Monopoly Profit Maximization with Calculus

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I demonstrate how a monopolist maximizes profit.

[@harrycooper4939]

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

[@h_j_v]

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]

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

[@bluetunacult7674]

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

[@Latin_American_Economic]

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 :)

[@kolaifa]

Just started watching today. these videos are awesome!

[@kimdaniel1091]

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

[@ClarkKent-ew7hp]

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

[@LamNguyen-df7oh]

Exactly what I needed! Thank you!

[@urmilakhattri6499]

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

[@chizobaomosor1485]

Beautiful and simple explanation. Bless up,❤️💛💚

[@DuskAndHerEmbrace13]

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

[@liviantus]

very usful thank you do more such prblems with calculus

[@jubin3783]

This was the exact stuff I was looking for Thanks

[@hei9504]

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

[@alextomas6376]

Thank you for this video! Very helpful!

[@lakmalhasitha5678]

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

[@EconomicsinManyLessons]

I appreciate that! Thanks for watching!

[@abdyabdulahi400]

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

[@AsianAesthetics]

Thank you! This helped me greatly :)

[@benson-ml7rz]

I like the way you explain,thank you

[@robertasalatioan]

Very good explanantion, well done !!!

[@Strusell]

Thanks for the excellent explanation.

[@Ayzeeification]

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

[@xzotic92]

thanx so much for this video you are a lifesaver

[@elsaturner2774]

Very very helpful. Thanks!

[@bossnian5615]

Thank you!

[@user-ht7wb7cc1x]

Thank you! Really helpful!

[@wangrella2786]

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

[@naomi2389]

Thanks this is really helpful!!!

[@meagain919]

Been looking for these kinda vids ! Superduperstuff

[@vincentthuku3773]

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

[@patriks4159]

awesome video bro

[@hauntedhouse7827]

you may have just saved my econ grade!

[@melinaaslan9890]

thank you so much!

[@isurukumara9716]

Thank very for your lesson

[@times58]

Very helpful!

[@figulapt3784]

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

[@danielchisala59]

great job thanks

[@16_moriumaktermim4]

Thanks a lot,,it was helpful!

[@VicSMeIsTeR]

Great thanks!

[@teecree6225]

you're the best man

[@EconomicsinManyLessons]

I appreciate that! Thanks!

[@oyuchan1699]

it was so helpful

[@amittapria2940]

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

[@funwithstudy07]

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

[@naomiruth7672]

thanks a lot

[@timestopcollection7312]

Thanks ✊

[@revelyn5530]

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

[@avinashkour9966]

Gud explain sir ......👍thnx

[@sushmarani7752]

Explanation is good.

[@EconomicsinManyLessons]

Thank you!

[@josefloresmogollon4737]

Why always in this problems use the inverse demand?

[@bluerain5652]

What if it is producing 2 products?

[@bareerafyiaz3184]

Plz explain about TC

[@jeremyberemey5026]

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

[@NicoRobin518]

i was wondering where the 100 went

[@geetasachdeva7620]

Sir here how u calculate this MR?

[@setaliberga.e552]

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

[@ABGuruji]

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

[@bettyd13]

A.B Guruji did you get an answer?

[@Finner]

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]

do some calculus before microeconomics

[@varunjashnani3120]

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

[@saraa4999]

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

[@khalidoumer6712]

How did u find TC ?

[@fleurfr]

dtu attendance here

[@Joe-nr2tb]

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

[@Syntheti]

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

[@edrodriguez4172]

I love u so much u dont understand

[@Amitsharma-ts1uq]

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

[@kirstyoforiwaa]

The profit is 22

[@cynthiaakos]

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

[@EconomicsinManyLessons]

Total cost was just given.

[@DioxideCad]

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.

[@ttofaudishanghai]

how did you come up with the equations?

[@EconomicsinManyLessons]

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.

[@masterofpk1]

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

[@EconomicsinManyLessons]

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:kzbin.info/www/bejne/ap29kpKoaLt0ldE

[@masterofpk1]

@@EconomicsinManyLessons thank you very much!

[@UncleChopChop22]

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

[@AbdulRahim-jz6gh]

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.

[@obaroogbaide4302]

how do i find profit

[@EconomicsinManyLessons]

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.

[@heenapurswani1418]

How dtc/dQ =40Q

[@EconomicsinManyLessons]

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: kzbin.info/www/bejne/ap29kpKoaLt0ldE

[@bareerafyiaz3184]

Tc is given?

[@EconomicsinManyLessons]

TC is the total cost of producing the good. It is given in this problem.

[@ysngsj0765]

Where did 10Q came from?

[@EconomicsinManyLessons]

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.

[@naomymutuwa4387]

. 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).

[@dynamix298]

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

[@colour4life16]

I am confuse how it's 400-10Q

[@esthermutindi4225]

Am stuck there as well

[@colour4life16]

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

[@esthermutindi4225]

Yes. It might but my

[@esthermutindi4225]

Question is different, can I type here you help plz

[@colour4life16]

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