Optimization Problems EXPLAINED with Examples

Learn how to solve any optimization problem in Calculus 1! This video explains what optimization problems are and a straight forward 5 step process to solve any of them. We will step through 2 very common optimization examples to help you understand and master this concept. This video utilizes skills from previous videos like derivatives, slope, concavity, maximums and minimums.
For more help, visit: theacetutors.com
For more videos/content, visit: theacetutors.com/blog
Sign up for tutoring: theacetutors.com/register
Old title: How to Solve ANY Optimization Problem in 5 Steps with Examples

Пікірлер: 71

  • @mahi-nw6ou
    @mahi-nw6ou Жыл бұрын

    "don't let a class get in the way."I NEEDED THAT.THANK YOU

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    :) You are so welcome! I'm glad our message comes across!

  • @sadiasiddique6254
    @sadiasiddique625410 ай бұрын

    Your explanation is so remarkable that I was able to solve the other example on my own. The way you broke it down into steps is commendable. Thanks a lot !

  • @user-vs2qt9kg1z
    @user-vs2qt9kg1z10 күн бұрын

    I'm in matric preparing for trials, I'm glad I found ur channel ❤

  • @zanonoza4918
    @zanonoza491811 ай бұрын

    I'm loving it . Thank you.

  • @aminamaggang1921
    @aminamaggang192111 ай бұрын

    Can you make a convex optimization problem as simple as this video. It is veey clear. Thanks

  • @joseph_4272
    @joseph_42722 жыл бұрын

    I have a finals tomorrow and this helped a lot!

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    I'm glad we were able to help! I hope your final goes well!

  • @heroshijoe
    @heroshijoe Жыл бұрын

    Please make more video in solving optimization problems, your video really helps a lot, thankyou.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    I'm glad you found this video helpful! I'll try to post more videos of example problems soon!

  • @lizc.3887
    @lizc.38872 жыл бұрын

    For the sub constraint problem, does it matter what variable you decide to solve for? Like if you solve for y instead in the first example, would that mess up the rest of the processes?

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Nope! You can solve for either of the variables! The ultimate goal is to get an objective equation that only has 1 variable in it, so that when you set it equal to 0, you can solve for that one variable. We could have solved for any variable in the constraint equation and used that to get rid of that variable in the objective equation. The math will work out the same either way!

  • @penguin_1293
    @penguin_1293 Жыл бұрын

    This was really well done! I don't understand how y'all don't have more subs😩

  • @AceTutors1

    @AceTutors1

    4 ай бұрын

    Your comment and views help! :) Thank you for supporting!

  • @isar4942
    @isar49425 ай бұрын

    I actually love you thank you

  • @Gigabrakee
    @Gigabrakee3 жыл бұрын

    ur the best bro saved me so much time

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    No problem man!

  • @null3007
    @null3007 Жыл бұрын

    Great video, it seems like making the constraint and objective equations is the key to optimization. Also I was checking through your channel and noticed you haven't uploaded in a while. Hope you're doing well!

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Hi, that's definitely the key, and I'm glad you were able to recognize that! Thanks for your comment. I have been finding it difficult to continuously post, but I just posted one today! I appreciate your support!

  • @zeroone5764
    @zeroone57643 жыл бұрын

    What is the difference between extreme value theorem and optimization ?

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    Great question Lyka! The extreme value theorem basically says that every continuous function (a function with no breaks in it) has at least 1 maximum and 1 minimum. Optimization is essentially a way to find those maximums and minimums in the context of a real-world problem.

  • @perezfono2092
    @perezfono2092 Жыл бұрын

    Thanks a lot for the video very helpful☺️

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    That's so great to hear! Thanks for watching!

  • @aarzuna3355
    @aarzuna33552 ай бұрын

    Thank you ❤️

  • @VETERANMIKHAIL
    @VETERANMIKHAIL Жыл бұрын

    Very well done, finally understand this section now👌🏻

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    That's great! Thank you for watching!

  • @forsakencrusader4725

    @forsakencrusader4725

    Жыл бұрын

    @@AceTutors1 Woahhh you still reply! Thanks for the awesome video fr! I have an exam tmr so this a literal life saver

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    @@forsakencrusader4725 That's so awesome! You are so very welcome! I hope you do well on your exam!

