Simplex Method - Standard Maximization Problem (free app in description)

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  • เผยแพร่เมื่อ 18 ธ.ค. 2024

ความคิดเห็น • 307

  • @BrianVeitch
    @BrianVeitch  4 ปีที่แล้ว +1

    Check out my new Simplex Method app for iPhone and iPads. The link is in the description.

    • @korbynxander6
      @korbynxander6 3 ปีที่แล้ว

      not sure if you guys gives a shit but if you're bored like me atm you can stream all the latest movies and series on Instaflixxer. Have been binge watching with my gf recently xD

    • @kacekristian5178
      @kacekristian5178 3 ปีที่แล้ว

      @Korbyn Xander yea, I've been using InstaFlixxer for since november myself :)

  • @evrenesi7017
    @evrenesi7017 4 ปีที่แล้ว +3

    8 years after publishing, still helping out people. Thank you Brian.

  • @1MoreTurn
    @1MoreTurn 9 ปีที่แล้ว +5

    3 years after publishing, still helping out people. Thank you Brian.

  • @garyyu2220
    @garyyu2220 10 ปีที่แล้ว +11

    Dude you are the best. My professor explained it in lecture and it flew over my head. The way you did it is so easy. Now looking back I understand what my prof. said. Thanks!

    • @JorgeEscobarMX
      @JorgeEscobarMX 9 ปีที่แล้ว

      I agree. My professor knows this, but I just didn't get it. This video explains it so well that I even think it's easy.

  •  5 ปีที่แล้ว +5

    Hands on, the most clear and to the point explanation! Thank you for not wasting people's time! :)

  • @Lynn-xo5tw
    @Lynn-xo5tw 8 ปีที่แล้ว

    I am gonna cry!!Searching for a proper explanation for almost a whole day and finally!!Well explanation!!Finally understood!!You are my life saver!!Thank you!!

  • @awt9805
    @awt9805 7 ปีที่แล้ว +7

    Thanks for teaching me in 10min what my professor tried to teach for 10 hours

  • @rajuacharya7839
    @rajuacharya7839 3 ปีที่แล้ว

    So nicely explained. Indian instructors are making so difficult to understand all over youtube for such a simple problem. Thank you Brian making such a useful and easy to understand video.

  • @matthiasgraf8912
    @matthiasgraf8912 5 ปีที่แล้ว +4

    Thank you so much! I've been struggling with this since several hours but with your explanation I understood it in a couple of minutes. Thanks so much!

  • @paulsbunions8441
    @paulsbunions8441 5 ปีที่แล้ว

    My online prof taught this with what sounds like a mid 90's Burger King Drive through microphone on a windy day, and the audio only played in one ear, appreciate this bro

  • @grantsmith3653
    @grantsmith3653 9 ปีที่แล้ว +15

    +Brian Vietch This is fantastic. I watched other people do this and your version is by far the most clear. Thank you thank you.

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว

      +Grant Smith Thanks for the compliment

  • @BeMyVforever
    @BeMyVforever 2 ปีที่แล้ว

    Clear & concise. THE BEST tutorial I've seen on Simplex Method. Thank you, you helped a student big time.

  • @alexisgomez6222
    @alexisgomez6222 9 ปีที่แล้ว +2

    Great video! It was really helpful. I was struggling with the Simplex Method, and my professor didn't explain it so well. But this video made it so clear! Thanks!

  • @dharamvirsingh1623
    @dharamvirsingh1623 11 ปีที่แล้ว

    A very good explanation of the Simplex Method that i didn't find in any of the books or other references...great job sir..

  • @JorgeEscobarMX
    @JorgeEscobarMX 9 ปีที่แล้ว +2

    Thank You. I would love to have teachers like you on school.

  • @ti8es418
    @ti8es418 5 ปีที่แล้ว +1

    I finally leanred simplex only by a simple 12 min video!!! I HAVE STRUGGLED WITH THIS METHOD 3 SEMESTERS NOW!!!!!

