Question

The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per...

The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfighter, reduced the price of its electric toothbrush from $35 to $15. As a result, Stopdecay's sales declined by 1,500 units per month.

What is the arc cross elasticity of demand between Stopdecay's toothbrush and Decayfighter's toothbrush?

3.85

0.26

–3.85

–0.26

Points:

The value of the arc cross elasticity between these products suggests that they are selector 1

  • complementary
  • substitutes

.

Points:

Close Explanation

Explanation:

If Stopdecay knows that the arc price elasticity of demand for its toothbrush is −1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30.

$28.70

$30.48

$21.77

$15.00

Points:

Close Explanation

Explanation:

It Stopdecay does not change its price, the average monthly total revenue would be selector 1

  • $195,000
  • $240,000
  • $162,500
  • $200,000

. On the other hand, if it changes the price to sell the same number of units as it did before, the average monthly total revenue would be selector 2

  • $243,840
  • $120,000
  • $174,160
  • $229,600

.

Points:

Should Stopdecay change the price of its electric toothbrush?

Yes; as calculated, changing the price increases the total revenue.

No; as calculated, changing the price lowers the total revenue.

It is unclear based on the information given.

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Answer #1

Q.1.

In our example:

Positive cross price elasticity of demand means that the goods are substitutes.

This means that as price of the susbtitute good is decreased by rival firm, people will be to substituting the cheaper alternative to the original product in question and hence original product's sales fall.

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