How to Solve a Linear Programming Problem Using the Graphical Method

In this lesson we learn how to solve a linear programming problem using the graphical method with an example. We also see an example for an in-feasible LP.
This video is HD, and Close Captioning is available.

[@rachelavila861]

This was the BEST explanation I've experienced. Took you 11 minutes what my graduate professor couldn't make clear in over 3 hours. THANK YOU

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It's incredible how ten minutes of well explained lecture are better than weeks in class. Awesome video!

[@saatsaat32]

Thank you so much Miss Shokoufeh! Your linear programming videos saved my life. Literally thank you so much, keep up the good work!

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thank for making life easier ,some professors insisted to complicate things on purpose ,thanks again for you and the social media that connected you to the world .

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[@S4M4R1T4N]

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[@jyjtbub]

Thanks a lot! It really took me 11mins to understand the concept. Great work!

[@aether46]

Impressive and most helpful. I did this course years ago but need to brush up to solve my current problem. I'll definitely look at the other videos, in a crash course format. -- Immense gratitude.

[@manianDevil98]

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[@Scatteril]

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[@mwaneimwazi488]

this was awesome....it really seemed tricky by looking and listening...but practicing was the best thing to catch up with the content...

[@CT-mc3sy]

So clear and easy to follow! Thank you :)

[@mikehuang85]

Very good video, I figured it out 3 mins into your video.

[@donnameks]

Best lectures covering Optimization, thanks a lot Shokoufeh.

[@Termite1157]

This was so much clearer than my professor thank you!!!

[@sxmirzaei]

The choice of Z is arbitrary, but we usually choose a Z value that gives us a line in the feasible region. I picked 60 only bcz its divisible by 3 and 2 and give me a line inside the feasible region. you could have selected other values such as 50 for your first line. However, for the second line, it is important to pick a value that is consistent with the objective function direction. i.e. for a max problem pick a bigger value, and for a min problem pick a smaller value than the first value. I could have chosen 100 instead of 120 and still get the right direction for the objective function improvement. Please Note that the whole purpose of doing this step is to find the direction to which we have to slide our OF line and thus our selections are arbitrary.

[@AbhishekThakuraga]

Shokoufeh Mirzaei i love your voice.....

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[@Skylineegamingstudio]

hmm gud everything easily understandable thanks

[@a.r.solanki8138]

Thanks you mam Very good Explanation of the graphical method to solve LP problem Tysm

[@hearthacker5565]

Yes mam this is only to find exact optimal point. So as to reduce unnecessary work of finding another point. You are just par excellent mam.

[@illusiveedge5223]

This was a great help! Thank you!

[@vishn2011]

Straight and clear, good work

[@007mahaveer]

Best explanation of LPP !! Thank you so much !!

[@AshanPeirisNCVU]

Short & Sweet. Great video, Thanks a lot

[@VincentDouglass]

you explained it better then anyone else on KZbin!!

[@Reem-xp2qv]

Thank you for the video. Simple, clear, and detailed explanation of the concepts.

[@jonathantakyi1256]

Great explanation and straight to the point. Thanks a lot

[@TarreVizsla]

Thank you so much for the video. You made it very easy.

[@user-ow4es8ds5z]

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[@Mel-rv8gy]

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[@rickygzz92]

Excellent explanation. Thank you! :)

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[@themorgoth]

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[@msstylo]

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Am glad I found this explanation

[@abrahamlegesse3331]

simply perfect and thank you!

[@clarus_tx]

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[@ugurozmen5513]

It's a lifesaver. Thanks.

[@MirceaAgrigoroaie]

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[@wilmarkjamesvillones5976]

EZ pass on my midterm exam! Thanks!

[@ilovepickingnose_12yrago]

Holy, I never thought it was this easy

[@seansss9525]

Thanks, that was very helpful.

[@vusumuzikhumalo2128]

Lady you are a genius, you have a gift for teaching

[@karabomohlala7257]

Thank u so much been struggling graph the objective function. Now I totally get ohw n u made find the optimal solution way easier keep at it.

[@dianamuthini3514]

Thank you for the simple explanation

[@lunakhadgee1494]

thank u it was so helpful for me

[@edrismoradi5739]

great explanation!

[@arshiaray8525]

straight forward and amazing

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[@idokoisaac8082]

thanks a bunch, was very helpful............

[@vishaladitya9222]

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[@courageagbebaku4637]

Thanks...I totally understand it now... keep up the good work dear.

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Thanks a lot! a life saver :)

[@sohsaraaa]

Thank you so much!

