Calculus & Microeconomic Models: First Order Condition & Second Order Condition

This video explains how to use calculus to solve a microeconomic model. We go over the first order condition and second order condition, and solve the time studying model. The basics.
Link to my course on microeconomic modelling: ashley-s-site-9d78.thinkific....
A microeconomic modeling video.
0:00 - Set up of model
1:35 - Graphical depiction
3:25 - Why we need a 2nd Order Condition
3:58 - First order condition / Tangent = 0
6:05 - Marginal cost = marginal benefit
7:45 - Taking the 2nd Order Condition

Пікірлер: 17

  • @anthonyyacub
    @anthonyyacub3 жыл бұрын

    Thank you very much! Wish you were the Prof in my class. We wasted 45 min and everyone was still confused.

  • @stevenfeldstein6224
    @stevenfeldstein62243 жыл бұрын

    Great video! Follow up questions: 1. What if the student wants to get the 4.0? Is that like revenue maximization? According to the model here it’s almost as if it’s not worth fighting for that A+... 2. When it comes to studying, one can argue that there’s a compounding effect, meaning the more one studies the more one understands the material and the more it sticks, which is contrary to the model you set up. How would you set up a model that represents that compounding benefit? 3. Is there a way to include the time constraint into this model as well? 4. (Not sure if this is really included in point 2 above) One could also argue that perseverance in studying has an additional benefit of improving studying habits overall and therefore the additional time spent studying actually changes one’s equations as one goes on studying. So perhaps an optimization model isn’t the right for altogether or what would be a model that captures that as well? Thanks!!

  • @AshleyHodgson

    @AshleyHodgson

    3 жыл бұрын

    Great questions! 1) If the student wants a 4.0, then you would use a time minimization function subject to achieving a 4.0 as a constraint. With s as choice variable... min s s.t. G(s) = 4.0. I might do a video on this eventually because it's fun. 2) There absolutely could be more complexities to the shape of the G(s) function. It could start out increasing at the margin, for the reasons you describe, and then later start diminishing. Eventually, it will be diminishing for sure. 3) You could add a time constraint, but it would be trivial. If you have exactly 5 hours to study, then s = 5 unless there is some kind of opportunity cost. If s does not equal 5, then the opportunity cost is all that matters, not the time constraint. 4) I think you are absolutely right that studying more over the long run changes the underlying "type" of student you are by changing your habits. Essentially, building the habit of studying rotates up your G(s) production function.

  • @imfeelindirectionles
    @imfeelindirectionles2 жыл бұрын

    Super clearly explained - thank you!

  • @valueengines2184
    @valueengines21844 жыл бұрын

    Really well explained, I really like your stuff

  • @abuzainabahmadsyakirnorazli
    @abuzainabahmadsyakirnorazli2 жыл бұрын

    thanks for the lessons. came here just want to learn why we always do FOC and SOC to find max benefits/rev. helps a lot! take my subscribe!

  • @glafayettegorillo4289
    @glafayettegorillo42894 ай бұрын

    I still got throuh that video without any question marks - my 8th grade economics teacher would be so proud of me!

  • @fefsable
    @fefsable2 жыл бұрын

    Great content, thank you very much!

  • @justinberesford5881
    @justinberesford58812 жыл бұрын

    This series is super helpful - if you make a Coursera course, I'll be your first subscriber!

  • @winniejean2442
    @winniejean24423 жыл бұрын

    thank you so much!

  • @mattirving21
    @mattirving213 жыл бұрын

    helpful, thankyou

  • @jbetanco7733
    @jbetanco7733 Жыл бұрын

    Good job

  • @j.augustiney.vallai2033
    @j.augustiney.vallai20332 жыл бұрын

    how to find: FOC & SOC given the equaltion Tc = 100 +60Q-12Q2+Q3

  • @gaurikajagasia373
    @gaurikajagasia3733 жыл бұрын

    She resembles like Colby Minifie!

  • @romankohli5919
    @romankohli59192 жыл бұрын

    Wouldn't the second derivate be -0.25s^-1.5 - 0.2 ?

  • @gabrielmota9647
    @gabrielmota9647 Жыл бұрын

    Does anyone have the book Microeconomics With Calculus - 1997?

  • @teafanyii_
    @teafanyii_3 жыл бұрын

    thank you so much!!!