  • @Parajulibkrm
    @Parajulibkrm 6 ปีที่แล้ว

    ONLY video that made me understand simplex method. I tried like 10 videos before.

  • @hemantbhatia3400
    @hemantbhatia3400 11 ปีที่แล้ว +3

    bro this my first comment on youtube and I must say that it helped a lot thanks bro !

  • @Devdev30000
    @Devdev30000 9 ปีที่แล้ว +33

    thank you saved my final

  • @ankitpassi
    @ankitpassi 8 ปีที่แล้ว +1

    Thanks a bunch sir , i've literally tried every other tutorials out there ,this was the first one to get me my answer , thanks a lot , i'll sub you !

  • @ethantiangco5549
    @ethantiangco5549 5 ปีที่แล้ว +2

    this is the exact same problem given to me in our homework. thank you so much!!

  • @marwinninja
    @marwinninja 11 ปีที่แล้ว

    Need a 7.2 on today's test, you probably helped me out for like 2+ points, thanks mate!

  • @Tom-le3yy
    @Tom-le3yy 8 ปีที่แล้ว +5

    Excellent explanation. The best I have seen, Bravo.

  • @malak951
    @malak951 ปีที่แล้ว

    Thank you for showing us how to use this complicated calculator. ❤

  • @amyshaw893
    @amyshaw893 5 ปีที่แล้ว +4

    well, i have my final exam in 12 hours, and this will be on it, but i think you have just saved my ass

  • @BrianVeitch
    @BrianVeitch  11 ปีที่แล้ว +2

    Usually. Standard minimization problems are transformed to a standard maximization by using something called a Primal/Dual Table. I don't have a video on that, but if you search youtube for 'simplex method standard minimization,' the first video by Scott Elliot looks promising. He also has a non-standard minimization video.

  • @missmenacingmax
    @missmenacingmax 7 ปีที่แล้ว +1

    i just want to know why the Z column is called the junk column ? besides your explanation was by far clearer although i did not understand how you could tell if the columns were basic.

  • @lynx821
    @lynx821 9 ปีที่แล้ว +3

    Hi, at 4:30 you used row operations to turn the numbers of the last 3 rows in the first column into zeroes. Why'd you do that? And what if my pivot is in the middle, e.g.: column 2, row 2.

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว +1

      +lynx821 It's like row reducing with matrices. Whatever is your pivot element, you turn it into a 1 and the rest of the numbers in that column to 0s. In your example if we pivot around column 2, row 2 then you turn the 3 into a 1 and the 1/2, 1, and -5 into 0s.

    • @lynx821
      @lynx821 9 ปีที่แล้ว +1

      +Brian Veitch All right, thanks a lot man! Saved me a lot of time and my mid years.

  • @rubidulce1
    @rubidulce1 9 ปีที่แล้ว +1

    Awesome review! Made it so much simpler and very clear! Thank you for sharing your knowledge. - Engineering Student

  • @jitheshsukumaran
    @jitheshsukumaran 10 ปีที่แล้ว

    Im really worried about this method. But this video helps me to understand easily. Thank U a LOT

  • @koukouvaouvaoukraou
    @koukouvaouvaoukraou 9 ปีที่แล้ว +1

    Thank you so much!!its the only video that helped me solve the second table!!!!!

  • @qmsbuksu310
    @qmsbuksu310 8 ปีที่แล้ว

    Thank you so much for your step-by-step video. Soooo easy to follow...

  • @WhosPhiil
    @WhosPhiil 9 ปีที่แล้ว +12

    I didn't quite understand why the concept of the Basic and Non-basic columns. Why is Z for example an Non-Basic column? Great Video!
    Kind Regards

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว +10

      Philippe De Soure Think of it like row reducing a matrix. You want to get your columns so that they have a 1 and the rest 0s. For the simplex method, they just call this a Basic Column. Non-Basic columns (or commonly called junk columns) don't have this form and tell you that the variable was not needed (i.e, z = 0). Honestly, I haven't looked into the how and why this method works.