[@BiLiMsElGuEyE]

Waouh amazing explaination. Thank you

[@olivergural8486]

Thank you this was helpful, but I do believe you can also find the maximum value by taking the points of the vertices of the feasible region and plugging them into the maximum value equation, and the greatest value from those is the maximum value.

[@sahraunak94]

nicely explained the problem, you are a good teacher

[@imafidonrebeccaisi675]

Thank you so much

[@judyblanco4591]

This video helped me soon much thank you Mirzaei! I have a project due tomorrow and I ACTUALLY understand this!

[@panicflupbaster4667]

+Judy Blanco Hey, could you maybe help me? I understand most of the video, but at the part where she calculates the optimal solution at the intersection of constraints 1 and 2 I lost it (at 9:49). Can you explain me how she got -x and -80? It will help a lot!

[@sxmirzaei]

+Panic Flupbaster to solve the system of two equations, I multiplied the two sides of the second equation by (-1) and added with the first equation. this way, when you add the first and second equations you ll get rid of x2 and can solve the equation for x1. when you have the value of x1, you can replace it in any of the two equations and get the value of x2.

[@panicflupbaster4667]

+Shokoufeh Mirzaei ooh i get it, thank you very much, this video helped alot! :)

[@enewington]

I'm stuck on how to solve the system of the two equations as well - how did you pick (-1) as the figure to multiply the second equation by? The more I try to find different examples, it seems that this is an arbitrary figure? Thanks so much, Erin

[@Kirosye]

Thanks. Good explanation.

[@FixcyJustin-wm7id]

Well explain, I hope I can do better in this topic of linear problem.

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Thank you, may God reward you well

[@ajazahmed5452]

Thank You Miss.. It's really helpful..

[@SiddharthSinghFiery69]

Exquisitely explained...moreover ur voice is pretty appealing...thanks..keep up d good work

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Awesome!

[@deciogaspar5255]

thanks for the great explanation

[@hoomanseyfi1941]

Ahsant! kheili khub tozih dadi. well explained thanks

[@bariqallemyar7579]

thanks a lot. it was really useful. if i had the whole question description that would be perfect. because i want to learn how to make objective function and constrains formulas.

[@reaper5614]

very helpful thank u

[@khaledsakkaamini4743]

amazing tutorial​ thanks

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[@hearthacker5565]

You teaching skills and knowledge is amazing mam..may Allah bless you. Loads of love ❤❤❤

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great job

[@iskhwa]

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[@clopana27]

THANK YOU!!

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So good i am easILY able to understand it

[@chandanpandey6010]

thanxx for ur video and voice....

[@RohitSharma-qj6ll]

Good one 😇

[@ridashams3389]

U r the saviour mam thanks!

[@dasmanthkishankumarpatnaik3552]

Nice mam

[@nimamaleki1595]

What do we do with constraints that have equality constraints? and what about those which have non positive RHS? Thank you

[@limchunwei7799]

great video

[@sagarvani4553]

thanks a lot!

[@tamodevelopers2378]

hey, how did you graph 3x+2x= 60, you have the first line cordinates equal to x1=20 and x2=40 shouldn't x2 be = to 30?

[@DitiroKhuto-jx1or]

Good day, can anyone assist. Why the portion where line 3 and 2 intersect not included as the feasible region? TIA

[@jaybee587]

Thank you

[@madeinshiena0412]

Thanks for the info! ^___^ Godbless.

[@techifers]

Thanks a lot. BTW, the line for the second constraint in the last question is a mistake, right? Cos the line is at X2 = 2 not 3. It's a mistake, right?

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its awesome and excellent sir

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useful for one night before exams... thanks mam👍

[@warrenzingwena2075]

nice one

[@shlemonmelon]

thank youuuu :)

[@patricksiozon8473]

As you have said in that video that the line we're gonna draw for objective line should be equal to z. So the first line(obj. F) is 60, then you drawn a line that would be equal to z which is 60(40 +20).in that case, we're gonna forget the 20x1 and 30x2 because we should follow the rules right? So we would make the obj. F line equal to z(40 plus 20 = 60) because of your graph there. is that correct? And the second obj. F line, it should have equal to 120 (as you assumed) but you drawn a line with 40x1 and 60x2 that equal to 100, since the second obj. F line is not equal to z=120, can you explain to me what's going on there? Im just little bit confused there. And just asking here.. Thank you. :)

[@rohitchoudhary6665]

nice voice mam and way of teaching is also good.

[@ShoptarsheeBarua]

hey thanks...plz can u help me for a solution of lp??

[@chebomwaba6282]

very clear

[@satyamrai4023]

Thanks sir

[@khubsimple]

Your tutorial is so simple to understand. Thank you. Which software do you use to record your tutorial?

[@sxmirzaei]

Thanks! I used Doceri