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Interactive Graphs
Graphing Exercise: Elasticity
and Revenue
How will consumers respond
to a price change? Sales will increase if price falls, but by how much? Will
a higher price lead most people to buy a substitute instead? And if they do,
is it possible that the seller’s revenue might actually decrease? The price
elasticity of demand, Ed, is a measure of buyer responsiveness to
price changes. It equals the ratio of the percentage change in quantity demanded
to the percentage change in the price. If the quantity change exceeds the price
change in percentage terms, Ed is greater than one (in absolute value)
and we say demand is elastic. Demand is inelastic if the quantity change is
less than the price change in percents; Ed is less than one. The
elasticity of demand varies from one product to another. It may even vary for
the same product: demand for a product may be more elastic at high prices than
at low prices and is usually more elastic in the long run than in the short
run.
Exploration:
How does the elasticity of demand vary along a straight-line demand curve?
The graph illustrates the
demand for soft drinks at a large grocery store. At the current price of $3,
sales are 3000 cases per week, generating total sales revenue of $9,000. By
dragging the green price triangle on the demand curve, you can observe the relationship
between the price, quantity demanded, and total revenue. Click on the Elasticity
button to calculate the price elasticity over the selected range of the demand
curve.
- What is the elasticity
of demand over the $4 to $5 price range?
answer
- What is the elasticity
of demand over the $1 to $2 price range?
answer
- Experiment on your own.
Over what range of the demand curve is demand elastic? Is there a price range
over which Ed is 1, or "unit elastic?"
answer
- Select an elastic range
of the demand curve. What happens to total revenue when price is increased
through this range?
answer
- Select an elastic range
of the demand curve. What happens to total revenue when price is increased
through this range?
answer
Graphing Exercise: Price
Ceilings and Price Floors
Government authorities often
feel political pressure that a market price is either unfairly high to buyers
or unfairly low to sellers. Sometimes the government responds by establishing
a legal limit on how high or low the price may go. Prices at or below an established
ceiling and prices at or above a floor are legal but disrupt the rationing function
of prices by creating either shortages or surpluses.
Exploration:
How do price controls affect the ability of markets to allocate goods and services?
The graph shows a typical
market in equilibrium at price Pe. To illustrate the impact of an
effective price floor, click inside the red box; click inside the blue box to
illustrate an effective price ceiling. Once a ceiling or floor has been established,
you can drag on the green triangle price slider to adjust prices within the
legal range.
- How will a price floor
affect a competitive market?
answer
- How will a price ceiling
affect a competitive market?
answer
- Experiment on your own.
After establishing a floor or ceiling with the mouse, click on the level just
established and drag it within the box to change its level. What generalizations
can you draw regarding the level of the floor or ceiling and the size of the
resulting surplus or shortage?
answer
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