Linear Programming 2: Graphical Solution - Minimization Problem

This video shows how to solve a minimization LP model graphically using the objective function line method.
~~~~~~~~~~~
The following LP problem was solved:
Min 5X + 7Y
X + 3Y ≥ 6
5X + 2Y ≥ 10
Y ≤ 4
X, Y ≥ 0
Linear Programming 1: Graphical Solution -Extreme/Corner Points
• Linear Programming 1: ...
Linear Programming 3: Graphical Solution - with negative coefficients
• Linear Programming 3: ...
Linear Programming 4: Slack/Surplus, Binding Constraints, Standard Form
• Linear Programming 4: ...
Linear Programming 5: Alternate solutions, Infeasibility, Unboundedness, & Redundancy
• Linear Programming 5: ...

[@jacobscott1274]

I don't go to class anymore.... 3 hours of my teacher talking can't teach me what you could in 5 minutes. THANK YOU

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True 😅 im drop out math class and just listen to his explanation

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Joshua saving lives out here. Thats is simply the best and the easiest explanation. Thank you sir

[@09Nipz]

Legend! Your teaching is perfectly paced and makes everything clear to understand. Thank you.

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How i wish i had discovered this earlier .It has made life so easy.God bless you Joshua!!! some pple are just so Intelligent.Keep the good works up and am now a pro at this great!

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wow....good job..simple,clean,straight to the point

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No way - too easy! I understand after only watching one time! WOW, you are great at explaining!!

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I agree I agree!

[@dorcashealey3265]

your presentation is clear, steady, calm, and positive. Thanks

[@pamouterbridge689]

Thank you Mr. Emmanuel. You explained everything clearly and offered extra tidbits of information for which I am appreciative of. Hopefully, I can pass my midterm now.

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[@loarmelin]

This was easy to understand! Well done! Thanks!

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Yes Joshua, you're awesome!!! This is what I call a Very Beautiful and Didactic Explanation!!! Thank You Very Much and GOD BLESS YOU!!! Congrats!!!

[@HH-mf8qz]

Extremely helpful short video! Thank you very much for making it

[@Madiha_bee]

That is simple, best and easiest explanation. Thank you for your help.

[@dinomite3794]

Thanks so much for explaining how you picked the random number for the optimal point 👌 I never knew what was the right number but you telling me to multiply the coefficients of X and Y is GENIUS.

[@joshemman]

You're welcome!

[@BharatinGermany]

Great work Joshua! I have my Operations Research exam tomorrow and I am going through your videos to pass it. :D

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LOOK WHO'S HERE!!! I have mine in 15 Days, and I'm here to learn the method to get coordinate of point B. BTW Thanks for videos and Day in life series, it motivates me to keep pushing forward to enjoy that good stuff I see in your videos ;) I'm applying for Winter 2021 intake once my exams are finished.

[@yannisk1688]

Really great example. Explaining everything. Thanks!!!

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Short and sweet. Nice for me to refresh those memories.

[@ElifKaya-yb7cx]

Tomorrow I have an exam and this was very helpfull. Thank you so much :)

[@abdularisumar6910]

Thanks for your simple explanations, really helpful!

[@robertlynch7950]

This is perfect. Thank you so much Joshua.

[@Cass731]

This was so helpful, thank you!

[@stevek1221]

Hi, I really liked this video but I have one question. If you want to convert this problem from minimisation to maximisation, this suggests we move the objective function line (the hyperplane) in the opposite direction, but would this suggest there is no optimal solution to the maximise problem? (That's because the objective line would intersect two vertices/corners/extreme points at once.) Thanks

[@gtubekorea]

Thank you so much my professor. You saved my life.

[@christianlopez4084]

This was really great man, thank you!

[@amirahsorfina5821]

Thank u so much for this im currently doing ACCA now and this helps me a lot in my f5 paper so thank u so much sir😊

[@shavindipathirana]

thanks a lot. this is the best tutorial on linear programming.

[@Interesting984]

This video Cleared all my doubts sir Thanks a lot.

[@anwartahernuman7675]

That was really helpful. Thank you!

[@devmishra850]

Nice explanation I have ever listened and watched . I really appreciate your way of telling . Thanks for helping me

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[@zy4663]

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Great Explanation ! Thank you

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You are a life saver sir!! Thank you so much.much love

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4 years later and still so helpful

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[@joshemman]

Khanyisani Mlaba You're welcome Khanyisani

[@muralit7204]

awesome... I got clear concept... thank u for that....

