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Monopoly Profit Maximization with Calculus

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  • Опубліковано 19 сер 2024
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    I demonstrate how a monopolist maximizes profit.

КОМЕНТАРІ • 103

  • @h_j_v
    @h_j_v 3 роки тому +7

    My teacher spent about half an hour trying to show us how to do this same problem only using algebra. Thank god for calculus, those who understand it have a much easier time with this stuff.

  • @yvettezapata3947
    @yvettezapata3947 Місяць тому

    Just discovered this channel and it has helped me so much with my Economics class.

  • @ClarkKent-ew7hp
    @ClarkKent-ew7hp 5 років тому +6

    Never understood what the lecturer taught in class but this video made me understand it better.

  • @lakmalhasitha5678
    @lakmalhasitha5678 Рік тому +3

    This is a usefull video although it is 10 years past. I really appreciate this. ❤️

  • @harrycooper4939
    @harrycooper4939 9 років тому +7

    I've been looking for an explanation like this for hours, thank you so much!

  • @bluetunacult7674
    @bluetunacult7674 4 роки тому +3

    Thanks for the cleaning articulating no nonsense video. Please keep making great videos like this.

  • @kimdaniel1091
    @kimdaniel1091 7 років тому +2

    oh my lord i could hold on to my microeconomics class only thanks to your lecture. I sincerely appreciate your helps!

  • @abdyabdulahi400
    @abdyabdulahi400 2 роки тому

    I have confused how to calculate price and quantity, now I got it Thanks.

  • @DuskAndHerEmbrace13
    @DuskAndHerEmbrace13 6 років тому +11

    Hey, I didn't know Tom Cruise had started teaching microeconomics these days.

  • @Latin_American_Economic
    @Latin_American_Economic 9 років тому +2

    thank you for the video. I was having a hard time figuring out how to do the calculations and your video was very helpful. thank you :)

  • @figulapt3784
    @figulapt3784 Рік тому

    Bruhh our prof teaches this in pure algebra and it was so long!! After the exam, she taught us this calculus method -.- Nice vid btw

  • @vincentthuku3773
    @vincentthuku3773 4 роки тому +1

    I went looking for copper but I struck gold. Thanks so much.

  • @LamNguyen-df7oh
    @LamNguyen-df7oh 8 років тому +2

    Exactly what I needed! Thank you!

    • @urmilakhattri6499
      @urmilakhattri6499 6 років тому

      Do u understand this..then tell me how we calculate MC in this

  • @jubin3783
    @jubin3783 4 роки тому +1

    This was the exact stuff I was looking for
    Thanks

    • @hei9504
      @hei9504 4 роки тому

      Please could you tell.what exactly we will find in the end of this solution?

  • @benson-ml7rz
    @benson-ml7rz Рік тому

    I like the way you explain,thank you

  • @chizobaomosor1485
    @chizobaomosor1485 3 роки тому

    Beautiful and simple explanation. Bless up,❤️💛💚

  • @kolaifa
    @kolaifa 10 років тому

    Just started watching today. these videos are awesome!

  • @teecree6225
    @teecree6225 Рік тому +1

    you're the best man

  • @sushmarani7752
    @sushmarani7752 3 роки тому +1

    Explanation is good.

  • @Strusell
    @Strusell 3 роки тому

    Thanks for the excellent explanation.

  • @hauntedhouse7827
    @hauntedhouse7827 7 років тому +1

    you may have just saved my econ grade!

  • @liviantus
    @liviantus 7 років тому +4

    very usful thank you do more such prblems with calculus

  • @Ayzeeification
    @Ayzeeification 9 років тому +2

    great explanation but would have proffered if you had given the TC from the onset. caused confusion when i was attempting it

  • @fleurfr
    @fleurfr 9 місяців тому +1

    dtu attendance here

  • @funwithstudy07
    @funwithstudy07 2 роки тому +1

    Please cover application of simple derivatives...of mathematical economics..🙏🙏

  • @naomi2389
    @naomi2389 2 роки тому +1

    Thanks this is really helpful!!!

  • @elsaturner2774
    @elsaturner2774 3 роки тому

    Very very helpful. Thanks!

  • @bossnian5615
    @bossnian5615 5 років тому +2

    Thank you!

  • @alextomas6376
    @alextomas6376 8 років тому

    Thank you for this video! Very helpful!

  • @robertasalatioan
    @robertasalatioan 4 роки тому

    Very good explanantion, well done !!!

