

    Greatest video ever

  • @bagurusubscribemadu4673
    @bagurusubscribemadu4673 3 года назад +2

    Thank you Sir.

  • @user-xw2pt4le3b
    @user-xw2pt4le3b 2 года назад +2

    thank you very much.

  • @shristysaumya2047
    @shristysaumya2047 3 года назад +2

    Thank you sir .

  • @rishantsrivastava7892
    @rishantsrivastava7892 3 года назад +3

    Thank u sir...

  • @gaikoahgatwech186
    @gaikoahgatwech186 6 месяцев назад

    thank you so much sir🙏

  • @suchetahegde2709
    @suchetahegde2709 3 года назад +2

    Very nicely explained. 🙏🙏

  • @Dhanadi2001
    @Dhanadi2001 7 месяцев назад +1

    Thank u sir❤

  • @pbotharaj
    @pbotharaj Год назад +2

    Excellent video. Great explanation.

  • @MurtiiBoneyaDanbala
    @MurtiiBoneyaDanbala Год назад +1

    good !!

  • @halikarclassesdegloor2659
    @halikarclassesdegloor2659 Год назад +1

    Very good sir

  • @chemedajoresa7060
    @chemedajoresa7060 10 месяцев назад

    thank you

  • @MinewerHussen-nx1hx
    @MinewerHussen-nx1hx 9 месяцев назад +1

    THANK'S

  • @ashwiniawale6225
    @ashwiniawale6225 3 года назад +2

    👍🏻👍🏻

  • @norvyannebernal23
    @norvyannebernal23 2 года назад +1

    Hi, I just want to ask, what if the S1 has the lowest value, thus, it is the outgoing variable that is replaced by variable x as the incoming variable, how is that? The next table would be change? Since S1 has the lowest value? Or we stick to the step where in S2 is the outgoing variable that will replaced by variable x as the incoming variable?
    I hope you answer me, I badly needed to know, you're the only one explanation I've Understood easily 😭

    • @KeshavJadhav
      @KeshavJadhav  2 года назад +1

      To decide outgoing variable, we need to calculate ratio column= b/key column.
      I am sure if you once again watch this video till end, then you will clearly understand the steps.

  • @meganjones8511
    @meganjones8511 3 года назад +3

    when creating the new row 2 in the final tableau, instead of your formula R2=R2-0.5xR1, i multiplied the old row 2 by 2 and then minused the new row 1. (meaning my values were all double yours). I have not got the same final results and it indicates that s1 variable is still profitable (which is obviously isn't). Is there therefore a correct and incorrect way to formulate new rows? Plzzz help as exam is next week :))))

    • @KeshavJadhav
      @KeshavJadhav  3 года назад +3

      Dear Megan Jones,
      Basically we need to write operation to convert other elements in key column onto zero (0.5 in R2). So, correct operation can be R2=R2-0.5R1.
      In your operation our basic objective behind writing operation is not fulfilled.

  • @sariksidram6375
    @sariksidram6375 2 года назад +1

    Tq sir

  • @vivekkumar-py6kp
    @vivekkumar-py6kp 8 месяцев назад +1

    Thanks

  • @somsekhararaofacultymechan5806
    @somsekhararaofacultymechan5806 3 года назад +2

    good

  • @sindhujashukla8690
    @sindhujashukla8690 3 года назад +2

    Very nice video

    • @symoh01
      @symoh01 3 года назад +1

      Thank you sir for such wonderful explanation.
      I request that you do another one with three constraints

  • @kalabamulenga3226
    @kalabamulenga3226 3 года назад +1

    How do you come up with the R1= 2× R1 and the other others because there different on all the tables being created

    • @KeshavJadhav
      @KeshavJadhav  3 года назад +1

      It is as per requirement, basically we have to make zero all other elements in the key column(different than key row)

  • @Brigadier819
    @Brigadier819 2 года назад +1

    Representing Swahili Nation Universty🇹🇿🇹🇿🇹🇿

  • @shivaakuei3247
    @shivaakuei3247 8 месяцев назад

    Solve the following Linear Programming problem using the Dual Simplex methods.
    Max XO = 4x1+x2
    S.t 3x1+ x2=3
    4x1+3x2 ≥6
    x1+2x2 ≤3