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this is the best explanation ... thank you very much

[@salimajibola2106]

Thank you very much Mr. Emma :)

[@haruhashimoto1792]

Thank you sir you voice makes the video easier to understand

[@dennispadarath7252]

You are my best friend. Thank you. Very much appreciated

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What a great video! This is awesome!

[@r.nishanthi4004]

Thank u very much. I could understand clearly.

[@rick9471]

this solved my confusion thanks... 💖

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thank you for your effort, it is really helpful.

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[@johannepersolanglois6441]

j'adore votre facon d'expliquer les maths. Vous etes clair, précis et bref. Merci.

[@joshemman]

De rien, Johanne. Merci d'avoir pris le temps de laisser une note.

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Really good to understand...thank you sir

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Thank you for saving my life!

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Thank you very much for your help.

[@MrSomethingdark]

Best explanation so far

[@EloisaLira]

thanks for the video, it's a really good one.

[@angelacreed9806]

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Good work sir

[@user-ki7lm1ui4y]

Its great 👍,keep it & sky is the limit...

[@joshuavillanueva2350]

Sir Joshua, you have the same name as me but you're so intelligent! This is so easy to understand and I hope that it will help me on my OR class. Thank you ^_^

[@PianoWallaby]

Excellent! Thank you!

[@Simon-qw5cm]

Thanks, Joshua!

[@Alex-ls2jz]

Thank you so much sir. It really helped me understand it better!!! Appreciate your help.

[@joshemman]

You're welcome, Alex.

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Your teaching is amazing . Thanks a lot!

[@joshemman]

You're welcome, Charles.

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[@Think9doit1]

Amazing explanation ❤

[@angelosgrivas2183]

thank you Joshua!

[@_mr_r_3642]

Thank you so much... I solved my problems

[@faithfarrell6385]

This was amazing and very helpful, studying right now for my exam and was always confused with the >= &

[@grovmac]

es: y>=4

[@ajayjain8895]

sir for preparing video which software are you using

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Great easy to follow

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[@pedroluisalcazar9285]

Nice and clear!

[@sunnytaeyeon8176]

When it's symbol is greater than, the graph of constraints is upward??

[@izztomisin5367]

What happens if the figures in the objective function is more than the figures inputed on the x and y rows

[@ntebogangbotlhagile4134]

thank you so much.helpful

[@imbillu753]

Awesome explanation

[@user-eb5el1ml1d]

You are soooo helpful!🧡

[@joshemman]

Happy to help! Thank you.

[@joci1060]

Terrific!

[@itsdannyftw]

Joshua, regarding how to know the direction to shade, you can't just always look at the inequality signs/symbols correct? For example, what if you have a negative coefficient for the decision variables? i.e. -3x + 2y ≤ -4? In this case, you may think you shade to the left from observing the inequality sign, but you actually shade to the right. What would you do to always ensure you're shading in the correct region? Is the only way substituting in values on either side of the inequality/constraint boundary line and evaluating whether it satisfies the inequality or not?

[@joshemman]

+itsdannyftw There are a few rules used out there which might be confusing and possibly lead to errors. In my opinion, the safest approach is to input a test coordinate and check if it satisfies the constraint. That way, there won't be any need memorizing 6 or more rules.

[@itsdannyftw]

+Joshua Emmanuel Excellent thanks Joshua

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Great sir ...

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thank u so much sir ......

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Nice explaination,

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Amazing!

[@maximus380]

Joshua, thanks so much for the step by step direction. I was wondering if you can create a video to demonstrate this in excel. I was able to plot constraints 1 and 2 in Excel but I am stuck in creating constraint 3. I am taking a MBA class and use very little excel in my current field of work so I must be missing something. Once again, thanks for the step by step direction. I found it more helpful than my $300 text book.

[@joshemman]

For Constraint 3, you can use X = 0, Y=4 for one point, and X = 8, Y = 4 for the other. Note that the choice of X=8 for the 2nd point is arbitrary. Just make sure Y=4 for the 2 different X values and choose your X values as desired.

[@maximus380]

Thanks Joshu! It worked. Looking forward to seeing more of your videos.

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Awesome!

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