Marginal Revenue, Average Cost, Profit, Price & Demand Function - Calculus

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  • เผยแพร่เมื่อ 2 ต.ค. 2024
  • This calculus video tutorial explains the concept behind marginal revenue, marginal cost, marginal profit, the average cost function, price and demand functions. It shows you how to find the production level to minimize the average cost so as to maximize the profit of a company.
    Derivatives - Fast Review:
    • Calculus 1 - Derivatives
    Introduction to Related Rates:
    • Introduction to Relate...
    Local Maximum & Minimum:
    • Finding Local Maximum ...
    Mean Value Theorem:
    • Mean Value Theorem
    Concavity & Inflection Points:
    • Concavity, Inflection ...
    ________________________________
    L'Hopital's Rule:
    • L'hopital's rule
    Curve Sketching With Derivatives:
    • Curve Sketching - Grap...
    Newton's Method:
    • Newton's Method
    Optimization Problems:
    • Optimization Problems ...
    Marginal Cost & Total Average Cost:
    • Marginal Cost and Aver...
    __________________________________
    Marginal Revenue and Profit:
    • Marginal Cost, Margina...
    Tangent Line Approximations:
    • Finding The Linearizat...
    Differentials & Local Linearization:
    • Differentials and Deri...
    Estimating Function Values:
    • Estimating Function Va...
    Antiderivatives:
    • Antiderivatives
    __________________________________
    Final Exams and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

ความคิดเห็น • 111

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  8 หลายเดือนก่อน +4

    Final Exams and Video Playlists: www.video-tutor.net/

    • @EthelChivonivoni.1
      @EthelChivonivoni.1 5 หลายเดือนก่อน

      for the second example when calculating the production level that will minimize average cost you made an error you used 300 000 instead of 30 000 may you clarify
      25:47

  • @PyreeMincer
    @PyreeMincer 2 ปีที่แล้ว +12

    15 minutes of this taught me more than 4 hours of class. thanks.

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    @stevejohargy1224 6 ปีที่แล้ว +284

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    • @gsusmakama
      @gsusmakama 3 ปีที่แล้ว

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    @latamara326 7 หลายเดือนก่อน

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    @acsw 10 หลายเดือนก่อน

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  • @shekinahjedgecombe3878
    @shekinahjedgecombe3878 ปีที่แล้ว +8

    Can you do a video based on 'Supply and Demand' - also explaining the process through application problems (word problems, etc) finding the supply function, demand function, equilibrium quantity and price.
    please. :)

  • @chimchimmm4477
    @chimchimmm4477 4 ปีที่แล้ว +87

    i wish you could make more videos like this specially the calculus side in Economics,it really helps me a lot as an Economics student.

    • @fortunadawit4772
      @fortunadawit4772 8 หลายเดือนก่อน +1

      @chimchimmm4477 as a fresh economics student I want your help

  • @crissy5431
    @crissy5431 7 ปีที่แล้ว +75

    Thanks so much for all of your help! I would love to see time stamps of the topics in the description to make it easier to go back to the examples on such a long video.

  • @CHILDTOONSOFFICIAL
    @CHILDTOONSOFFICIAL 9 หลายเดือนก่อน +1

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    @muhammadzohaib8462 5 ปีที่แล้ว +26

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  • @hazzyrams4663
    @hazzyrams4663 3 ปีที่แล้ว +14

    Thank you so much!!!!!!! you just helped me with my homework that I struggled to complete in like forever. You explained it so easily step by step. Just what I needed. Thank you!

  • @Darkbluenight-rv6pz
    @Darkbluenight-rv6pz 6 หลายเดือนก่อน

    This man is also an economist😮

  • @aaksdad
    @aaksdad 4 ปีที่แล้ว +10

    Thanks for the video. got a quick question @3:08... why would you chose c(x) = 5000 + 15x + 0.01x^2 . What is the reasoning behind that formula?

    • @mikoliism
      @mikoliism 2 ปีที่แล้ว

      Not sure if this helps but The 5000 is just a fixed cost and the 15x+0.01x^2 are variable costs

    • @janeyue7491
      @janeyue7491 ปีที่แล้ว

      I was thinking 15x means something that would costs 15 times as much as years comes by, but I wouldn’t know what. I was thinking when it comes to something with an x^2 on it, it got to be interest rates, because of F = P (1+ I) ^n

  • @phenyetsoleboho
    @phenyetsoleboho 4 ปีที่แล้ว +5

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  • @wajihamajid5662
    @wajihamajid5662 5 ปีที่แล้ว +10

    Thankyou so much, have my calculus exam tomorrow. This helped me!

  • @amritbhattacharjee5767
    @amritbhattacharjee5767 4 หลายเดือนก่อน +1

    Sir In the first question why did you take 5000 + 15x + 0.01x² as C(x)? Of anyone understands then please Answer.

