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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
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
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.
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
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.
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!!!!!!
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
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 :/
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
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.
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.
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.
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!!!!!
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
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.
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 $83937 based on the correct formula). Explanation below: This is because we need to consider the objective function as maximising profit, not sales. This gives P(B,C) = (20-5) B + (18-4) C = 15B + 14C , which returns the correct answer of 4222 books & 1472 calculators. Hope this helps! If I'm wrong, please feel free to correct me :)
You are a life saver, great video! Btw, it's the first time I ever saw a video with 5k+ likes and 0 dislikes. It's very indicative of how good your work is. Thank you so much for this!
Thank you JG for making this detail and helpful video, you have no idea how much you have help so many students and learner from worldwide. A great thank! from Singapore. Keep the passion...
I like your channel because you don't disappoint...you are my first maths channel on RUclips ..I love your channel so much thanks for all the videos, they are helpful
I think the cost price should always be calculated so that it can be found Like when he makes 20 tables and 0 rocking chairs His manufacturing cost is 300$ not 315$ But I really appreciate your videos you make things so easy
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.
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.
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
Thanks for your video. Given an objective function Q=U1 r + U2 = K where U1 and U2 are no known, the value Z, r, K are known. Also, the constraint is: 1< U1 < N where N is a known value. Is there an easy way to solve this without iterations. In fact there is no explicit optimization requirement here. Also what do we call such an equation? Thanks much for your help.
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.
I've been watching your video tutorial since 2019, I really understand every concept of your video, can i have a request ? Do some tutorials about the simplex method: Big m techniques and Two phases method?
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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
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@@ganiyuismail4038 what's your major?
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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
Clear and concise, unlike my prof, saying useless stuff all the time and make 15 min concept into 2h lecture
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?
Pov: your exam is tomorrow
POV your exam is in 30 min
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Pov: 45 minutes until your final
I relate😅
Yes bro😂
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.
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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?
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.
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
you’ve got a gift, two well paid professors couldn’t convey this concept as clearly as you have. Thanks!
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!!!!!!
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!
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
If only our math teacher provided us with videos like this, I could've passed the all of the exams.
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 :/
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
this guy is a savior. i am watching the full ads for him. it's not that much, but it is a honest work.
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
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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.
This guy makes everything about Math looks easy. Thanks a lot. I've learned lots of things.
This guy saves lives worldwide🔥 respect
THANK YOU SO MUCH for this now I can say I can do word problems of linear programming 🥀 Much love from Tanzania 🇹🇿
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 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
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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.
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!!!!!
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.
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
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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.
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 $83937 based on the correct formula).
Explanation below:
This is because we need to consider the objective function as maximising profit, not sales.
This gives P(B,C) = (20-5) B + (18-4) C = 15B + 14C , which returns the correct answer of 4222 books & 1472 calculators.
Hope this helps!
If I'm wrong, please feel free to correct me :)
i got the same answer bro
so you basically have to try out rounding up books and rounding down calculators as well as rounding down books and rounding up the calculators
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why is on 28:41 , why we have to *-9, where does the -9 come from?? can someone explain to me?
Thank you JG for making this detail and helpful video, you have no idea how much you have help so many students and learner from worldwide. A great thank! from Singapore. Keep the passion...
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why is on 28:41 , why we have to *-9, where does the -9 come from?? can someone explain to me?
You are gifted man!
I think the cost price should always be calculated so that it can be found
Like when he makes 20 tables and 0 rocking chairs
His manufacturing cost is 300$ not 315$
But I really appreciate your videos you make things so easy
Thanks for your videos sir , it really exposed me to a lot of things I don't even know.
I just aced my classes thanks to you
Bro you are a freaking life saver
i am ashamed but grateful to be watching this video as a college student, gods work
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
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
bro thanks your really
helped me with just 30 min
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
Thank you I needed this before my programming camp :)
How did it go
@@isaiahokara6362 it actually starts Wednesday since I live in Canada and summer break only started a few days ago. I’ll keep you in touch though :)
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Thank you man!
Thanks for your video. Given an objective function Q=U1 r + U2 = K where U1 and U2 are no known, the value Z, r, K are known. Also, the constraint is: 1< U1 < N where N is a known value. Is there an easy way to solve this without iterations. In fact there is no explicit optimization requirement here. Also what do we call such an equation? Thanks much for your help.
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.
Thanks alot you have helped me alot, and I understand you better and clearly. Please can I request for a fundamental non linear programming tutorial?
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Thank you! ❤️ i wish i had a teacher like you..
I've been watching your video tutorial since 2019, I really understand every concept of your video, can i have a request ? Do some tutorials about the simplex method: Big m techniques and Two phases method?