Price Elasticity Of Supply

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Business Economics (MBA Morning) Assignment No # (1-5)

Name

:

Parwaiz Ali Jiskani

Reg. no :

7241

Class

MBA(Morning)

:

Class Day:

Wednesday (12:00 to 3:00)

Date of submission:

Oct. 29, 2008

______________________________________________________________________________________ 1 IQRA UNIVERSITY --

SUBMITED TO: MR. Asif Qureshi Elastic Supply : If there is one percent changes in price the impact of this change on quantity supplied will be greater than one percent is called Elastic Supply.



PES > 1

Formula:



Ignore all negative signs.



In formula the symbols stands for. :

Price Elasticity of Supply

:

Delta Stands for “change in”

∆Q

:

Change in Quantity Supply

 ∆P

:

Change in Price

 Q1

:

Initial Quantity Supplied

 Q2

:

Current Quantity Supplied

 P1

:

Initial Price

 P2

:

Current Price



PES

 ∆ 

______________________________________________________________________________________ 2 IQRA UNIVERSITY --

Examples for Elastic Supply. Example no:1 If the price of book increased by $150 to $185 the quantity Supplied by suppliers will also be increased according to the law of supply. If the supply increased by more than 1% than the price increased called elastic supply. Schedule for Elastic Supply: (BOOK) Price ($) P1 150

Quantity (books) Q1 Q2 10000 14000

P2 185

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 10000-14000 ) (10000+14000)/2

PES

PES

=

=

÷ ( 150-185 ) (150+185)/2

4000 24000/2

÷ 35_

4000 12000

÷ 35_ ÷ 0.2089

PES

=

0.3333

PES

=

1.59

335/2

167.5

( Elastic Supply ) ______________________________________________________________________________________ 3 IQRA UNIVERSITY --

Graph for Elastic Supply

P ric e

BOOK S u p p ly

$185 $150

10000

14000

Q u a n tity

______________________________________________________________________________________ 4 IQRA UNIVERSITY --

Example no:2 If the price of Pepsi increased by $30 to $35 the quantity Supplied by suppliers will also be increased according to the law of supply. If the supply increased by more than 1% than the price increased called elastic of supply. Schedule for Elastic Supply: (PEPSI) Price ($) P1 30

Quantity (million bottle) Q1 Q2 8 10

P2 35

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 8-10 ) (8+10)/2

÷ ( 30-35 )

2 18/2

÷ 5_

PES

=

(30+35)/2

65/2

PES

=

2 9

÷

PES

=

0.2222

÷ 0.153846

PES

=

1.44

5_ 32.5

( Elastic Supply )

______________________________________________________________________________________ 5 IQRA UNIVERSITY --

Graph for Elastic Supply

P ric e

Pepsi S u p p ly

$35 $30

8

10

Q u a n tity (m illio n )

______________________________________________________________________________________ 6 IQRA UNIVERSITY --

Inelastic Supply: If there is one percent changes in price the impact of this change on quantity Supplied will be lesser than one percent is called Inelastic Supply.



PES < 1

Formula:



Ignore all negative signs.



In formula the symbols stands for. :

Price Elasticity of Supply

:

Delta Stands for “change in”

∆Q

:

Change in Quantity Supply

 ∆P

:

Change in Price

 Q1

:

Initial Quantity Supplied

 Q2

:

Current Quantity Supplied

 P1

:

Initial Price

 P2

:

Current Price



PES

 ∆ 

______________________________________________________________________________________ 7 IQRA UNIVERSITY --

Examples for Inelastic Supply. Example no:1 If the price of Mangoes increased by $20 to $30 per Kg the quantity Supplied by suppliers will also be increased according to the law of supply. If the “supply increased by less than 1%” than the price increased called inelastic supply. Schedule for Inelastic Supply: (Mangoes) Price ($) P1 20

Quantity (bags) Q1 Q2 5000 6000

P2 30

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 5000-6000 ) (5000+6000)/2

PES

=

1000 11000/2

=

1000 5500

PES

=

0.181818

PES

=

0.45

(20+30)/2

÷ 10_ 50/2

÷

PES

÷ ( 20-30 )

5_ 25

÷ 0.4

( Inelastic Supply )

Graph For inelastic Supply ______________________________________________________________________________________ 8 IQRA UNIVERSITY --

P ric e

M angoes

S u p p ly

$30 $20

5000 6000

Q u a n tity

Example no:2 ______________________________________________________________________________________ 9 IQRA UNIVERSITY --

