12. You are told that Mouliya purchases 10 oranges when the price of each orange is $0.20. You also know that for every $0.10 increase in price Mouliya purchases one less orange. Mouliya's demand curve is linear. i. In the space below draw a sketch of Mouliya's demand curve given the above information. Your sketch should identify two points that lie on this demand curve (give numerical values for the coordinates of these two points). Your sketch should have both axes labeled as well as the demand curve. Price of Oranges. $0.30 $0.20 (9,$0.30) 9 10 (10, $0.20) Demand Quantity of Oranges ii. Given the above information write an equation for Mouliya's demand curve for oranges using P as the symbol for the price per orange and q as the symbol for the quantity of oranges demanded by Mouliya. For full credit show your work in deriving this equation. iii. Suppose there are twenty individuals in all (including Mouliya) in this market and all of these individuals have identical demand curves based on the information you were given about Mouliya. Provide a verbal explanation of how you would find the market demand curve. iv. Find this market demand curve using P as the price per orange and Q as the total quantity demanded by these twenty individuals. (Hint: you may find it helpful to draw a sketch of Mouliya's demand curve and a separate sketch of the market demand curve.) Show your work to get full credit.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
12. You are told that Mouliya purchases 10 oranges when the price of each orange is $0.20. You also know that for
every $0.10 increase in price Mouliya purchases one less orange. Mouliya's demand curve is linear.
i. In the space below draw a sketch of Mouliya's demand curve given the above information. Your sketch
should identify two points that lie on this demand curve (give numerical values for the coordinates of
these two points). Your sketch should have both axes labeled as well as the demand curve.
Price of
Oranges
$0.30
Stual
$0.20
(9,$0.30)
9 10
(10, $0.20)
Demand
Quantity of Oranges
ii. Given the above information write an equation for Mouliya's demand curve for oranges using P as the
symbol for the price per orange and q as the symbol for the quantity of oranges demanded by Mouliya.
For full credit show your work in deriving this equation.
iii. Suppose there are twenty individuals in all (including Mouliya) in this market and all of these individuals
have identical demand curves based on the information you were given about Mouliya. Provide a verbal
explanation of how you would find the market demand curve.
iv. Find this market demand curve using P as the price per orange and Q as the total quantity demanded by
these twenty individuals. (Hint: you may find it helpful to draw a sketch of Mouliya's demand curve and
a separate sketch of the market demand curve.) Show your work to get full credit.
Transcribed Image Text:12. You are told that Mouliya purchases 10 oranges when the price of each orange is $0.20. You also know that for every $0.10 increase in price Mouliya purchases one less orange. Mouliya's demand curve is linear. i. In the space below draw a sketch of Mouliya's demand curve given the above information. Your sketch should identify two points that lie on this demand curve (give numerical values for the coordinates of these two points). Your sketch should have both axes labeled as well as the demand curve. Price of Oranges $0.30 Stual $0.20 (9,$0.30) 9 10 (10, $0.20) Demand Quantity of Oranges ii. Given the above information write an equation for Mouliya's demand curve for oranges using P as the symbol for the price per orange and q as the symbol for the quantity of oranges demanded by Mouliya. For full credit show your work in deriving this equation. iii. Suppose there are twenty individuals in all (including Mouliya) in this market and all of these individuals have identical demand curves based on the information you were given about Mouliya. Provide a verbal explanation of how you would find the market demand curve. iv. Find this market demand curve using P as the price per orange and Q as the total quantity demanded by these twenty individuals. (Hint: you may find it helpful to draw a sketch of Mouliya's demand curve and a separate sketch of the market demand curve.) Show your work to get full credit.
Expert Solution
Step 1

12.

i.

In the graph below, price on Y axis and quantity demand on x axis.

When price is 0.20 then quantity demand is 10 oranges.

When price rises by 0.10 then quantity demand decreases by 1 unit. Then if price is 0.30 then quantity demanded is 9 oranges.

Price of
Oranges
$0.30
$0 20
(9, 10.30)
9 10
(10,$0.20)
Demand
Quantity of Oranges

ii.

Demand curve equation:

P= a-bq

When P= 0.20, q= 10:

0.20= a-10b equation 1

When P= 0.30, q= 9:

0.30= a-9b equation 2

Subtract equation 2 from 1:

a-10b-a+9b= 0.30-0.20

-b= 0.10

b= 0.10

Use this value in equation 2:

a-9(0.10)= 0.30

a-0.9= 0.3

a= 0.30+0.90= 1.20

Demand equation:

P= 1.20-0.10q

 

iii.

Market demand is the sum total of individual demand for all the consumers. The market quantity is the sum of individual quantity or multiplier individual quantity by number of consumers.

 

iv.

P= 1.20-0.1q

0.1q= 1.20-P

q= 12-10P

Q= number of consumer x q

Q= 20(12-10P)

Q= 240-200P

200P= 240-Q

P= (240-Q)/200

When Q=0, P= 1.2 and when P= 0, Q= 240:

d
1.25
1
0.75
0.5
0.25
0
0
50
100
150
200

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Knapsack Problem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education