  • @S0larus
    @S0larus 9 ปีที่แล้ว +6

    5:51
    Guys, which mode on the calculator CASIO must I choose in order to perform such calculations?

    • @rachanasawant1204
      @rachanasawant1204 8 ปีที่แล้ว

      even i want to know..please tell

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว

      I'm not sure what you mean by mode. Are you talking about how I do the row operations in my calculator?

    • @rachanasawant1204
      @rachanasawant1204 8 ปีที่แล้ว

      i m using casio fx-991ES PLUS ..so how to do row operation in that model?

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว

      I have an idea but I need to get my hands on that calculator. There are a lot of different versions of a casio fx scientific calculator. I teach a lecture of 120 students today and maybe one of them has one for me to look at.

    • @rachanasawant1204
      @rachanasawant1204 8 ปีที่แล้ว

      please check..that would be a great help to me..thabkyou

  • @chrishansen2988
    @chrishansen2988 9 ปีที่แล้ว +3

    Great explanation, probably one of the best vids explaining it. But I think I'll just stick to coordinate graphing.... lol

  • @chrisli8049
    @chrisli8049 5 ปีที่แล้ว +1

    best explantation ever! Thank you so much

  • @msheen99
    @msheen99 11 ปีที่แล้ว

    Thanks a lot Brian!!Very much informative...I wanted to know whether any video for minimization problem too.. do we need to convert a minimization problem to a max problem to solve it?

  • @choukriya2668
    @choukriya2668 11 ปีที่แล้ว

    it's best I have seen about simplex lecture! great

  • @FirstLast-qf1df
    @FirstLast-qf1df 7 ปีที่แล้ว +1

    Thanks you saved my ass on my upcoming math final

  • @simonbentley2020
    @simonbentley2020 8 ปีที่แล้ว

    hi brian thank u so much first of all even though only in the middle of the video but seems a lot clearer can you just explain why u have multiplied the first row by 0.5? why did you choose a half?

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว

      +Simon Bentley The first element in the first row is my pivot element. The most straightforward way of starting the row operation process is to make the pivot element into a "1". Since the number is a "2", I multiplied the row by 1/2. This turns the 2 into a "1". You can also divide the row by 2 (but that's basically doing the same thing).

  • @ghettogazz
    @ghettogazz 10 ปีที่แล้ว +2

    P=0.16x+ 0.14y
    x+y

  • @abubakarbobboi2551
    @abubakarbobboi2551 8 ปีที่แล้ว

    Best explanation for me so far, thanks

  • @Draigon92
    @Draigon92 10 ปีที่แล้ว

    To find the maximum, don't you pick the largest value from the objective function and the largest from the divided rows too?

  • @lasselund2155
    @lasselund2155 7 ปีที่แล้ว

    You are my man. This was just the right video for my project

  • @leslielaii
    @leslielaii 8 ปีที่แล้ว +1

    great video. Can i know what app u use for explaining this? Would love to know it.

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว +1

      I'm using camtasia for filming and smoothdraw to draw.

  • @BrianVeitch
    @BrianVeitch  11 ปีที่แล้ว

    Even though we are trying to row reduce, the element we pivot around in the Simplex Method matters. Because 90 is the smallest ratio, we need to pivot around that row. That's why we pivot around the '2'. You can still switch rows. It just won't change the element you pivot around.

  • @luisluiscunha
    @luisluiscunha 11 ปีที่แล้ว +1

    Thank you: very well done. Great effort and nice pedagogical style.

  • @BrianVeitch
    @BrianVeitch  12 ปีที่แล้ว

    Basic columns are 'unit' columns. Unit columns are columns that can be written with a 1 and the rest 0s. So (1,0,0) or (0, 1, 0 , 0) or (0, 0, 1, 0, 0).

  • @chotu1992
    @chotu1992 10 ปีที่แล้ว +1

    Work of Art! Great solution.