In Short Run if the price of Cars increased by $350000 to $425000 the quantity Supplied by suppliers will also be increased according to the law of supply. If the supply increased by less than 1% than the price increased called inelastic of supply. Schedule for Inelastic Supply: (Suzuki Motors Car) Price ($) P1 P2 350000 425000

Quantity (thousands) Q1 Q2 7600 8550

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 7600-8550 ) (7600+8550)/2

PES

PES

=

=

950 16150/2 950 8075

PES

=

0.11768

PES

=

0.607

÷ ( 350000+425000 ) (350000+425000)/2

÷ 75000_ 775000/2

÷ 75000_ 387500

÷ 0.1935 ( Inelastic Supply )

Graph For inelastic Supply

______________________________________________________________________________________ 10 IQRA UNIVERSITY --

P ric e

C a rs

S u p p ly

$425000 $350000

7600 8550

Q u a n tity

Unit Elastic Supply. If there is one percent changes in price the impact of this change on quantity supplied will be equal to one percent is called Unit Elastic Supply. ______________________________________________________________________________________ 11 IQRA UNIVERSITY --



PES = 1

Formula:



Ignore all negative signs.



In formula the symbols stands for. :

Price Elasticity of Supply

:

Delta Stands for “change in”

∆Q

:

Change in Quantity Supply

 ∆P

:

Change in Price

 Q1

:

Initial Quantity Supplied

 Q2

:

Current Quantity Supplied

 P1

:

Initial Price

 P2

:

Current Price



PES

 ∆ 

Examples for Unit Elastic Supply. Example no:1 ______________________________________________________________________________________ 12 IQRA UNIVERSITY --

If the price of Video Games increased by $300 to $330 the quantity Supplied by suppliers will also be increased according to the law of supply. If the supply increased by same % as the % increase in price called Unit elastic supply. Schedule for Unit Elastic Supply: (Video Games) Price ($) P1 300

Quantity (units) Q1 Q2 4000 4400

P2 330

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 4000-4400 ) (4000+4400)/2

PES

PES

=

=

400 8400/2

÷ ( 300-330 ) (300+330)/2

÷ 35_ 630/2

÷ 35_

400 4200

315

PES

=

0.952

PES

=

1

÷ 0.952 (Unit Elastic Supply )

Graph for Unit Elastic Supply

______________________________________________________________________________________ 13 IQRA UNIVERSITY --

P ric e

V id e o g a m e s S u p p ly

$330 $300

4000 4400

Q u a n tity

Example no:2 ______________________________________________________________________________________ 14 IQRA UNIVERSITY --

If the price of Cigerate increased by $25 to $32.5 per packet the quantity Supplied by suppliers will also be increased according to the law of supply. If the supply increased by same % as the % increase in price called Unit elastic supply. Schedule for Unit Elastic Supply: (Cigerate) Price ($) P1 25

Quantity (dozen box) Q1 Q2 180 234

P2 32.5

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 180-234 ) (180+234)/2

PES

=

÷ ( 30-32.5 ) (30+32.5)/2

÷ 7.5_

54 414/2

57.5/2

÷

PES

=

2 207

PES

=

0.26086

PES

=

1

7.5_ 28.75

÷ 0.26086

(Unit Elastic Supply )

Graph for Unit Elastic Supply

______________________________________________________________________________________ 15 IQRA UNIVERSITY --

P ric e

C ig e r a te

S u p p ly

$ 3 2 .5 0 $25

180

234

Q u a n tity (B o x )

Perfectly Elastic Supply:

______________________________________________________________________________________ 16 IQRA UNIVERSITY --

If there is percent change in price impact of the change will be very huge in quantity Supplied called Perfectly Elastic Supply.



PES

∞ (infinity)

Formula:



Ignore all negative signs.



In formula the symbols stands for. :

Price Elasticity of Supply

:

Delta Stands for “change in”

∆Q

:

Change in Quantity Supply

 ∆P

:

Change in Price

 Q1

:

Initial Quantity Supplied

Q2

:

Current Quantity Supplied

 P1

:

Initial Price

 P2

:

Current Price



PES

 ∆ 



Examples for Perfectly Elastic Supply. ______________________________________________________________________________________ 17 IQRA UNIVERSITY --

Example no:1 In Long Run the price of TV sets increased by $18000 to $20600 the quantity Supplied by suppliers will also be increased according to the law of supply. If the “supply increased by Huge Quantity as compare to % change in the price increased called perfectly elastic supply. Schedule for Perfectly Elastic Supply: (T-V) Quantity

