3. Yunha's demand for pineapples is: Qy = 15 – 5P %3D Sydney's demand for pineapples is: Qs =20– 2P where Qy is the quantity demanded by Yunha, Qs is the quantity demanded by Sydney, and P is the price. Suppose these are the only two consumers of pineapples in the market. a) | Graph Yunha’s and Sydney's demand for pineapples. b) Derive the equations for the market demand for pineapples (Hint: There is a kink, so there are two equations!). c) On the same graph as part (a), graph the market demand "curve" for pineapples.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 3:**

Yunha's demand for pineapples is given by the equation:
\[ Q_Y = 15 - 5P \]

Sydney's demand for pineapples is given by the equation:
\[ Q_S = 20 - 2P \]

Where \( Q_Y \) is the quantity demanded by Yunha, \( Q_S \) is the quantity demanded by Sydney, and \( P \) is the price.

Suppose these are the only two consumers of pineapples in the market.

a) **(5 points)** Graph Yunha’s and Sydney’s demand for pineapples.

b) **(5 points)** Derive the equations for the market demand for pineapples. **Hint:** There is a kink, so there are two equations!

c) **(5 points)** On the same graph as part (a), graph the market demand "curve" for pineapples.
Transcribed Image Text:**Problem 3:** Yunha's demand for pineapples is given by the equation: \[ Q_Y = 15 - 5P \] Sydney's demand for pineapples is given by the equation: \[ Q_S = 20 - 2P \] Where \( Q_Y \) is the quantity demanded by Yunha, \( Q_S \) is the quantity demanded by Sydney, and \( P \) is the price. Suppose these are the only two consumers of pineapples in the market. a) **(5 points)** Graph Yunha’s and Sydney’s demand for pineapples. b) **(5 points)** Derive the equations for the market demand for pineapples. **Hint:** There is a kink, so there are two equations! c) **(5 points)** On the same graph as part (a), graph the market demand "curve" for pineapples.
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