  • @isurukumara9716
    @isurukumara9716 Рік тому

    Thank very for your lesson

  • @xzotic92
    @xzotic92 8 років тому

    thanx so much for this video you are a lifesaver

  • @revelyn5530
    @revelyn5530 4 роки тому

    Thanks now i get it😍😍
    Our instructor is the worst...
    Just kidding😂

  • @jeremyberemey5026
    @jeremyberemey5026 2 роки тому +2

    How did you get 40q for MC, that was kind of brushed off

    • @NicoRobin518
      @NicoRobin518 Рік тому

      i was wondering where the 100 went

  • @AsianAesthetics
    @AsianAesthetics 5 років тому +1

    Thank you! This helped me greatly :)

  • @user-ht7wb7cc1x
    @user-ht7wb7cc1x 2 роки тому

    Thank you! Really helpful!

  • @ABGuruji
    @ABGuruji 6 років тому +5

    How you got MC=40 and MR = 400-10Q (Given formula couldn't be figured out)

    • @bettyd13
      @bettyd13 6 років тому

      A.B Guruji did you get an answer?

    • @Finner
      @Finner 6 років тому +1

      MC=40Q Because at the first of video is 100 + 20^2 Q, son, 100 derivate is zero and 20^2 Q derivate follow the derivate derivate of x^n= nx^n-1, result, 40 Q. On the another hand, 400-10Q also follow derivates rules, derivate of n = 0, and derivate nx= n.

    • @veghar7920
      @veghar7920 5 років тому

      do some calculus before microeconomics

    • @varunjashnani3120
      @varunjashnani3120 5 років тому

      U need to understand how to take derivatives before getting into such problem solving

    • @saraa4999
      @saraa4999 5 років тому

      i dont get it .. =(( @@Finner

  • @avinashkour9966
    @avinashkour9966 5 років тому

    Gud explain sir ......👍thnx

  • @Joe-nr2tb
    @Joe-nr2tb Рік тому +2

    Can someone explain me how -5q^2/q is equal -10q ?😢

    • @Syntheti
      @Syntheti Рік тому +2

      I’m not sure if you still need help but if you do:
      Since it was (400-5q)*q
      That distributes to 400q-5q²
      When you take the derivative of an exponent, you multiply the the number by the exponent(in this case the number is 5) so 2*5 and then we subtract 1 off the exponent.
      This is also why 400q becomes 400, another way to write 400q would be 400q¹ and 400q¹⁻¹ is equal to 400*1
      So the derivative would be
      1*400q ¹⁻¹-2*5q ²⁻¹ which is equal to 400-10q

  • @16_moriumaktermim4
    @16_moriumaktermim4 4 роки тому

    Thanks a lot,,it was helpful!

  • @meagain919
    @meagain919 9 років тому

    Been looking for these kinda vids ! Superduperstuff

  • @times58
    @times58 9 років тому

    Very helpful!

  • @edrodriguez4172
    @edrodriguez4172 Рік тому

    I love u so much u dont understand

  • @DioxideCad
    @DioxideCad 5 років тому +1

    You don't explain how you get a decent amount of the numbers at 3:00. found this very frustrating and not helpful at all.

  • @patriks4159
    @patriks4159 6 років тому

    awesome video bro

  • @melinaaslan9890
    @melinaaslan9890 6 років тому

    thank you so much!

  • @oyuchan1699
    @oyuchan1699 6 років тому

    it was so helpful

  • @Amitsharma-ts1uq
    @Amitsharma-ts1uq 2 роки тому

    A monopolist has cost function TC = 10 + 2Q, where TC is the total cost of producing
    Q units of output. Demand in this market is given by theequation Q = 14 - P, where P
    stands for the price. Calculate the profit that the monopolist will be making. Sir aap solve kar skte ho plz

  • @danielchisala59
    @danielchisala59 7 років тому

    great job thanks

  • @VicSMeIsTeR
    @VicSMeIsTeR 5 років тому

    Great thanks!

  • @josefloresmogollon4737
    @josefloresmogollon4737 Рік тому

    Why always in this problems use the inverse demand?

  • @timestopcollection7312
    @timestopcollection7312 4 роки тому

    Thanks ✊

  • @amittapria2940
    @amittapria2940 4 роки тому

    What happens when a monopolist invest in the advertisement to shift their demand curve? How to proceed in that case.

  • @setaliberga.e552
    @setaliberga.e552 9 років тому +1

    This is not monopoly profit maximizing calculation.
    Where is AR=P ?

  • @naomiruth7672
    @naomiruth7672 5 років тому

    thanks a lot

  • @bareerafyiaz3184
    @bareerafyiaz3184 3 роки тому

    Plz explain about TC

  • @wangrella2786
    @wangrella2786 7 років тому

    very useful, but can you explain how to charge for the price as well?

