Everytime I am in a deep state of hopelessness and helplessness I go on youtube as my last resort, look up the subject, and you're there. Truly a blessing.
I've been watching your videos since I was still in my junior high school. Your videos helped me a lot. When we are required to report in mathematics and chemistry, I always see your videos for reference. So thank you so much! I was able to graduate with good grades in both subjects because of your teachings! Now, I am currently studying in college, taking up Bachelor of Science in Accountancy. We have a course which tackles about linear programming. When our professor taught this to us, I haven't had any slightest idea. So, here i am, seeking for your videos just to understand our lessons. Thank you so much, The Organic Chemistry Tutor for being there for us students, who are struggling with our mathematical problems! Please continue doing this. You're really awesome
Mate your voice just makes me calm down. I don't know how I always end up with your videos and you know what ? the way you teach is better than 3 hours class of my ave 55 years old professors... Thank you mate.. I just owe you a lot.
There are no words to describe how much I appreciate your videos man, you have helped me understand concepts at a much deeper level than anyone that has ever explained anything to me. Thank you
@@muhammadhaziq3787 -9 is used for the elimination method of the two equation by multiplying first equation by -9 in order for us to eliminate R and calculate T
Excellent video, as are all of your videos. The only changes that I would make for problem #1 is to incorporate the cost into the objective function [(20-5)B + (18-4)C = 15B + 14C], and to round down the calculator figure to 1472 (since you cannot produce more than 1472.73 calculators). Explanation and presentation was excellent and very straightforward, much appreciated!
I was thinking the same thing. But then again we are rounding down the books as well. So we can choose to round one of the two to upwards as long as the end values we get do not break the inequality. If we put in the values of C=1473 and B=4221. We get 26997
Thanks!!!!! I'm a spanish native speaker, but there are no maths tutorials as explicit as yours in spanish. I understood it better with you. Thank you so so so much!!!!!!
You sir, are a lifesaver. I was having trouble understanding this concept in my Algebra 2 class, but you explained it better in 30 minutes than my teacher could in over an hour. I have a test on this in a hour...let's hope this goes well :/
I love how much simpler this is compared to my teachers explaining it. Funny since they spent a whole unit over explaining PEMDAS and other basic algebra so it's not like they don't know how to explain it. But as soon as we get to new info they just glide threw it. Even when doing examples the explanations make no sense and the lecturer just mumbles through them 🤦♀️😒 I was about ready to rip my hair out, so thank you for this
Honestly this dude know anything and everything. In my hardest situations you are so helpful and every tough content to me is so simple for your. I rather prefer to watch you tutorials than others for my Time management. Helping me from my Grade 11&12 and I'm now studying in one of the top universities in the country and confidently compliment that this guy deserves everything
Thank you very much for this, got Advanced Numerical Methods II examination for my Masters Program today, and this video cleared the linear programming aspect of it. I'll go attempt the assignment now having solved your second question on my own before watching the rest of the video.
For books and calculators: Good approach, although the objective is to maximise profit, not sales (which you end up doing, but the long way). (1) Possible improvements: (a) Objective: MAX[Profit] = MAX[B*(20 -5) + C*(18-4) = B*15 + C*14] will get you to the answer faster in your table. (b) Always round down any number of item produced to the nearest unit you come across. If you consider continuous production, leave the decimals because the fraction not produced in one month is picked up by the next month. That said, the practice is to round down for each period. (c) Calculate for 28, 29, 30 and 31-day months. (2) Your conclusions on profit (and also number of items) are incorrect: (a) Using your numbers: Total costs = 4,221*5 + 1,473*4 = 26,997, not 27,000 (27,000 is the maximum limit allowed, not the maximum imposed). Thus, profit = 83,937 (not 83,934). (b) If the optimum solution requires rounding down the number of calculators to 1,472, this liberates a few minutes that can be used to produce 1 extra book, whilst still satisfying the time and maximum cost constraints. Thus, maximum profit = 83,938, achieved with: 4,222 books + 1,472 calculators; 43,190 minutes of production; total costs of 26,998; sales of 110,936 and cost of 26,998.
To be sincere, lectures in this channel really help me in school,oh , I wish I had this kind of teacher in high school,I could have gone higher than this in math,yet, thank for always sharing, bravo!!!!!