  • @tahliaward1962
    @tahliaward19623 жыл бұрын

    Ur amazing! Thank you sooo much

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    You are so very welcome! Thank you for the support! :)

  • @jumeannelalatafajardo5180
    @jumeannelalatafajardo51802 жыл бұрын

    Thank you!

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Thank you for watching! :)

  • @MegaVideoBusters
    @MegaVideoBusters2 жыл бұрын

    but wouldn't it be 2x^2 since we have 2 surface areas?

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Great question! It would be, however, for that question we were specifically looking at an aquarium with an open top. So we don't need to worry about the top. We just have the bottom and 4 sides to worry about.

  • @madesutakarma2736
    @madesutakarma27363 жыл бұрын

    Why to make for x ray, constrain dose?

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Hi, I'm not exactly sure what you are asking in this question. Can you ask again?

  • @naeemakbar5309
    @naeemakbar5309 Жыл бұрын

    beautifully explained

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    I'm glad you think so! Thanks for watching!

  • @chiranjeebdas709
    @chiranjeebdas709 Жыл бұрын

    thanks a lot..

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    You are welcome!!

  • @rafaelmontano9561
    @rafaelmontano95613 жыл бұрын

    awesome video bro! def a lifesaver. Have a sub! :>

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    I appreciate that Rafael! Thanks for watching!

  • @ourybah7633
    @ourybah76333 жыл бұрын

    great video

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    Thank you!

  • @angelisvegan5826
    @angelisvegan58263 жыл бұрын

    But how would you know if it's maximum or minimum?? Like for eg , my boss wanted me to minimize the cost of production..but what i did was maximize the cost .. Won't he/she be angry on me?

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    Great question! If you watch our video on finding Maximum and Minimums (kzread.info/dash/bejne/fYil3K-Bit3Yado.html), you'll find 2 ways to know whether your solution is a max or min!

  • @angelisvegan5826

    @angelisvegan5826

    3 жыл бұрын

    @@AceTutors1 thank you so much.. I'm your new sub❤️

  • @angelisvegan5826

    @angelisvegan5826

    3 жыл бұрын

    @@AceTutors1 you're very underated

  • @AceTutors1

    @AceTutors1

    3 жыл бұрын

    @@angelisvegan5826 that means more than you know! :)

  • @angelisvegan5826

    @angelisvegan5826

    3 жыл бұрын

    @@AceTutors1 😄

  • @mattyisagopher8407
    @mattyisagopher84072 жыл бұрын

    What are the end points

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Hi! Could you please expand a bit on your question? Are you asking in terms of one of the examples in the video? Or in general?

  • @dontcall-911-4
    @dontcall-911-42 жыл бұрын

    lovely !

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Thank you! I'm glad you think so!

  • @sattayakongkom8222
    @sattayakongkom82222 жыл бұрын

    i am confusing 4 = x^2y why not 4 = x^2 + 4xy Thank for EXPLAINED

  • @Kd-en4ys

    @Kd-en4ys

    2 жыл бұрын

    because he is trying to find volume which is v=lbh (base area x height) base area= X x X and height = y

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Great question! The comment from Kd is actually completely right! We are trying to find the volume at that step with is length x width x height.

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Thanks Kd! You're completely right!

  • @alrzhr
    @alrzhr2 жыл бұрын

    great

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Thank you for watching!

  • @mfaryadabdulmajeed789
    @mfaryadabdulmajeed7899 ай бұрын

  • @mfaryadabdulmajeed789
    @mfaryadabdulmajeed7899 ай бұрын

    ❤❤❤

  • @zs-wd4yi
    @zs-wd4yi2 жыл бұрын

    Rip those who learned calc during the pandemic

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    Haha learning during the pandemic was definitely rough, but that's why we're here! ;)

  • @jack45597

    @jack45597

    Жыл бұрын

    This is me still struggling

  • @binthawa3510

    @binthawa3510

    3 ай бұрын

    No doubt ...now we are like dead in basic because our basics were taught during pandemic.😢😢😢

  • @krystalsarria8887
    @krystalsarria8887 Жыл бұрын

    hi mark

  • @AceTutors1

    @AceTutors1

    Жыл бұрын

    Hello Krystal!

  • @maak289
    @maak2893 ай бұрын

    I luv u

  • @leonaphoria6169
    @leonaphoria61692 жыл бұрын

    Is this economics..

  • @AceTutors1

    @AceTutors1

    2 жыл бұрын

    In this video, we explored this concept from a strictly mathematical point of view, but this topic can definitely extend to Economics as well!