The Mathematics of demand functions презентация

The Mathematics of Demand Functions Demand Functions In Different Forms Graphs of quantity demanded against price D P Q

Слайд 1The Mathematics of Demand Functions


Слайд 2The Mathematics of Demand Functions
Demand Functions In Different Forms
Graphs of quantity

demanded against price

D

P

Q


Слайд 3The Mathematics of Demand Functions
Demand Functions In Different Forms
Graphs of quantity

demanded against price
They need not be straight lines

D

P

Q


Слайд 4The Mathematics of Demand Functions
Demand Functions In Different Forms
Tables


Слайд 5The Mathematics of Demand Functions
Demand Functions In Different Forms
Mathematical equations
Q=100-2P


Слайд 6The Mathematics of Demand Functions
Demand Functions In Different Forms
Mathematical equations
Linear or

Non Linear

Q=100-2P

Q=10P-2


Слайд 7The Mathematics of Demand Functions
Indirect demand functions
Gives price as a function

of quantity, not the other way around.
We can always restate indirect demand functions as direct demand functions and vice versa.

Слайд 8The Mathematics of Demand Functions
A Graphical Interpretation
Knowing price we know quantity

demanded.

D

P

Q





Слайд 9The Mathematics of Demand Functions
A Graphical Interpretation
It also works the other

way.

D

P

Q





Слайд 10The Mathematics of Demand Functions
Ditto with Tables


Слайд 11The Mathematics of Demand Functions
An Example
Q = 100 – 2P


Слайд 12The Mathematics of Demand Functions
An Example
Q = 100 – 2P
2P +

Q = 100 – 2P +2P

Слайд 13The Mathematics of Demand Functions
An Example
Q = 100 – 2P
2P +

Q = 100 – 2P +2P
2P + Q = 100

Слайд 14The Mathematics of Demand Functions
An Example
2P + Q = 100
2P +

Q – Q = 100 – Q
2P = 100 – Q


Слайд 15The Mathematics of Demand Functions
An Example

2P = 100 – Q
(1/2)[2P] =

(1/2)[100-Q]
P = 50 – (1/2)Q

Слайд 16The Mathematics of Demand Functions
A Second Example
P = 50 – (1/2)Q


Слайд 17The Mathematics of Demand Functions
A Second Example
P = 50 – (1/2)Q
2P

= 2[50-(1/2)Q]
2P = 100 – Q


Слайд 18The Mathematics of Demand Functions
A Second Example
2P = 100 – Q
Q

+ 2P = 100 – Q + Q
Q + 2P = 100


Слайд 19The Mathematics of Demand Functions
A Second Example
Q + 2P = 100

– Q + Q
Q + 2P = 100
Q + 2P – 2P = 100 –2P
Q = 100 – 2P

Слайд 20The Mathematics of Demand Functions
Some Assignments

P = 12 – 3Q

Q =

100 – 10P




Слайд 21The Mathematics of Demand Functions
Some Assignments

P = 12 – 3Q

Q =

100 – 10P


Q = 4 – (1/3)P

P = 10 – 0.1Q


Слайд 22The Mathematics of Demand Functions
End
©2004 Charles W. Upton


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