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The demand curve for a product is given by QXd = 1,200 - 3Px - 0
The demand curve for a product is given by QXd = 1,200 - 3Px - 0.1Pz, where Pz = $300.
a. What is the own price elasticity of demand when Px = $140?
b. Is demand elastic or inelastic at this price?
Expert Solution
a.
Step one: determine quantity demanded (QXd):
- QXd = 1,200 - 3Px - 0.1Pz
We know that:
- Px = $140
- Pz = $300
Therefore:
- QXd = 1,200 - 3(140) - 0.1(300)
- QXd = $750
Step two: find price elasticity of demand:
- PED = (Change in Quantity /Change in Price) * (Price / Quantity)
By using the demand equation (QXd = 1,200 - 3Px - 0.1Pz), we can find that the Change in Quantity / Change in Price = -3. We know that:
- price (Px) = $140
- Quantity (QXd) = $750
Therefore:
- PED = -3 * (140 / 750) = -0.56
b.
Since PED < 1, the demand is inelastic.
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