  • @aniamirza
    @aniamirza 4 ปีที่แล้ว

    oh my gosh thank you! the video was insanely helpful

  • @kizitosidegu8341
    @kizitosidegu8341 9 ปีที่แล้ว

    you teach better than my Econ lecture

  • @lizi9019
    @lizi9019 7 ปีที่แล้ว

    where do you get that awesome calculator, Sir?

  • @shaqron3720
    @shaqron3720 5 ปีที่แล้ว +1

    What does it mean to have 60 of slack variable of W ?

    • @BrianVeitch
      @BrianVeitch  5 ปีที่แล้ว +1

      It means the equation associated with that inequality was not satisfied. It makes more sense when it comes from a word problem. Say for example you want to sell three types of chairs. Chair A takes 1.25 hour, B takes 2 hours, and C takes 3 hours. With an 8 hour workday, this gives us the total hours spent in one day as
      1.25x + 2y + 3z

    • @shaqron3720
      @shaqron3720 5 ปีที่แล้ว

      @@BrianVeitch thank you so much !

  • @lalarzapianoenthusiast
    @lalarzapianoenthusiast 6 ปีที่แล้ว

    Hello thank you for clear explanation can I use this method for minimization problem ?

    • @BrianVeitch
      @BrianVeitch  6 ปีที่แล้ว +1

      You can't use this technique right away. For a standard minimization problem you need to set up a dual table. This eventually leads you to a new system of inequalities. Then you can use this technique. Reading the final answer from the table is also different. I have a flow chart in the video description to help guide you through the process. I recommend th-cam.com/video/BdtdYlUIXak/w-d-xo.html. This video lays out the process pretty well.

    • @lalarzapianoenthusiast
      @lalarzapianoenthusiast 6 ปีที่แล้ว

      @@BrianVeitch Thank you very much 🤗🌹

  • @Cameron_Smiley
    @Cameron_Smiley ปีที่แล้ว

    Just cracked the code thanks to this video. Been looking for someone to explain it right for hours. Thank you!!

  • @AKASHSINGH-mk2gh
    @AKASHSINGH-mk2gh 9 ปีที่แล้ว

    bro you are awsum . been trying to figure it out from the books and they used so much of ki fi and pi terms to confuse the hell out of me ....

  • @lizi9019
    @lizi9019 7 ปีที่แล้ว

    how did you determine which variables are basic and which are not? And, you never seem to bother with entering variable or leaving variable, therefore, how did you properly interpret the final table??

  • @효방이-h8t
    @효방이-h8t 8 ปีที่แล้ว +2

    sorry how to decide which is column is basic or nonbasic? and thank you so much!

    • @mohsennabian9661
      @mohsennabian9661 8 ปีที่แล้ว +6

      if a column has all zeros except 1 one, that would be basic

  • @boomboomdaksh1458
    @boomboomdaksh1458 7 ปีที่แล้ว

    Hey, what if you do the ratio test and you have a negative number, what do you do then?

  • @profesorresor123
    @profesorresor123 5 ปีที่แล้ว

    @Brian Veitch I understand that basic columns are those, where in objective function row is 0 (so x, y and w maches that rule) but what about P? It has 1 in objective function row. Is P an exception from that rule? Maybe there is another rule for that? Or is it always considered as a basic column?
    Thanks in advance for Your help.

    • @BrianVeitch
      @BrianVeitch  5 ปีที่แล้ว +1

      Bartosz A. It’s not that there’s a 0 in the objective function row. It’s that the column is a unit column (a column with a single 1 and the rest 0s). So the P column satisfies that rule.

    • @profesorresor123
      @profesorresor123 5 ปีที่แล้ว

      @@BrianVeitch Ah, i see now. Thank You!

  • @habdhouse
    @habdhouse 11 ปีที่แล้ว

    thanks a lot, what software do you use? the board and calculator?

  • @BrianVeitch
    @BrianVeitch  11 ปีที่แล้ว

    Basic columns are just columns with a '1' and the rest '0's. It just turns out that the 'w' column ends up being a basic column. Back when we introduced the slack variables, it just means 'w' was needed in order to get the equal sign.

