Uncategories Linear Function (Basic Mathematic/Economy)

Linear Function (Basic Mathematic/Economy)

Published on November 20, 2018 By Menyediakan ilmu atau pengetahuan sekolah dari SD, SMP, SMA, hingga perkuliahan atau Universitas/Perguruan Tinggi Negeri maupun Swasta. Menyediakan juga pengetahuan umum yang bermanfaat untuk hidup.
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Assalamu'alaikum wr.wb. (May peace be upon you all)

Hello guys, welcome back to fahrievka's website, today I want to share for you about Linear Function. (I hope it will be helpful for any students right(?))

OK, let's start.
Linear Function in economy (based on my knowledge), has three (3) applications in its problem. What are they?
1. Consumer Behavior
Linear function comes to be an application for observing consumer behavior, and it also can be demand function too guys.
2. Producer Behavior
Linear function also can be an application to observe producer behavior, and of course it's an opposite from consumer behavior, so it can be a function of supply (supply function).
3. Market Behavior
Linear function in this case is for observing the behavior or action in market. It's also can be an equilibrium. What is that???
Equilibrium is a point where demand function (Fd) and supply function (Fs) are at the same position.
Linear function comes to be an application in case of market behavior in tax or subsidy's effect too.

1. Demand Function (Demanding)
(Picture will be added soon)
FD->P=a-bQ
P=Price
Q=Quantity
If the number of P increases, so the number of Q decreases.
If the number of P decreases, so the number of Q increases.

2. Supply Function (Supplying)
(Picture will be added soon)
FS->P=a+bQ
P=Price
Q=Quantity
If the number of P increases, so the number of Q increases too.
If the number of P decreases, so the number of Q decreases too.

3.Equilibrium (Market balance point)
(Picture will be added soon)
FS->P=a+bQ
FD->P=a-bQ
E->FD=FS

4.Tax's effect to Equilibrium
(Picture will be added soon)
FSt->P=a+bQ+t/u
FS->P=a+bQ
If the number of FS increases, so the number of FD stays.
If the number of E increases (from E to Et), so the number of P increases and the number of Q decreases.

Tax->FSt->P=a+bQ+tax/unit
Et->FDt=FSt

5.Subsidy's effect to Equilibrium
(Picture will be added soon)
FSs->P=a+bQ-s/u
FS->P=a+bQ
If the number of FS decreases, so the number of FD stays.
If the number of E decreases (from E to Et), so the number of P decreases and the number of Q increases.

Tax->FSt->P=a+bQ+tax/unit
Et->FDt=FSt

For example, we have a question which we have known the function of demand (FD), the function of supply (FS), and the subsidy (S). The question is to determine the function of Equilibrium in subsidy (Es).
So, how do we solve that problem?
First, we will write the FD, FS, and Subsidy of course.
The FD is P=-600Q+180,000 (PFD)
and the FS is P=400Q+90,000 (PFS)
and the Subsidy is 10.000/unit
Then, we'll write the the FSs for function of supply in subsidy.
It will go like this,
FSs->Ps=400Q+90,000-10.000
         Ps=400Q+80,000
Remember, Equilibrium (E) is the balance point between FD and FS or PFD and Ps.
So, it will go like this.
Es->FD=FSs
PFD=Ps
So, Es is -600Q+180,000=400Q+80,000
                                -1000Q=-100,000
                                          Q=100 units
      Ps=400Q+80,000
          =400(100)+80.000
         =40,000+80,000
         =48,000 rupiahs

(this post hasn't finished, yet.)
Menyediakan ilmu atau pengetahuan sekolah dari SD, SMP, SMA, hingga perkuliahan atau Universitas/Perguruan Tinggi Negeri maupun Swasta. Menyediakan juga pengetahuan umum yang bermanfaat untuk hidup.

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