You are my favorite Math teacher . Thanks for being very clear in your method . It saves us a lot . Please do for us a lot of videos on finance math, its where I major and struggle lots of time.
MR. Organic Chemistry Tutor, thank you for a clear and level plain video/lecture on Linear Programming. There are courses at the undergraduate and graduate level on Linear Programming for all students in different areas of study. Linear Programming has many applications in real life.
nice video, i think a small correction you should make is to incorporate the cost into your calculations while doing them, because sometimes you are constraint by the time and not by the cost, you get the right number of units to make but you are calculating the profit wrong, for example 2 you are making 20 tables which cost you in total 300$ and not 315$ (20*15), so you're profit is 1500$ and not 1485$, this would have been avoided if you had (T75 + R135) for profit calculation. also another thing with exercise one, it wasn't clear if we are using the same machine for both books and calculators (logically that wouldn't make sense for obvious reasons) but we solve it assuming that is the case.
You are a life saver, great video! Btw, it's the first time I ever saw a video with 5k+ likes and 0 dislikes. It's very indicative of how good your work is. Thank you so much for this!
Excellent video! However, I noticed that for the books and calculators question, 4222 books & 1472 calculators is the optimal solution, giving a profit of $83938 instead of the $83934 in the video (which itself should be $83937 based on the correct formula). Explanation below: This is because we need to consider the objective function as maximising profit, not sales. This gives P(B,C) = (20-5) B + (18-4) C = 15B + 14C , which returns the correct answer of 4222 books & 1472 calculators. Hope this helps! If I'm wrong, please feel free to correct me :)
man I've only watched 7 minutes of it and made sense of it more than my 90 whole minutes spent feeling dumb and idiotic in class because a teacher couldn't teach ... thanks man, now imma go watch some more of this
I think the cost price should always be calculated so that it can be found Like when he makes 20 tables and 0 rocking chairs His manufacturing cost is 300$ not 315$ But I really appreciate your videos you make things so easy
At 22:38, i've made the third line of the graph thingy B = 4222 and C = 1472 so the Sales was 110936 and profit more than the number given on the lecture so if anyone that has made the same result, you're not wrong, i think it's even a more correct answer since it'll maximize the profit.
32:55 his actual profit is $1500 since he is time constrained out of making more than 20 tables. 20 tables at $15 is 300 not 315. This is the reason why you set the inequality to less than or equal to $315. . Also, maximizing sales (revenue) isn't the same as maximizing profit (revenue - cost), so in the question that asks for profit maximization you should really set your objective to profit maximization.
I like your channel because you don't disappoint...you are my first maths channel on RUclips ..I love your channel so much thanks for all the videos, they are helpful
When multiplying an inequality with a negative number, it changes the sign from < to > and vice versa. Unless you assumed it to be an equality, the eliminations were wrong.
Thank you JG for making this detail and helpful video, you have no idea how much you have help so many students and learner from worldwide. A great thank! from Singapore. Keep the passion...
Thank you very much....it was so helpful. I have my paper tomorrow and this was the only chapter i couldn't understand...now it's clear...thank you veryyyyy muchhh
Final Exams and Video Playlists: www.video-tutor.net/
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In this video, when you were calculating the intercept why did you use -9 to calculate the first constraint?
if it wasn't for this beautiful man I wouldn't have passed my classes
I swear this guy has a video on everything!
😂😂😂
He's really good...he's been helpful since I started university in 2018..once I have exam or test..I come here straight away
Fr 🥺
@@ganiyuismail4038 what's your major?
Like bruh. Does he know everything?
Clear and concise, unlike my prof, saying useless stuff all the time and make 15 min concept into 2h lecture
Everytime I am in a deep state of hopelessness and helplessness I go on youtube as my last resort, look up the subject, and you're there. Truly a blessing.