  • @abdijeylan8290
    @abdijeylan8290 Год назад +1

    Nice

  • @teshalearega
    @teshalearega Год назад

    5. A merchant plans to sell two types of personal computers - a desktop model and a portable model that will cost Birr 25000 and Birr 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant should stock to get maximum profit if he does not want to invest more than Birr 70 lakhs and if his profit on the desktop model is Birr 4500 and on portable model is Birr 5000. (Find optimal Solution by simplex Model)

  • @malshi7820
    @malshi7820 3 года назад +1

    Sir I have inventory level problem can you give the answer

  • @govardhansonu3749
    @govardhansonu3749 10 месяцев назад

    Can you do simplex maximization problem while 3 constraints are there. Like s1 , s2 and S3 . To find.
    And I am unable to understand in iteration 2 while doing what we should take r1 r2 and r3 formulas in iteration 2. In iteration 2. So plzz make one video of simplex maximization problem in s1 S2 and S3 and finding solution of r1 r2 and r3 formulas for 3 constraints

  • @techmaestro2932
    @techmaestro2932 2 года назад +3

    Good explanation sir but i have a doubt my college professor and also in my book operation is Zj--_Cj but you perform Cj-- Zj
    please sir explain which is right

    • @KeshavJadhav
      @KeshavJadhav  2 года назад +1

      I have used Cj-Zj. If we use Zj-Cj then key column selection rule will be opposite of (Cj-Zj).
      I hope it is clear to you

    • @techmaestro2932
      @techmaestro2932 2 года назад +1

      @@KeshavJadhav thank you sir

  • @utkarshupadhyay4847
    @utkarshupadhyay4847 Год назад

    Solve as soon as possible sir ..

  • @ankithagoud9749
    @ankithagoud9749 3 года назад +2

    NYC lecture

    • @AnkitAye
      @AnkitAye 3 года назад +1

      I bet you could have typed "nice" in less clicks than "NYC"

    • @ankithagoud9749
      @ankithagoud9749 3 года назад +1

      @@AnkitAye haha🤣

  • @teenskeey2157
    @teenskeey2157 2 года назад +1

    Si muonge Kizungu bana, shida yenu ni gani?

  • @khushieverma
    @khushieverma 9 месяцев назад +1

    If Cj- Zj are equal for x1 and x2 then how to determine key column??

    • @KeshavJadhav
      @KeshavJadhav  9 месяцев назад +1

      Then that is degeneracy case, please watch below link video to know more about degeneracy case problem:
      ruclips.net/video/Gzx-Qv16-lE/видео.htmlfeature=shared

    • @khushieverma
      @khushieverma 9 месяцев назад +1

      @@KeshavJadhav thankyou sir

  • @AC-os6er
    @AC-os6er 2 года назад +1

    Hi, isn’t the formula zj-Cj cuz that’s how it’s given in my book? And I wanted some videos which has Zj - Cj and not Cj - Zj

    • @KeshavJadhav
      @KeshavJadhav  2 года назад +1

      Both way are right.
      I have used Cj-Zj. If we use Zj-Cj then key column selection rule will be opposite of (Cj-Zj).
      I hope it is clear to you

    • @AC-os6er
      @AC-os6er 2 года назад +1

      @@KeshavJadhav thank you sir

  • @abhirami_krishna_r2213
    @abhirami_krishna_r2213 3 года назад +1

    Sir I have a doubt..does simplex method give different solu

    • @abhirami_krishna_r2213
      @abhirami_krishna_r2213 3 года назад +1

      Or is there a single answer for simplex method

    • @KeshavJadhav
      @KeshavJadhav  3 года назад +2

      @@abhirami_krishna_r2213 , there can be multiple optimum solutions for a particular problem, but we get single optimum solution using simplex method.

  • @chithra2364
    @chithra2364 Год назад

    Hello sir...
    Last iteration method Cj-zj can be negative? (s1and s2 column)

    • @KeshavJadhav
      @KeshavJadhav  Год назад +1

      Yes, it can be negative.

