The demand for good X is given by   QXd = 6,000 - (1/2)PX - PY + 9PZ + (1/10)M   Research shows that the prices of related goods are given by Py = $6,500 and Pz = $100, while the average income of individuals consuming this product is M = $70,000.   a. Indicate whether goods Y and Z are substitutes or complements for good X.   Good Y is: (Click to select) a substitute neither complement nor substitute a complement .   Good Z is: (Click to select) a complement a substitute neither complement nor substitute .   b. Is X an inferior or a normal good?   Good X is: (Click to select) an inferior good neither a normal nor an inferior good a normal good .   c. How many units of good X will be purchased when Px = $5,230?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.1P
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The demand for good X is given by

 

QXd = 6,000 - (1/2)PX - PY + 9PZ + (1/10)M

 

Research shows that the prices of related goods are given by Py = $6,500 and Pz = $100, while the average income of individuals consuming this product is M = $70,000.

 

a. Indicate whether goods Y and Z are substitutes or complements for good X.

 

Good Y is: (Click to select) a substitute neither complement nor substitute a complement .

 

Good Z is: (Click to select) a complement a substitute neither complement nor substitute .

 

b. Is X an inferior or a normal good?

 

Good X is: (Click to select) an inferior good neither a normal nor an inferior good a normal good .

 

c. How many units of good X will be purchased when Px = $5,230?

 

 

 

d. Determine the demand function and inverse demand function for good X. Graph the demand curve for good X.

 

Instruction: Enter all values as integers, or if needed, a decimal rounded to one decimal place.

 

 

Demand function: ( ) - ( ) PX

 

Inverse demand function: PX = ( ) - ( ) QXd

 

Instruction: Use the tool provided 'D' to graph the inverse demand curve from QX = 0 to QX = 6,000

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