Frrrr
Man be saving lives
I've been watching your videos since I was still in my junior high school. Your videos helped me a lot. When we are required to report in mathematics and chemistry, I always see your videos for reference. So thank you so much! I was able to graduate with good grades in both subjects because of your teachings! Now, I am currently studying in college, taking up Bachelor of Science in Accountancy. We have a course which tackles about linear programming. When our professor taught this to us, I haven't had any slightest idea. So, here i am, seeking for your videos just to understand our lessons. Thank you so much, The Organic Chemistry Tutor for being there for us students, who are struggling with our mathematical problems! Please continue doing this. You're really awesome
quantitative management is a pain in the ass, less painful compared to accounting tho hope you are doing well
Mate your voice just makes me calm down. I don't know how I always end up with your videos and you know what ? the way you teach is better than 3 hours class of my ave 55 years old professors... Thank you mate.. I just owe you a lot.
We all do
There are no words to describe how much I appreciate your videos man, you have helped me understand concepts at a much deeper level than anyone that has ever explained anything to me. Thank you
why is on 28:41 , why we have to *-9, where does the -9 come from?? can someone explain to me?
@@muhammadhaziq3787 -9 is used for the elimination method of the two equation by multiplying first equation by -9 in order for us to eliminate R and calculate T
Are there videos on linear maps, linear vector spaces...?
@@perezfono2092 how do you know what number to use for elimination?
Excellent video, as are all of your videos. The only changes that I would make for problem #1 is to incorporate the cost into the objective function [(20-5)B + (18-4)C = 15B + 14C], and to round down the calculator figure to 1472 (since you cannot produce more than 1472.73 calculators). Explanation and presentation was excellent and very straightforward, much appreciated!
Same
yes, you're supposed to round down
I was thinking the same thing. But then again we are rounding down the books as well. So we can choose to round one of the two to upwards as long as the end values we get do not break the inequality.
If we put in the values of C=1473 and B=4221. We get 26997
@@masterdementer he made a mistake, he would check for b=4222 and c=1472 these values gives the maximum sales.We cannot round the values how we wish.
Thanks!!!!! I'm a spanish native speaker, but there are no maths tutorials as explicit as yours in spanish. I understood it better with you. Thank you so so so much!!!!!!
you’ve got a gift, two well paid professors couldn’t convey this concept as clearly as you have. Thanks!
You sir, are a lifesaver. I was having trouble understanding this concept in my Algebra 2 class, but you explained it better in 30 minutes than my teacher could in over an hour.
I have a test on this in a hour...let's hope this goes well :/
I love how much simpler this is compared to my teachers explaining it. Funny since they spent a whole unit over explaining PEMDAS and other basic algebra so it's not like they don't know how to explain it. But as soon as we get to new info they just glide threw it. Even when doing examples the explanations make no sense and the lecturer just mumbles through them 🤦♀️😒 I was about ready to rip my hair out, so thank you for this
Thank you so so much!!! Linear programing is 30% of my grade and I was not understanding the professor's lecture at all! You explained it so well!
wish, i had a teacher like you, i wouldnt be as scared of maths as i am now.
You have Google now and RUclips videos
@@jackeroo75 and desmos
why is on 28:41 , why we have to *-9, where does the -9 come from?? can someone explain to me?
you are the goat. 6 years later and this is still the best video about this particular concept on the internet.
Honestly this dude know anything and everything. In my hardest situations you are so helpful and every tough content to me is so simple for your. I rather prefer to watch you tutorials than others for my Time management.
Helping me from my Grade 11&12 and I'm now studying in one of the top universities in the country and confidently compliment that this guy deserves everything
Thank you very much for this, got Advanced Numerical Methods II examination for my Masters Program today, and this video cleared the linear programming aspect of it. I'll go attempt the assignment now having solved your second question on my own before watching the rest of the video.
Pov: your exam is tomorrow
POV your exam is in 30 min
😂😂😂😂😂
Pov: 45 minutes until your final
I relate😅
Yes bro😂
For books and calculators: Good approach, although the objective is to maximise profit, not sales (which you end up doing, but the long way).
(1) Possible improvements:
(a) Objective: MAX[Profit] = MAX[B*(20 -5) + C*(18-4) = B*15 + C*14] will get you to the answer faster in your table.
(b) Always round down any number of item produced to the nearest unit you come across. If you consider continuous production, leave the decimals because the fraction not produced in one month is picked up by the next month. That said, the practice is to round down for each period.
(c) Calculate for 28, 29, 30 and 31-day months.
