In this problem, p is in dollars and g is the number of units. Suppose that the demand for a product is given by 2p²q = 10,000+ (a) Find the elasticity when p = $50 and q = 4502. (Round your answer to four decimal places.) + 9000p². (b) Tell what type of elasticity this is: unitary, elastic, or inelastic. O Demand is unitary elastic. O Demand is elastic. O Demand is inelastic. (c) How would revenue be affected by a price increase? O An increase in price decreases revenue. O An increase in price increases revenue. Revenue is unaffected by price.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In this problem, \( p \) is in dollars and \( q \) is the number of units.

Suppose that the demand for a product is given by \( 2pq^2 = 10,000 + 9000p^2 \).

**(a)** Find the elasticity when \( p = \$50 \) and \( q = 4502 \). (Round your answer to four decimal places.)

[Text box for answer]

**(b)** Tell what type of elasticity this is: unitary, elastic, or inelastic.

- Demand is unitary elastic.
- Demand is elastic.
- Demand is inelastic.

**(c)** How would revenue be affected by a price increase?

- An increase in price decreases revenue.
- An increase in price increases revenue.
- Revenue is unaffected by price.
Transcribed Image Text:In this problem, \( p \) is in dollars and \( q \) is the number of units. Suppose that the demand for a product is given by \( 2pq^2 = 10,000 + 9000p^2 \). **(a)** Find the elasticity when \( p = \$50 \) and \( q = 4502 \). (Round your answer to four decimal places.) [Text box for answer] **(b)** Tell what type of elasticity this is: unitary, elastic, or inelastic. - Demand is unitary elastic. - Demand is elastic. - Demand is inelastic. **(c)** How would revenue be affected by a price increase? - An increase in price decreases revenue. - An increase in price increases revenue. - Revenue is unaffected by price.
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