d. Show with Equations and a Graph what happens to the Demand Curve if      Income increases to 100?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question: d – Only!!!

d. Show with Equations and a Graph what happens to the Demand Curve if

     Income increases to 100?

 

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 variables and function:

The utility function:U equals q subscript x q subscript y

The prices of good x and good y are p subscript x space a n d space p subscript y respectively. Income is denoted by M.

Therefore the budget line equation: p subscript x q subscript x plus p subscript y q subscript y equals M

Initial income is 60.

Income in subpart d is 100.

To draw the demand curve, the demand equation needed to be calculated by solving the utility maximization condition.

M R S equals p subscript x over p subscript y


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