  • @earljando8649
    @earljando8649 6 ปีที่แล้ว

    Geezzz thank you so much bro! You really save me from my reporting about simplex method in lpp thank you so much!..

  • @dhaddhad9765
    @dhaddhad9765 10 ปีที่แล้ว

    I'm interested in the calculator software, where did you get it?

  • @karlpresly
    @karlpresly 10 ปีที่แล้ว

    can i do the row operations @5:31 on standard scientific calculators??

    • @BrianVeitch
      @BrianVeitch  10 ปีที่แล้ว

      Of course. You can use any calculator that can deal with fractions. You can do one number in each row at a time instead of the entire row at once. I just did this way to speed up the calculations.

  • @BrianVeitch
    @BrianVeitch  11 ปีที่แล้ว

    The solution is x = 48, y = 84, and z = 0. If you let z = 60, it won't satisfy the initial inequalities. When you're done with the simplex algorithm, you read off the table like w was a basic variable. w = 60 doesn't really mean anything directly. z = 0 means the z-variable wasn't actually needed to give an optimal solution. If you think of how solutions are interpreted geometrically, the corner where the system is optimized occurred on the z-plane (z = 0). So z is like a junk variable now.

  • @bhargavkopparati9271
    @bhargavkopparati9271 8 ปีที่แล้ว

    How can you decide which one is basic column and which one is junk?

  • @renaivo4238
    @renaivo4238 8 ปีที่แล้ว

    hello there, how did you re write the objective function? how did it all turn to negatives?
    Please help me. Thank you

  • @bastiaan6551
    @bastiaan6551 4 ปีที่แล้ว

    Thank you very much you're a legend mate!!

  • @DarthAlphaTheGreat
    @DarthAlphaTheGreat 9 ปีที่แล้ว +1

    So I assume if looking for min, then you would be looking for, in the first Simplex Table, the largest one (while you looked for the most negaive, i.e. the smallest)??

    • @ishandabri9121
      @ishandabri9121 8 ปีที่แล้ว

      +DarthAlphaTheGreat largest "negative" is the smallest number ultimately.

  • @sarahshackelford3060
    @sarahshackelford3060 9 ปีที่แล้ว

    Do you have to use the row in which the Pivot element is in in each step of the row operations? Or could you do, say, R_3 - 2R_2 --> R_3?

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว

      Sarah Shackelford For your example of R3 - 2R2 -> R3, this means to me that R2 is the pivot row. If R2 is not the pivot row I'm not sure if that operation will do anything for you.
      The row with the pivot element is the pivot row. You should use the pivot row in each of the row operations for one "cycle." For example, suppose R2 is the pivot row. You must do a row operation with R1, R3, and R4 using R2 as the pivot row. Once you're done with R1, R2, and R4, you can start again by choosing a new pivot element and pivot row. But make sure that your operations always use the pivot row. Hope this answered your question.

    • @sarahshackelford3060
      @sarahshackelford3060 9 ปีที่แล้ว

      Brian Veitch Thank you, Brian. Just curious...do you know why that is? I know that if I don't use the pivot row, I get a different answer...but I can't figure out why that would matter.

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว

      Sarah Shackelford math.stackexchange.com/questions/39306/simplex-method-row-operations-help. Skip about halfway down to the answer that starts with "I'll assume you are using a nice full table that ..." This person's answer is quite long but about halfway through the answer he or she goes through an example explaining what would happen if you choose an operation that didn't use the pivot row. His or her conclusion is that after each cycle of row operations, you must always have the identity matrix hidden in there somewhere. So for my example, there is always a column with (1,0,0,0), (0,1, 0, 0), (0, 0, 1, 0), and (0, 0, 0, 1). Doing a row operation that doesn't use the pivot will probably leave you with a table that loses one of these columns. Doing so means you won't be able to read the answer correctly.

    • @sarahshackelford3060
      @sarahshackelford3060 9 ปีที่แล้ว

      Brian Veitch That makes sense. Thank you!