Quantity (Units)

Quantity (thousands)P1P2Q1Q21400 014500350015000P2Q1Q21 800018500500012000 Price ($) Calculations: PES ÷ ( P1-P2 )

15000)

=

( Q1-Q2 )

(Q1+Q2)/2

(P1+P2)/2

PES = (3500÷ ( 14000-14500 )

(35000+50000)/2 (14000+14500)/2 PES ÷

= 500_

11500 18500/2

28500/2 PES 500_ 9250

=

PES 0.035

=

11500

÷

14250

PES

1.62162 =

÷ 46.332

( Perfectly Elastic Supply ) ______________________________________________________________________________________ 18 IQRA UNIVERSITY --

Graph for Perfectly Elastic Supply

Perfectly Inelastic Supply: If there is percentage change in price impact of the change on quantity Supplied would remain same or quantity of supply remains same called perfectly inelastic Supply. PES = 0 Formula:

Ignore all negative signs. In formula the symbols stands for. PES : of Supply

Price Elasticity



Delta Stands

:

for “change in” 

∆Q

: Change in

Quantity Supply  ∆P

: Change in

Price  Q1

:

Initial

Quantity Supplied  Q2

:

______________________________________________________________________________________ 19 IQRA UNIVERSITY --

Current Quantity Supplied  P1

:

Initial

Price  P2

: Current Price

       

Examples for



Perfectly Inelastic Supply. 

Example no:1 If the price of



Beach Front Land is increased by $501700 to $603400 there will be no change in supply. 

If the “supply

remain same and % change in the price increased called perfectly inelastic supply.  ______________________________________________________________________________________ 20 IQRA UNIVERSITY --



Schedule for Perfectly inelastic Supply: (Beach Front Land)

 Price ($)

 Calculations:

PES = ( Q1-Q2 )

÷ ( P1-P2 )

(Q1+Q2)/2 (P1+P2)/2 PES = ( 5000-12000 )

÷

( 18000-18500 ) (5000+12000)/2 (18000+18500)/2 PES = 7000

÷

500_

17000/2 36500/2 ______________________________________________________________________________________ 21 IQRA UNIVERSITY --

PES =

7000

÷

500_ 8500

18250

PES =

0.82352

÷

0.0273 PES = 30.58 ( Perfectly Elastic Supply )

Graph for Perfectly Elastic Supply

Example no:2 ______________________________________________________________________________________ 22 IQRA UNIVERSITY --

In Long Run the price of Computer sets increased by $14000 to $15000 the quantity Supplied by suppliers will also be increased according to the law of supply. If the “supply increased by Huge Quantity as compare to % change in the price increased called perfectly elastic supply. Schedule for Perfectly Elastic Supply: Price ($) P1P1 P2 501700 603400

Q1 100000

Q2 100000

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

( 100000-100000 ) (100000+100000)/2

÷ ( 501700-603400 )

PES

=

0 ÷ 101700_ 200000/2 1105100/2

PES

=

0

÷

(501700+603400)/2

101700_

______________________________________________________________________________________ 23 IQRA UNIVERSITY --

100000 PES

=

0

PES

=

0

552550

÷ 0.1840 (Perfectly Inelastic Supply)

Graph for Perfectly inelastic Supply

Price

Beach Front Land Supply

$603400 $501700

0

100000

Q uantity

______________________________________________________________________________________ 24 IQRA UNIVERSITY --

Example no:2 If the price of Fuel increased by $105per barrel to $200 per barrel the quantity Supplied by PSO to the Railways will remain same. If the “supply remain same and no change in supply called perfectly inelastic supply. Schedule for Perfectly Inelastic Supply: Price ($ per barrel) P1 P2 105 200

Quantity (barrel)per day Q1 Q2 300 300

Calculations:

PES

=

( Q1-Q2 ) ÷ ( P1-P2 ) (Q1+Q2)/2 (P1+P2)/2

PES

=

(300-300) ÷ ( 105-200 ) (300+300)/2 (105+200)/2

PES

=

0 600/2

PES

=

0 300

÷ 95_ 305/2

÷

95_ 152.5

______________________________________________________________________________________ 25 IQRA UNIVERSITY --

PES

=

0

PES

=

0

÷ 0.6229 ( Perfectly inelastic Supply )

Graph for Perfectly inelastic Supply

P ric e

F u e l to R a ilw a y

S u p p ly

$200 $105

0

300

Q u a n t ity (b a rre l)

______________________________________________________________________________________ 26 IQRA UNIVERSITY --

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