(2) Your conclusions on profit (and also number of items) are incorrect:
(a) Using your numbers: Total costs = 4,221*5 + 1,473*4 = 26,997, not 27,000 (27,000 is the maximum limit allowed, not the maximum imposed). Thus, profit = 83,937 (not 83,934).
(b) If the optimum solution requires rounding down the number of calculators to 1,472, this liberates a few minutes that can be used to produce 1 extra book, whilst still satisfying the time and maximum cost constraints. Thus, maximum profit = 83,938, achieved with: 4,222 books + 1,472 calculators; 43,190 minutes of production; total costs of 26,998; sales of 110,936 and cost of 26,998.
Total agree with you about the objective function. I used B*15 + C*14
you are an hero. wow you just rescued me from depression .
POV: Your test is in 30 minutes, and the video is 33 minutes.
how did the exam go
Same 😭
Starting 3 hours before my final for that exact reason lol 😂
That means you need to watch at 1.5x
You’re cooked
THANK YOU SO MUCH for this now I can say I can do word problems of linear programming 🥀 Much love from Tanzania 🇹🇿
Your teaching skills is unmatched. If you were most college tutors, college would have been just a year instead of 4 years.
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I would have come sooner, but it's better late than never
This guy makes everything about Math looks easy. Thanks a lot. I've learned lots of things.
Thank you so much I finally understand linear programming and I think I can actually do it well for my exam tomorrow.
did it go well?
@@MrrDecembrist bro you're asking someone if a random exam went well 1.5 years after it was taken
@@suvangoda7773 we wanna kno
Yo how's your exam buddy
@@justyourtypicalhamster5046 ok hamster
I'm Tanzanian but this is my favourite channel I love this channel
Thank you from South Africa, God bless you
Thank you very much:)) i was having a hard time understanding this lesson till i found this. keep up the good work.
To be sincere, lectures in this channel really help me in school,oh , I wish I had this kind of teacher in high school,I could have gone higher than this in math,yet, thank for always sharing, bravo!!!!!
I need to send you a copy of your Bachelors of IT degree when I am done. You have helped me in most of my subjects!
You are my favorite Math teacher . Thanks for being very clear in your method . It saves us a lot . Please do for us a lot of videos on finance math, its where I major and struggle lots of time.
thank you so much, i wish you were my lecturer. I needed this to complete my online tutorial quizzes.. God bless you man!
MR. Organic Chemistry Tutor, thank you for a clear and level plain video/lecture on Linear Programming. There are courses at the undergraduate and graduate level on Linear Programming for all students in different areas of study. Linear Programming has many applications in real life.
This guy has helped me pass grade 5,6,7,8 and 9
Very helpful right now. I understand it. From Philippines
You make things so simple that a lot of reputed university professors can't. Props to you.
I doff my cap for you. I have been following you from freshman year. Thank you so much
as always, you're a lifesaver!! i'm having a math exam in like 30 minutes while watching this 😔👏🏼
you are my saviour for my First Semester in College ( Actuarial Science)
The fuck is actuarial science?
This is the most beautiful explanation I've ever seen
nice video, i think a small correction you should make is to incorporate the cost into your calculations while doing them, because sometimes you are constraint by the time and not by the cost, you get the right number of units to make but you are calculating the profit wrong, for example 2 you are making 20 tables which cost you in total 300$ and not 315$ (20*15), so you're profit is 1500$ and not 1485$, this would have been avoided if you had (T75 + R135) for profit calculation.
also another thing with exercise one, it wasn't clear if we are using the same machine for both books and calculators (logically that wouldn't make sense for obvious reasons) but we solve it assuming that is the case.
You are a life saver, great video!
Btw, it's the first time I ever saw a video with 5k+ likes and 0 dislikes. It's very indicative of how good your work is.
Thank you so much for this!
why is on 28:41 , why we have to *-9, where does the -9 come from?? can someone explain to me?
Excellent video!
However, I noticed that for the books and calculators question, 4222 books & 1472 calculators is the optimal solution, giving a profit of $83938 instead of the $83934 in the video (which itself should be $83937 based on the correct formula).
Explanation below:
This is because we need to consider the objective function as maximising profit, not sales.