  • @BlakeEdwards333
    @BlakeEdwards333 4 ปีที่แล้ว

    how do we find pivot row when the C column has, for example, two 0 entries? Would you use the first zero row as the smallest?

    • @BrianVeitch
      @BrianVeitch  4 ปีที่แล้ว +1

      If it does and all the constant values are 0 then you may not have a feasible region (no answer). Or the Simplex Method won't work with the contraints you've given. I've never seen it happen so I'm curious if you've come across this.

  • @michalsobotka84
    @michalsobotka84 9 ปีที่แล้ว

    Hi, i've got a question for 1st pivoting step. What's going un with all row if x in 2nd or 3rd equation is equal 0? We are leaving all row without any changes ? Thank You for an anwser.

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว

      +Majkel matka teresa I'm not sure what you mean.

  • @Animeisthebest25
    @Animeisthebest25 10 ปีที่แล้ว

    Do you have a document copy of this?. I need solved problems of maximization. help pls Thankyou :)

  • @lasselund2155
    @lasselund2155 7 ปีที่แล้ว

    btw. what does it mean when W=60?

  • @dimitrispogkas179
    @dimitrispogkas179 8 ปีที่แล้ว

    I have a question. Do slack variables have a meaning? Except helping us solve it of course.
    Amazing explanation by the way.

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว

      My explanation may not be amazing but I'll give it a try. Remember when you solved systems of equations? Like 2x+y=10 and x-y=4? The answer was the intersection of the two lines.
      With systems of linear inequalities the answer is not an intersection but an entire shaded region. But when adding the objective function, i.e., Maximize P=2x+4y, the answer must now be at a corner (i.e, intersection of two lines) of the shaded region.
      We can't use augmented matrices until we have equal signs. We introduce the slack variables so that both sides now balance to give us an equals. For example, 2+5

    • @dimitrispogkas179
      @dimitrispogkas179 8 ปีที่แล้ว

      Brian Veitch I understand the concept of slack variables. I'm not sure I completely understand what you're writing since English isn't my native language but I wondered if these variables have a meaning like the explanation of "λ" in langrange optimization.
      thanks for the answer anyway.

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว +1

      Honestly they just represent the resources in the LP problem that are not used. I'm sure there is a much more technical answer but none that have helped me understand them more. The theory can get really abstract when you venture into the high level graduate courses. But for lower level undergraduate math classes (where this is usually introduced) they are used so we can use an augmented matrix and to keep track of how much of a variable we do or do not need.
      I'm sorry I couldn't help more.

  • @Extreme_Gardening145
    @Extreme_Gardening145 8 ปีที่แล้ว +2

    Very helpful, thanks.

  • @HubaibElahi
    @HubaibElahi 8 ปีที่แล้ว

    Thanks for wonderful explanation but why z is not basic column but w is basic?

    • @BrianVeitch
      @BrianVeitch  8 ปีที่แล้ว +1

      w is basic because the w column is a unit column (one 1 and the rest 0s).

    • @HubaibElahi
      @HubaibElahi 8 ปีที่แล้ว

      Brian Veitch thanx

  • @natmc8040
    @natmc8040 10 ปีที่แล้ว

    Would you be so kind and let me know what software you use (besides Camtasia, I assume) to record this video? I see that your mouse is in the hand shape and I would like to learn how to do this. I use Smoothdraw currently.

    • @BrianVeitch
      @BrianVeitch  10 ปีที่แล้ว

      I do use Camtasia for my videos. I also use Smoothdraw. I set the recording window so you don't see the color toolbar that's on the left side. To answer your other questions in the message you sent, it's possible to change the mouse settings in camtasia to use different icons. One of the default icons is the hand. I believe you can change it by opening Camtasia Record and change the settings. I create all my graphs using a free program called Graph from www.padowan.dk. I create a template graph and copy it to a program called Photofiltre so I can make the white background transparent. When I copy and paste the graph onto Smoothdraw you'll only see the x,y axes. The Graph program lets you change the color of the axes. I do the same thing with all images and tables. I set up layers on Photofiltre. I'll put the graph on layer 1. But I'll write and draw on layer 2. That way I won't mess up the graph. I actually pause the recording so I can add the graphs and text. Smoothdraw lets you add text. You just don't see my writing it because I paused the recording to do it. It's a tedious process.