  • @mattfoster1746
    @mattfoster1746 11 หลายเดือนก่อน

    I love your videos

  • @MC-8
    @MC-8 4 ปีที่แล้ว +8

    OMG! Your videos are clear and concise. You explain everything as you go along, so I'm never wondering how you reached a certain conclusion/number. THANK YOU SO MUCH!

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    @wrjazziel 2 ปีที่แล้ว +7

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  • @23theshadowgirl
    @23theshadowgirl 4 ปีที่แล้ว +3

    We have average cost as AC in my microeconomic book if that helps anyone.

  • @thanhyenthynguyen5287
    @thanhyenthynguyen5287 2 ปีที่แล้ว +4

    Thank you so much for your videos. I got an F on my first calculus midterm exam. But thank to your video i've figured out the way to solve related rate and cost problems.

  • @IsraelNathanael
    @IsraelNathanael 6 ปีที่แล้ว +9

    This was incredible, major help. Thank you!

  • @jaliilshugriaden
    @jaliilshugriaden 8 หลายเดือนก่อน

    You are hero

  • @DungNguyen-dj2ut
    @DungNguyen-dj2ut 2 ปีที่แล้ว

    Character In the video It's great, I like it a lot $$

  • @vinisilva3879
    @vinisilva3879 5 ปีที่แล้ว +2

    The problem regarding this kind of function is what the 0,01x^2 comes from? All equation, functions and etc, in the books mainly, have already given done, as such as magic, instead teaching is how to obtain the ^2, ^3 , etc...

  • @rwpropertymanagement8387
    @rwpropertymanagement8387 6 ปีที่แล้ว +9

    I just gotta say, God bless you!

  • @siyamthandatiso1439
    @siyamthandatiso1439 ปีที่แล้ว +1

    Never commented but I had to kow cause this man out here saving lives 😢 I would avoid this question all the time cause I thought it was complex ,I'm in awe ,God bless you sir ❤

  • @karandhami1542
    @karandhami1542 3 ปีที่แล้ว +2

    19:20 how could you take cost function?? Is that given ??

  • @eniolaolatunji-aresa4864
    @eniolaolatunji-aresa4864 3 ปีที่แล้ว +2

    Thank you for the video sir. What if we were given Cost and Price then told to find the quantity

  • @rogerroberts5529
    @rogerroberts5529 7 ปีที่แล้ว +2

    Great video to start with but you got me confused/lost at 12:33 where you divided the 0.01x over itself and over the 0.02x. If I'm not mistaken 0.02 dived by -0.01x you should get -2 and also also that the x would have cancelled each other.. but since my teacher haven't started teaching the topic I'll just wait until Tuesday to fully understand better. I'm sorry but I just cant move on futrher into the video until I can understand this matter

  • @augustinokanneh1177
    @augustinokanneh1177 3 ปีที่แล้ว +2

    I'm so grateful for you. I have learned so much from your channel, thanks

  • @rashidkhan8161
    @rashidkhan8161 2 ปีที่แล้ว

    How to convert any linear cost function into quadratic cost function, normally cost function are linear

  • @princigupta2783
    @princigupta2783 6 ปีที่แล้ว +3

    Thanks a lot... I was confused about this topic since long tym.. But now u cleared all my doubts. 😊

  • @Lineapetrela
    @Lineapetrela 5 ปีที่แล้ว +4

    i still dont understand what exatly c prime x means...

    • @gabbywambui63
      @gabbywambui63 5 ปีที่แล้ว +8

      First derivative of C(x)

  • @johnaxhelimperial274
    @johnaxhelimperial274 2 ปีที่แล้ว +1

    Does average cost and actual cost same? If not then what is actual cost?

  • @deankhan580
    @deankhan580 2 ปีที่แล้ว +1

    You literally just saved me I have a test today

  • @vennenmin123
    @vennenmin123 7 ปีที่แล้ว +6

    Thank you! Donation is on the way :)

  • @LorettaAhenkan-bi9hb
    @LorettaAhenkan-bi9hb 2 หลายเดือนก่อน

    How did you get the expression for the c(x) I'm lost

  • @sicilianotoronto
    @sicilianotoronto 6 หลายเดือนก่อน

    at 14:23, how did you know to put the +15 + 0.01 and why is that term not squared? Thanks!

  • @mertmert324
    @mertmert324 4 ปีที่แล้ว

    Thanks sir

  • @mukeremjemal8176
    @mukeremjemal8176 9 หลายเดือนก่อน

    Thanks bro may Allah protect you... And may Allah guide you. Your channel is best education channel across I saw in my life

  • @dmezzio
    @dmezzio 5 ปีที่แล้ว +2

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  • @zulaikhazakaria491
    @zulaikhazakaria491 4 ปีที่แล้ว +1

    Thanl you so much.. several hours before final and i'm watching this

  • @wenziemngoma1932
    @wenziemngoma1932 3 ปีที่แล้ว +1

    You're simply the best , thank you so much !

