Question: This New Question – Only!!! Graph the demand curve?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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Question: This New Question – Only!!!

Graph the demand curve?

Using the Bartleby’s Expert Solutions for Previous Questions a & b ↓

 

Previous Questions a & b:  Already Answered!!!

  1. What is the Consumer’s Utility Maximizing Combination of Goodx & Goody &

    Why?

Bartleby’s Expert Answer:

Consumer’s Utility Maximizing Combination is:

  qx = 4.8

       &

  qy = 2.4

  1. What is qx at px = 15?

Bartleby’s Expert Answer:

At px = 15

                 qx = 3.6

Given:

Consumer’s Utility Function → U = 4qx * qy

qx = Quantity Demanded for Goodx

qy = Quantity Demanded for Goody

Marginal Rate of Substitution → MRS = qy / qx

Consumer’s Current Income → I = 60

Price of Goodx px = 10

Price of Goody py = 5

 

 

Answers / Information by A Bartleby’s Expert from Previous Questions

 

Equation for Budget Line is:

10qx + 5qy = 60

At Optimum,

MRS = px / py

Therefore,

qx / qy = 10/5

qx / qy = 2

qx = 2qy

Inserting this into Budget Line, we get:

10(2qy) + 5qy = 60

Therefore, Consumer’s Utility Maximizing Combination is:

 qx = 4.8

     &

qy = 2.4

When Price of qx increases to 15, New Budget Equation will be:

15qx + 5qy = 60

At Optimum,

qx / qy = 15/5

 = 3

       qx = 3qy

Inserting this into Budget Line, we get

15(3qy) + 5qy = 60

       qy = 1.2

       qx = 3(1.2) = 3.6

Therefore, Consumer's Utility Maximizing Combination is:

       qx = 3.6

           &

        qy = 1.2

Expert Solution
Step 1: Determine the given information:

The consumer utility function: U left parenthesis q subscript x comma q subscript y right parenthesis equals 4 q subscript x q subscript y

Here qx is the quantity of good x and qy is the quantity of good y. 

Let the price of good x is denoted by px and the price of good y is denoted by py.

Marginal rate of substitution:M R S equals q subscript y over q subscript x

To make a demand curve, we need to find the demand curve equation by solving utility maximization condition. 

The consumer budget constraint is given by:

p subscript x q subscript x plus p subscript y q subscript y equals M

Where M denotes consumer income. 


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