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What is the price elasticity of demand as price increases from 2 per unit to 4 per unit? Use the point formula in your calculation.
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1. What is the price elasticity of demand as price increases from $2 per unit to $4 per unit? Use the point formula in your calculation.
Determine the equation of the demand curve from the diagram.
The demand curve is a straight line passing through and .
The slope of the demand curve () is .
So, the inverse slope () is .
The demand function can be written as .Identify the initial price and quantity.
As price increases from P = $2Q = -2(2) + 16 = -4 + 16 = 12(P=2, Q=12)$.
Calculate the price elasticity of demand using the point formula.
The point elasticity of demand formula is .
From Step 1, .The absolute value of the elasticity is .
Select the correct option.
The calculated elasticity is , and its absolute value is .
The correct option is a) .2. Suppose that a 2% increase in price results in a 6% decrease in quantity demanded. Own-price elasticity of demand is equal to:
Use the formula for price elasticity of demand.
The formula for price elasticity of demand is .
Substitute the given percentage changes.
A 6% decrease in quantity demanded means .
A 2% increase in price means .Select the correct option.
The absolute value of the elasticity is .
The correct option is d) .3. If goods X and Y are SUBSTITUTES, then which of the following could be the value of the cross price elasticity of demand for good Y?
Understand the relationship between substitutes and cross-price elasticity.
For substitute goods, an increase in the price of one good (e.g., good Y) leads to an increase in the quantity demanded of the other good (good X).
The cross-price elasticity of demand () is calculated as .Determine the sign of the cross-price elasticity for substitutes.
If increases (positive change), increases (positive change). Therefore, the ratio of two positive changes will be positive.
So, for substitutes, the cross-price elasticity of demand must be positive ().Evaluate the given options.
a) -1 (negative)
b) -2 (negative)
c) Neither a) nor b).
d) Both a) and b).
Since the cross-price elasticity for substitutes must be positive, neither -1 nor -2 are possible values.
The correct option is c) .4. If pizza is a normal good, then which of the following could be the value of income elasticity of demand?
Understand the definition of a normal good in relation to income elasticity.
A normal good is a good for which demand increases as consumer income increases.
The income elasticity of demand () is calculated as .Determine the sign of the income elasticity for a normal good.
If income () increases (positive change), the quantity demanded () also increases (positive change). Therefore, the ratio of two positive changes will be positive.
So, for a normal good, the income elasticity of demand must be positive ().Evaluate the given options.
a) 0.2 (positive)
b) 0.8 (positive)
c) 1.4 (positive)
d) All of the above.
All the values 0.2, 0.8, and 1.4 are positive, which is consistent with pizza being a normal good. (0.2 and 0.8 would indicate a necessity, while 1.4 would indicate a luxury, both of which are types of normal goods).
The correct option is d) .
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