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Step-by-step solution
4 stepsHere's a breakdown of the problem, assuming the demand function is .
Calculate the quantity demanded () for various prices.
The demand function is given as .
We will calculate for the prices , , and . Note that quantity demanded cannot be negative in a real-world scenario, so if a calculation yields a negative , we will consider it to be 0.-
For :
Since quantity demanded cannot be negative, .
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For :
Since quantity demanded cannot be negative, .
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For :
Since quantity demanded cannot be negative, .
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Determine points for drawing the demand curve.
To draw the demand curve, we typically plot Price (P) on the vertical axis and Quantity Demanded () on the horizontal axis. We find the intercepts:
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-intercept (when ):
This gives the point .
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P-intercept (when ):
This gives the point .
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Describe how to draw the demand curve.
The demand curve is a straight line connecting the points and . For any price above , the quantity demanded is 0. The calculated points from Step 1 (for ) all result in , meaning they lie on the vertical axis (where ) above the P-intercept.
State factors that cause a change in demand.
A change in demand (a shift of the entire demand curve) is caused by factors other than the price of the good itself. These factors include:
- Consumer income: An increase in income generally increases demand for normal goods and decreases demand for inferior goods.
- Tastes and preferences: Changes in consumer preferences can increase or decrease demand.
- Price of related goods:
- Substitutes: An increase in the price of a substitute good increases demand for the original good.
- Complements: An increase in the price of a complementary good decreases demand for the original good.
- Consumer expectations: Expectations about future prices or income can influence current demand.
- Number of buyers: An increase in the number of consumers in the market will increase overall demand.
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