Optimization Problems EXPLAINED with Examples
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- เผยแพร่เมื่อ 28 ส.ค. 2024
- 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.
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Old title: How to Solve ANY Optimization Problem in 5 Steps with Examples
![How to Solve ANY Optimization Problem [Calc 1]](http://i.ytimg.com/vi/cUMvwG7wvzM/mqdefault.jpg)
"don't let a class get in the way."I NEEDED THAT.THANK YOU
:) You are so welcome! I'm glad our message comes across!
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 !
I'm in matric preparing for trials, I'm glad I found ur channel ❤
I have a finals tomorrow and this helped a lot!
I'm glad we were able to help! I hope your final goes well!
Please make more video in solving optimization problems, your video really helps a lot, thankyou.
I'm glad you found this video helpful! I'll try to post more videos of example problems soon!
This was really well done! I don't understand how y'all don't have more subs😩
Your comment and views help! :) Thank you for supporting!
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!
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!
ur the best bro saved me so much time
No problem man!
What is the difference between extreme value theorem and optimization ?
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.
I actually love you thank you
Thanks a lot for the video very helpful☺️
That's so great to hear! Thanks for watching!
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?
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!
Very well done, finally understand this section now👌🏻
That's great! Thank you for watching!
@@AceTutors1 Woahhh you still reply! Thanks for the awesome video fr! I have an exam tmr so this a literal life saver
@@forsakencrusader4725 That's so awesome! You are so very welcome! I hope you do well on your exam!
I'm loving it . Thank you.
Can you make a convex optimization problem as simple as this video. It is veey clear. Thanks
beautifully explained
I'm glad you think so! Thanks for watching!
Thank you ❤️
Ur amazing! Thank you sooo much
You are so very welcome! Thank you for the support! :)
thanks a lot..
You are welcome!!
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?
Great question! If you watch our video on finding Maximum and Minimums (th-cam.com/video/KTqzMHZzr9w/w-d-xo.html), you'll find 2 ways to know whether your solution is a max or min!
@@AceTutors1 thank you so much.. I'm your new sub❤️
@@AceTutors1 you're very underated
@@angelisvegan5826 that means more than you know! :)
@@AceTutors1 😄
Thank you!
Thank you for watching! :)
awesome video bro! def a lifesaver. Have a sub! :>
I appreciate that Rafael! Thanks for watching!
i am confusing 4 = x^2y why not 4 = x^2 + 4xy Thank for EXPLAINED
because he is trying to find volume which is v=lbh (base area x height) base area= X x X and height = y
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.
Thanks Kd! You're completely right!
but wouldn't it be 2x^2 since we have 2 surface areas?
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.
Why to make for x ray, constrain dose?
Hi, I'm not exactly sure what you are asking in this question. Can you ask again?
great video
Thank you!
What are the end points
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?
lovely !
Thank you! I'm glad you think so!
❤
great
Thank you for watching!
Rip those who learned calc during the pandemic
Haha learning during the pandemic was definitely rough, but that's why we're here! ;)
This is me still struggling
No doubt ...now we are like dead in basic because our basics were taught during pandemic.😢😢😢
hi mark
Hello Krystal!
❤❤❤
Ok
I luv u
Is this economics..
In this video, we explored this concept from a strictly mathematical point of view, but this topic can definitely extend to Economics as well!
Ok