This gives P(B,C) = (20-5) B + (18-4) C = 15B + 14C , which returns the correct answer of 4222 books & 1472 calculators.
Hope this helps!
If I'm wrong, please feel free to correct me :)
i got the same answer bro
so you basically have to try out rounding up books and rounding down calculators as well as rounding down books and rounding up the calculators
Thank you, my current chapter is this. My professor's videos are awful. This is easy to follow, understand, and, most importantly, I am engaged.
Thank you so much for clearing the concepts!!🙏
I love you man .Thank you for explaining perfectly.
man I've only watched 7 minutes of it and made sense of it more than my 90 whole minutes spent feeling dumb and idiotic in class because a teacher couldn't teach ... thanks man, now imma go watch some more of this
I’m so happy for finding his channel! He’s so hardworking! ❤
19:17
Why wasnt the 4221.6 changed to 4222 bcs of rounding? like the C was?
I think the cost price should always be calculated so that it can be found
Like when he makes 20 tables and 0 rocking chairs
His manufacturing cost is 300$ not 315$
But I really appreciate your videos you make things so easy
Daytime: Watch these vids to learn
Nighttime: Watch these vids with his soothing voice to sleep
At 22:38, i've made the third line of the graph thingy B = 4222 and C = 1472 so the Sales was 110936 and profit more than the number given on the lecture so if anyone that has made the same result, you're not wrong, i think it's even a more correct answer since it'll maximize the profit.
saw this chapter in the book didnt understand searched it found that this guy has a video became a master at it
32:55 his actual profit is $1500 since he is time constrained out of making more than 20 tables. 20 tables at $15 is 300 not 315. This is the reason why you set the inequality to less than or equal to $315.
.
Also, maximizing sales (revenue) isn't the same as maximizing profit (revenue - cost), so in the question that asks for profit maximization you should really set your objective to profit maximization.
I was just scrolling through the comments to see if anyone else noticed...
@@jeffreymoses5450 yes I was also
yeah precisely sales maximization is revenue whereas profit is actually subtracted from cost
Yes man I was going to say the same thing
scrolled down for ages looking for this comment
I like your channel because you don't disappoint...you are my first maths channel on RUclips ..I love your channel so much thanks for all the videos, they are helpful
How has he taught me more for my maths test in 2 days than my lecturer has in 1 semester.
Wow, you make Math look so simple. Thanks a million 👌👏👏
i am ashamed but grateful to be watching this video as a college student, gods work
What a savior. Thank you man.
God Bless you my brother! You explained in an awesome way!
I just love this guy. He makes it so easy
I wish you all the best man. And thank you a lit for helping to save my academic comeback
You are fabulous, I am gonna send this video to my classmates, they are gonna love it :)
When multiplying an inequality with a negative number, it changes the sign from < to > and vice versa.
Unless you assumed it to be an equality, the eliminations were wrong.
was looking for this comment, +1
Thankyou bro! You saved my ass in Maths Applications!
Thanks sir it's an honour to watch your class
Such a good explaination. It's better than the one who teach me first.
The knowledge per dollar here is the best
Better than what am paying for
Thank you JG for making this detail and helpful video, you have no idea how much you have help so many students and learner from worldwide. A great thank! from Singapore. Keep the passion...
thank you to present linear programming tutorial
When understanding matters.... watch this channel 👏👏🙏
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Had the hardest time trying to understand this. Thank you so much
Thank you so much. This is really helpful ♥️
At 29:30 please where did the negative 9 come from
Where did you get -9 to solve the contraints from the problem nu# 2..
This helped me a lot as I'm writing test in an hour and I missed the entire week of classes
My teacher started this 2 days ago and we have the test tomorrow..
Ur my life saver
22:32 but why don't we calculate the amount it cost to make the calculator and books since we rounded off some values
Thank you very much....it was so helpful. I have my paper tomorrow and this was the only chapter i couldn't understand...now it's clear...thank you veryyyyy muchhh
FINALLY! Thanks to your wonderful breakdown and practice examples, I get it!! Thank you SO much
why is on 28:41 , why we have to *-9, where does the -9 come from?? can someone explain to me?
wow you make learning fun, thank you! I really needed help understanding this and now im not worried about my midterm! THANK YOU!!