  • @heenapurswani1418
    @heenapurswani1418 4 роки тому +1

    How dtc/dQ =40Q

    • @EconomicsinManyLessons
      @EconomicsinManyLessons  4 роки тому +2

      TC = 100 + 20Q^2. The derivative of a constant, like 100, is zero. The derivative of 20Q^2 = 2(20)Q^(2-1) = 40Q. See here for more examples: ua-cam.com/video/4lZa_r3VA_o/v-deo.html

  • @naomymutuwa4387
    @naomymutuwa4387 5 років тому

    . Suppose that Intel has a monopoly in the market for computer chips. In order to produce X computer chips, it costs Intel C(X) = 2X2 . If the demand for computer chips is XD = 12 - 1.25
    . Find the level of output that maximizes Intel’s profits.
    What price is Intel charging?
    Find the marginal cost of producing a computer chip for Intel.
    What level of output would maximize total surplus in the computer chip market?
    Suppose the government knew the demand and production functions. Find a price regulation the government could impose that would induce Intel to maximize total surplus, i.e., produce the efficient quantity from part (c).
    If the government subsidized Intel s for every unit of computer chips produced, what quantity would Intel choose as a function of s? Find the choice of subsidy that maximizes total surplus, i.e., induces Intel to produce the efficient quantity from part (c).

  • @geetasachdeva7620
    @geetasachdeva7620 2 роки тому

    Sir here how u calculate this MR?

  • @bluerain5652
    @bluerain5652 4 роки тому

    What if it is producing 2 products?

  • @khalidoumer6712
    @khalidoumer6712 2 роки тому

    How did u find TC ?

  • @bareerafyiaz3184
    @bareerafyiaz3184 3 роки тому +1

    Tc is given?

  • @dynamix298
    @dynamix298 3 роки тому

    So... who else thought this was a way to get maximum profit in monopoly...

  • @cynthiaakos
    @cynthiaakos 5 років тому

    Where did the Total cost come from? Was it given or did he work it out?

  • @masterofpk1
    @masterofpk1 4 роки тому

    How does -5q^2 /q end up -10q??? I've been struggling for hours and theres nothing to explain this.

    • @EconomicsinManyLessons
      @EconomicsinManyLessons  4 роки тому +2

      Following the rules of differentiation, the derivative of Y = X^a, or dy/dx = aX^(a-1). The derivative of -5q^2 = 2(-5)q^(2-1) = -10q. This may help:ua-cam.com/video/4lZa_r3VA_o/v-deo.html

    • @masterofpk1
      @masterofpk1 4 роки тому

      @@EconomicsinManyLessons thank you very much!

    • @UncleChopChop22
      @UncleChopChop22 2 роки тому

      @@EconomicsinManyLessons thank you, I was struggling with this one too.

  • @ysngsj0765
    @ysngsj0765 Рік тому

    Where did 10Q came from?

    • @EconomicsinManyLessons
      @EconomicsinManyLessons  Рік тому +1

      The derivative of 5Q^2 is (2)5Q^(2-1) = 10Q. The exponent on Q (the 2) is multiplied by the 5 to get 10, and then you subtract 1 from the exponent to get 10Q.

  • @ttofaudishanghai
    @ttofaudishanghai 3 роки тому

    how did you come up with the equations?

    • @EconomicsinManyLessons
      @EconomicsinManyLessons  3 роки тому

      I basically made them up. I wanted an inverse linear demand of the form P = a - bQ, and I wanted the MC to be an upward sloping straight line.

  • @obaroogbaide4302
    @obaroogbaide4302 6 років тому

    how do i find profit

    • @EconomicsinManyLessons
      @EconomicsinManyLessons  6 років тому

      obaro ogbaide profit = total revenue - total cost. Total revenue = price x quantity. In this problem, total revenue is $360 × 8 = $2880. Total cost is 100 + 20Q^2, and equals 1380 when Q = 8. Profit = 2880 - 1380 = 1500.

  • @AbdulRahim-jz6gh
    @AbdulRahim-jz6gh 8 років тому

    Does anyone know how to draw this? I know how to get all the numbers I just don't know how to represent it on a graph.

  • @colour4life16
    @colour4life16 4 роки тому

    I am confuse how it's 400-10Q

    • @esthermutindi4225
      @esthermutindi4225 3 роки тому

      Am stuck there as well

    • @colour4life16
      @colour4life16 3 роки тому

      @@esthermutindi4225 we have 5Q²
      So we have to multiply 5 X 2 & Q²-¹ = 10Q
      Hope it will help you

    • @esthermutindi4225
      @esthermutindi4225 3 роки тому

      Yes. It might but my

    • @esthermutindi4225
      @esthermutindi4225 3 роки тому

      Question is different, can I type here you help plz

    • @colour4life16
      @colour4life16 3 роки тому

      @@esthermutindi4225 yeah sure it's one of the derivative formula