  • @kateenyamaarhinful1364
    @kateenyamaarhinful1364 5 ปีที่แล้ว

    please for the second example of the average cost ,instead of dividing the total cost by x=548 to get the average cost, you put it in the marginal function which makes your answer wrong .....please clarify for me ......thank you

  • @spinach7205
    @spinach7205 4 ปีที่แล้ว +2

    I really really appreciate you ❤️

  • @mugerashalifu9539
    @mugerashalifu9539 3 ปีที่แล้ว

    Given average cost function and demand function find the maximum level of total revenue help me please

  • @razasyed575
    @razasyed575 2 ปีที่แล้ว

    how do you have a video of every topic in every stem field mashallah

  • @UmarNaeem156
    @UmarNaeem156 6 ปีที่แล้ว +1

    Thanks alot man .... Hatts off to you for such a long vedio which helps out me alot

  • @Light_English_
    @Light_English_ 6 วันที่ผ่านมา

    I amwatching this in 2024 i this is the best tutorial

  • @geetanjalisahoo9855
    @geetanjalisahoo9855 5 ปีที่แล้ว

    please please answer today Arabian maximizing monopolistic was a profit of at least 1500 rupees each function is equal to 500 + 4 + 8 square and his demand function is equal to 304 - 2 cube determine is output level q and price Pinterest these values with those that would be achieved on the profit maximization

  • @nobuhledubazana1693
    @nobuhledubazana1693 2 ปีที่แล้ว

    Is it possible for A marginal cost/revenue/profit function to reach a relative extrema?

  • @nomalungelomanana1283
    @nomalungelomanana1283 3 ปีที่แล้ว +1

    tamara mulenga

  • @techundercover3899
    @techundercover3899 ปีที่แล้ว

    Isn’t the marginal cost when x=100, the cost of the 100th unit not the 101st unit

  • @AtkinKausimae
    @AtkinKausimae 8 หลายเดือนก่อน

    One of the best tutorials video. Thanks so much sir.

  • @hannahfraser5600
    @hannahfraser5600 4 ปีที่แล้ว

    Can someone work this question for me, please
    If a company invests x thousand dollars in advertising, the demand for its product will be D(x)=2000 x^2+900 x+60 items. Find the rate of change in demand with respect to advertising dollars when $1500 is spent on advertising.

    • @amiramz7869
      @amiramz7869 4 ปีที่แล้ว

      i think u derive the demand function with respect to x first and then substitute 1500 as the value x

  • @beingentrepreneur4735
    @beingentrepreneur4735 3 ปีที่แล้ว +1

    Thank you brother

  • @kentheengineer592
    @kentheengineer592 ปีที่แล้ว

    If I Give PPL Funds To Afford My Product Then I Dont Make a Profit But If I Dont Give PPL Funds To Afford My Product Then How Can I Make The Sale When No One Has The Funds

  • @benrawarg
    @benrawarg 3 ปีที่แล้ว

    To find the minimum, couldn't you just derive the function and find it's roots?

  • @_neon_bab.e5779
    @_neon_bab.e5779 4 ปีที่แล้ว +1

    really helping.......thanks

  • @hammad3101996
    @hammad3101996 7 ปีที่แล้ว +1

    It was a very informative video thank u very much it helped me a lot.

  • @ephremkinfemichael6925
    @ephremkinfemichael6925 2 ปีที่แล้ว

    how u know every subject. tnx for every thing

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    @ngoctrangnguyenthi665 2 ปีที่แล้ว

    The video sound is pretty good, beyond my imagination

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    @brianp8138 5 ปีที่แล้ว +1

    You sound like good will hunting

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    @osamahorani2747 4 ปีที่แล้ว +1

    Ahh lovely workkkkkk mann👌🏻

  • @livie398
    @livie398 2 ปีที่แล้ว

    Thank you so much. This video helps me a lot👍🏻

  • @HappyKat13luv
    @HappyKat13luv 7 ปีที่แล้ว +6

    Sorry, but you jumping around kind of really confused me a lot. The video helped with learning what all the terms meant, though. Thanks.

  • @francismuiruri3393
    @francismuiruri3393 3 ปีที่แล้ว

    wow........well understood.....thank you very much......you the best

  • @Me-yj9lh
    @Me-yj9lh 4 ปีที่แล้ว +1

    Thank YOU SO MUCH

  • @oweny6609
    @oweny6609 5 ปีที่แล้ว

    You never covered how to find the price per unit using price demand function. This confused me more.

