PS2(3d)
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!!!
- 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
- 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
The utility function:
The prices of good x and good y are respectively. Income is denoted by M.
Therefore the budget line equation:
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.
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