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The demand curve for a product is given by QXd = 1,200 - 3Px - 0

Economics Dec 18, 2020

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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