    • @natmc8040
      @natmc8040 10 ปีที่แล้ว

      Brian Veitch Thanks so much for your detailed response. I found the hand in Camtasia and the textbox in Smoothdraw; the graphs do seem to be tedious, but it looks worth it - very professional and sleek. Thanks again for sharing.

  • @msheen99
    @msheen99 11 ปีที่แล้ว

    Thanks Brian.. I did watch the one by Scott and solved it.

  • @abe6797
    @abe6797 9 ปีที่แล้ว +2

    what happens if we get same values wen dividing C column with pivot column..
    like your initial C column was 600 ,300, 1000?
    please reply fast..

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว +1

      If you get the same ratio then you should be able to choose either one.

    • @abe6797
      @abe6797 9 ปีที่แล้ว

      +Brian Veitch ,thnx ..this is a really gud method..

  • @denalfit
    @denalfit 4 ปีที่แล้ว

    At 8.05, shouldn't it be 120 rather than 240?

  • @Jacquellnguyen
    @Jacquellnguyen 11 ปีที่แล้ว

    How do you separate basic columns and junk columns?

  • @xcrash34x
    @xcrash34x 11 ปีที่แล้ว

    At roughly 3:16 can we not switch the second row with the first??

  • @carlosmorales8455
    @carlosmorales8455 5 ปีที่แล้ว

    What happens in the step of dividing my "C" column by my pivot column if my "C" value is 0? My result of the division is going to be 0, so do I consider it when comparing with other results, or I just ignore it?

    • @BrianVeitch
      @BrianVeitch  5 ปีที่แล้ว

      You can ignore it. You need the one with the smallest Positive ratio.

  • @varunkaustubh1
    @varunkaustubh1 10 ปีที่แล้ว

    thanks a lot!! you have a very nice way of explaining the concept :)

  • @Thefhitefalcon
    @Thefhitefalcon 4 ปีที่แล้ว

    Thank you very much. it was very helpful to me :)

  • @akankshalochan7154
    @akankshalochan7154 11 ปีที่แล้ว

    Sir while changing the 1st row( when we multiply R1 with 1/2), won't we change 90 to 45 as 1/2 is being multiplied to complete row?

    • @cassaundraveitch1703
      @cassaundraveitch1703 11 ปีที่แล้ว

      There isn't any place where you need to multiply 90 by 1/2. Around 2:40 I had to multiply 180 by 1/2 to get 90. There's also another place later in the video where I had to divide 90 by 1/2.

    • @akankshalochan7154
      @akankshalochan7154 11 ปีที่แล้ว

      I got it, Thank you! :)

  • @ayoluca1
    @ayoluca1 11 ปีที่แล้ว

    what model and brand is the calculator ??? please someone respond me

  • @sujoy70
    @sujoy70 10 ปีที่แล้ว

    Which software do you use as blackboard?

    • @BrianVeitch
      @BrianVeitch  10 ปีที่แล้ว

      I use Smoothdraw as my drawing program. I use layers. The bottom layer is the black background. The second layer is what I draw on. I use camtasia to record my screen.

    • @sujoy70
      @sujoy70 10 ปีที่แล้ว

      Is SmoothDraw a paid software? If so,how much does that cost? And how do you zoom to a specific portion of screen in Camtasia while recording? And how do write to screen during a presentation?

    • @BrianVeitch
      @BrianVeitch  10 ปีที่แล้ว +1

      Sujoy Krishna Das SmoothDraw was free when I downloaded it. I draw right on the Smoothdraw program while I record the screen. The zoom feature is unique to camtasia. After you're done recording, you can zoom in on different parts of the screen during editing. There are other free screen recording software but I don't think they have the zoom feature. Camtasia is an expensive program. I wouldn't recommend it unless you absolutely need it.