    • @chithra2364
      @chithra2364 Год назад

      Thank you

    • @KeshavJadhav
      @KeshavJadhav  Год назад

      @@chithra2364
      I would like to share playlist of other relevant videos, if you found useful then please share with your student friends.
      ruclips.net/p/PLPS67918Zad3H1ftE6DzZ_XHKLp8jAuvy

  • @tejaswinikhandekar441
    @tejaswinikhandekar441 2 года назад +1

    Which is the decision variable here

    • @KeshavJadhav
      @KeshavJadhav  2 года назад

      Here decision variables are x1 and x2

  • @farhafatima8219
    @farhafatima8219 2 года назад +1

    Why are we using S ?? Why the Cb is zero taken ?? I don't understand this can u plzz tell me

    • @KeshavJadhav
      @KeshavJadhav  2 года назад +1

      S is used to convert given equation into standard form(watch at 2:15min).
      Cb is value of coefficient of current basic variable (watch at 5:45min)

  • @fasikamillion5519
    @fasikamillion5519 Год назад

    How do we know that we got the maximum value? Please tell me

    • @KeshavJadhav
      @KeshavJadhav  Год назад

      You can check valve of objective function (z) at all other feasible points, it will be less than value which is optimum
      .
      If watch last part of this video (graphical method) then you will get clear idea.

  • @swetanandi4964
    @swetanandi4964 3 года назад +2

    Why is cj - zj , +ve , when 0-7 is -7 ???
    🤔🤔🤔

    • @KeshavJadhav
      @KeshavJadhav  3 года назад +2

      It is Cj-Zj = 7-0 = 7 (+ve).
      You might be confused because in some book instead of Cj-Zj, they have taken Zj-Cj.

    • @swetanandi4964
      @swetanandi4964 3 года назад +2

      @@KeshavJadhav Oh ohkay , I get it ...Thank you sir

  • @gladsanga1900
    @gladsanga1900 2 года назад +1

    I have not understand in the way we solve table 2 especially when getting R2

    • @KeshavJadhav
      @KeshavJadhav  2 года назад +2

      In table 2, I have simply performed
      R2= R2/2.

    • @gladsanga1900
      @gladsanga1900 2 года назад +1

      @@KeshavJadhav but in other questions I tried to solve and use the same procedure but I failed

    • @KeshavJadhav
      @KeshavJadhav  2 года назад +1

      @@gladsanga1900 basically you need to convert key elements into "1".
      R2=R2/2 may not be applicable for other questions.
      Please watch video again.
      I am sure you will be able to understand concept.

  • @sonidarshil4908
    @sonidarshil4908 3 года назад +1

    R2/2 ????

  • @utkarshupadhyay4847
    @utkarshupadhyay4847 Год назад

    Maximize Z = 30x + 20y
    Subject to the constraints,
    3x + y ≤ 1500
    1x + y ≤ 3000
    x , y ≥ 0
    Solve LPP BY SIMPLEX METHOD.
    Please solve as soon as possible sir .. and send me.

    • @KeshavJadhav
      @KeshavJadhav  Год назад

      cbom.atozmath.com/CBOM/Simplex.aspx?q=sm&q1=2%602%60MAX%60Z%60x1%2cx2%2cx3%6030%2c20%603%2c1%3b1%2c1%60%3c%3d%2c%3c%3d%601500%2c3000%60%60D%60false%60true%60false%60true%60false%60false%60true%601&dp=4&do=1#PrevPart

    • @utkarshupadhyay4847
      @utkarshupadhyay4847 Год назад

      @@KeshavJadhav sir I have one problem based on two phase method and it is also based on some simplex cases :-
      Find the maximum value of
      Z = 107X1 + X2 + 2X3
      S.t . 14x1 + x2 - 6x3 + 3x4 =7
      16x1 + x2 - 6x3 ≤ 5
      3x1 - x2 - x3 ≤ 0
      x1 , x2 , x3 , x4 ≥ 0
      Solve sir please .... as soon as possible ....

  • @esubalewbacha2616
    @esubalewbacha2616 Год назад

    why on the objective fun. slack value is zero

    • @KeshavJadhav
      @KeshavJadhav  Год назад

      In objective function, coefficient of slack variable is zero. Because objective of given problem do not include any other parameters than x1, x2, ......
      We have to optimise only given parameters (x1, x2, ......)

  • @alaraerk8304
    @alaraerk8304 Год назад

    you need to multiply z by -1 first. max lop is being converted to min firt to obtain its standart form-si your solution is not right

  • @notdaksh7017
    @notdaksh7017 Год назад

    no chutney?

    • @KeshavJadhav
      @KeshavJadhav  Год назад

      It's up to you, depends on way to looking at things.

  • @arjunsolanki261
    @arjunsolanki261 3 месяца назад

    class is lagging in between

  • @golainsaan
    @golainsaan Год назад +3

    Best explanation

  • @prajwalhabbu7356
    @prajwalhabbu7356 3 года назад +2

    Thank you sir

  • @pavanidontoju2121
    @pavanidontoju2121 3 года назад +1

    Tq sir