  • @mateosingz1596
    @mateosingz1596 2 ปีที่แล้ว

    You never disappoint🤞🏾
    Thank you🙏🏾

  • @ilemonamarcelinusdominic4275
    @ilemonamarcelinusdominic4275 2 ปีที่แล้ว

    You are the best I have ever come across

  • @nayaart6373
    @nayaart6373 6 ปีที่แล้ว +1

    bro i didn't understand !!! in the first example where from u get the 5ooo and what is it !? and the 15 also what is it?! and 0.01!? can you please explain what are those numbers ! and where from u get them ?!
    i have a question which price revenue is maximized and for which price profit is maximized?
    2014 quantity 10300 unit price 15
    2015 q 8100 p 17
    2016 q 7400 p 18
    thank you

    • @rahinaaliyakubu6908
      @rahinaaliyakubu6908 2 ปีที่แล้ว

      That’s the cost function of the question.He just didn’t write in the question

  • @mansurissahaq628
    @mansurissahaq628 4 ปีที่แล้ว

    Very good sir you have really help me

  • @johnsuperhist5219
    @johnsuperhist5219 ปีที่แล้ว

    Chem tutor coming in clutch

  • @mzanziretro2036
    @mzanziretro2036 6 ปีที่แล้ว +1

    Every time when I misunderstand concepts, I check on you and walaaa! I have mastered it, all thanks to you

  • @AnkaSimurgPphoenixx
    @AnkaSimurgPphoenixx ปีที่แล้ว

    best math videos ever?

  • @ntuthukogabela7617
    @ntuthukogabela7617 2 ปีที่แล้ว

    sir u are a genius trult

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    @kerissalaptiste4933 3 ปีที่แล้ว

    You're awesome 😢🥺🥰🥰

  • @fahadali5046
    @fahadali5046 10 หลายเดือนก่อน

    Outstanding video

  • @anchi7421
    @anchi7421 4 ปีที่แล้ว

    Reveal your face...!

  • @Menna23326
    @Menna23326 25 วันที่ผ่านมา

    Thankss❤❤

  • @opokufrancis9653
    @opokufrancis9653 2 ปีที่แล้ว

    Well educative

  • @fallout6067
    @fallout6067 5 ปีที่แล้ว

    12:25 can someone explain to me why did he subtract them by 0.01x

    • @enderzebak2863
      @enderzebak2863 4 ปีที่แล้ว

      to find the x.ur moving the value to opposite side so opp becomes negative

  • @吳詩曼-h5v
    @吳詩曼-h5v 4 ปีที่แล้ว

    Thank u !!! U rescue me !!!!!

  • @mikem4481
    @mikem4481 11 หลายเดือนก่อน +1

    Ron Desantis is such a traitor

  • @samrasamra5363
    @samrasamra5363 5 ปีที่แล้ว

    Just wanna say you are a life saver

  • @geetanjalisahoo9855
    @geetanjalisahoo9855 5 ปีที่แล้ว

    revenue maximizing monopolist requires a profit of at least Rs 1500 is cost function is equal to 500 + 14 + HQ square and his demand function function is P equal to 30 4 - 2 cube determine his determine his outputlabel q and price Pinterest these values with those that would be achieved under profit maximization please answer today

  • @mineyaman9908
    @mineyaman9908 5 ปีที่แล้ว

    can you do this please???
    Answer the Question
    A firms total revenue function is given as follows,
    TR = 100Q - 2Q^2
    a. What is the demand function for the firm?
    b. Find the marginal revenue for the firm.
    c. Does this firm operate in a perfectly competitive industry? Justify this answer.
    d. At what points is total revenue maximised?
    e. If the government sets a tax equal to tQ, where t = 2, find the new revenue maximizing point?

    • @harbinveli3487
      @harbinveli3487 5 ปีที่แล้ว

      A. The demand function is equal to marginal revenue
      B. Marginal Revenue is a derivative of TR, in this case 100-4Q
      C. The maximization point is where Marginal Revenue is Equal to Marginal Cost

  • @jowbanabdullahi6363
    @jowbanabdullahi6363 6 ปีที่แล้ว

    Thanks

  • @sirbudu
    @sirbudu 6 ปีที่แล้ว

    AWESOME

  • @6thaffiliate
    @6thaffiliate 10 หลายเดือนก่อน

    About to fail a test in 15 minutes 😢

  • @zinniasultana9163
    @zinniasultana9163 6 ปีที่แล้ว

    awsm

  • @robertk4392
    @robertk4392 4 ปีที่แล้ว

    talk louder in your videos dont be scared dude

  • @H.sena1111
    @H.sena1111 5 ปีที่แล้ว

    perfect

  • @Seastric
    @Seastric 6 ปีที่แล้ว

    THANKS ALOT

  • @emilykamanja609
    @emilykamanja609 6 ปีที่แล้ว

    Thank you!