    • @sujoy70
      @sujoy70 10 ปีที่แล้ว +2

      Thanks Brian Veitch for the info! Kindly watch my OR videos if you please.

  • @ninaskanal6868
    @ninaskanal6868 9 ปีที่แล้ว +1

    Hi, I do not really get why z = 0. could you please explain more detailled? I expected it to be 60 :-(

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว

      +Nina´s Kanal Sorry for the late response. I didn't see your comment until now. It's just the way the simplex solution is read from the table. If the column containing the variable (in this case z) is not a basic column, then the solution for that variable is 0. A basic column is a column with a 1 and the rest are 0s. That's why x = 48 and y = 84. x and y are basic columns.

  • @Jacquellnguyen
    @Jacquellnguyen 11 ปีที่แล้ว

    ahhh i looked down and found the answer already :D Thanks muchly for this incredible video

  • @tamodevelopers2378
    @tamodevelopers2378 8 ปีที่แล้ว

    shouldn't on you second table the 240 be 120?? or the 90 remain as 180?

  • @Nomasamor
    @Nomasamor 4 ปีที่แล้ว

    I don’t understand where the 0’s come from why it’s 0 0 then a random 1??? In the simplex table?

  • @slopedoff
    @slopedoff 7 ปีที่แล้ว

    hello ,in the first array why there is a "1 " instead of 0 in the slack variable w??? before repeats

    • @BrianVeitch
      @BrianVeitch  7 ปีที่แล้ว

      When during the video does this happen?

    • @slopedoff
      @slopedoff 7 ปีที่แล้ว

      @ 2:04 , but i found it .Im ok. you set 1 to u,v,w

  • @GtaRockt
    @GtaRockt 9 ปีที่แล้ว +1

    Are basic colums the ones where I had a pivot element?

    • @BrianVeitch
      @BrianVeitch  9 ปีที่แล้ว +6

      +Lobster with Mustard and Rice Basic columns are columns with a 1 and the rest are 0s. If it's a basic column the last row should have a 0 for that column. That means it won't be a candidate for the pivot column since you're suppose to look for the largest negative number.

    • @GtaRockt
      @GtaRockt 9 ปีที่แล้ว +1

      Brian Veitch aaah
      now it makes more sense. Thank you!

  • @franciskaflugt8920
    @franciskaflugt8920 11 ปีที่แล้ว

    If a slack variable becomes a negative in the bottom, do I then have to optimize the slack variable?

    • @BrianVeitch
      @BrianVeitch  11 ปีที่แล้ว +1

      I'm not quite clear what you mean by negative in the bottom. If it's a standard maximization problem and you follow the procedure, I don't think that will happen. If it does, my guess is you weren't suppose to use a standard max setup.

    • @SuiGio
      @SuiGio 11 ปีที่แล้ว

      If a slack variable remains non negative after the last row is positive, you got your max (708 here) correct. The thing that changes is that this max is achieved by not using fully the resourses you have. I dont know if i helped, just needed to point that about slack vars.

  • @Emixam9090
    @Emixam9090 6 ปีที่แล้ว

    How can you calculate the new row value without a graph calculator?

    • @BrianVeitch
      @BrianVeitch  6 ปีที่แล้ว

      Slowly...If you don't have a graphing calculator you will have to calculate each element by hand. For example on the first set of row operations I did R3 - 2*R1. You'll have to go column by column.
      2 - 2(1) = 0
      1 - 2(1/2) = 0
      2 - 2(1/2) = 1
      0 - 2(1/2) = -1
      0 - 2(0) = 0
      1 - 2(0) = 1
      240 - 2*90 = 160
      These are the numbers you put back into R3

  • @clarahutcherson
    @clarahutcherson 6 ปีที่แล้ว

    Thank you so much for the video!

  • @kentbrown755
    @kentbrown755 6 ปีที่แล้ว

    Thanks for this, now i alreday understand what is max.