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.
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.
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
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
@@henriettaiwuji Sorry if this is late, 100+20q^2 would be 40q When you take the derivative of a number without a variable (100) you just get rid of it. Since the derivative is the rate of change, since there is no variable there is no change so you can just ignore it. So after that we would just multiply the 20*2 to get 40 and subtract 1 off the exponent to get 40q^1 or 40q.
. 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).
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:th-cam.com/video/4lZa_r3VA_o/w-d-xo.html
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.
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: th-cam.com/video/4lZa_r3VA_o/w-d-xo.html
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.
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.
Never understood what the lecturer taught in class but this video made me understand it better.
I've been looking for an explanation like this for hours, thank you so much!
Thanks for the cleaning articulating no nonsense video. Please keep making great videos like this.
Just discovered this channel and it has helped me so much with my Economics class.
This is a usefull video although it is 10 years past. I really appreciate this. ❤️
I appreciate that! Thanks for watching!
oh my lord i could hold on to my microeconomics class only thanks to your lecture. I sincerely appreciate your helps!
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 :)
I'm the only from india here and thanks a lot sir it means a lot more for me in my exam time
I have confused how to calculate price and quantity, now I got it Thanks.
Just started watching today. these videos are awesome!
This was the exact stuff I was looking for
Thanks
Please could you tell.what exactly we will find in the end of this solution?
Exactly what I needed! Thank you!
Do u understand this..then tell me how we calculate MC in this
Hey, I didn't know Tom Cruise had started teaching microeconomics these days.
great explanation but would have proffered if you had given the TC from the onset. caused confusion when i was attempting it
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.
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
I went looking for copper but I struck gold. Thanks so much.
I like the way you explain,thank you
Beautiful and simple explanation. Bless up,❤️💛💚
Thanks for the excellent explanation.
very usful thank you do more such prblems with calculus
you're the best man
I appreciate that! Thanks!
How did you get 40q for MC, that was kind of brushed off
i was wondering where the 100 went
Thank you! This helped me greatly :)
Thank you for this video! Very helpful!
Very good explanantion, well done !!!
Explanation is good.
Thank you!
Thanks this is really helpful!!!
you may have just saved my econ grade!
thanx so much for this video you are a lifesaver
How you got MC=40 and MR = 400-10Q (Given formula couldn't be figured out)
A.B Guruji did you get an answer?
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.
do some calculus before microeconomics
U need to understand how to take derivatives before getting into such problem solving
i dont get it .. =(( @@Finner
Please cover application of simple derivatives...of mathematical economics..🙏🙏
Very very helpful. Thanks!
Thank you! Really helpful!
What happens when a monopolist invest in the advertisement to shift their demand curve? How to proceed in that case.
very useful, but can you explain how to charge for the price as well?
Gud explain sir ......👍thnx
Thank very for your lesson
Been looking for these kinda vids ! Superduperstuff
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
The profit is 22
Thanks a lot,,it was helpful!
awesome video bro
Thank you!
Why always in this problems use the inverse demand?
Can someone explain me how -5q^2/q is equal -10q ?😢
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
@@Syntheti Hi, thank you for breaking this down. Could you please do the same for the TC function - 100 + 20Q^2?
@@henriettaiwuji Sorry if this is late,
100+20q^2 would be 40q
When you take the derivative of a number without a variable (100) you just get rid of it. Since the derivative is the rate of change, since there is no variable there is no change so you can just ignore it. So after that we would just multiply the 20*2 to get 40 and subtract 1 off the exponent to get 40q^1 or 40q.
Very helpful!
This is not monopoly profit maximizing calculation.
Where is AR=P ?
. 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).
What if it is producing 2 products?
Plz explain about TC
Sir here how u calculate this MR?
Where did the Total cost come from? Was it given or did he work it out?
Total cost was just given.
Thanks now i get it😍😍
Our instructor is the worst...
Just kidding😂
How did u find TC ?
it was so helpful
thank you so much!
How does -5q^2 /q end up -10q??? I've been struggling for hours and theres nothing to explain this.
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:th-cam.com/video/4lZa_r3VA_o/w-d-xo.html
@@EconomicsinManyLessons thank you very much!
@@EconomicsinManyLessons thank you, I was struggling with this one too.
Tc is given?
TC is the total cost of producing the good. It is given in this problem.
great job thanks
how did you come up with the equations?
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.
dtu attendance here
Great thanks!
Thanks ✊
Where did 10Q came from?
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.
So... who else thought this was a way to get maximum profit in monopoly...
How dtc/dQ =40Q
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: th-cam.com/video/4lZa_r3VA_o/w-d-xo.html
how do i find profit
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.
I am confuse how it's 400-10Q
Am stuck there as well
@@esthermutindi4225 we have 5Q²
So we have to multiply 5 X 2 & Q²-¹ = 10Q
Hope it will help you
Yes. It might but my
Question is different, can I type here you help plz
@@esthermutindi4225 yeah sure it's one of the derivative formula
thanks a lot
I love u so much u dont understand
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.