When Katerina goes running, she can either take water (W) or coconut water (C) with her to drink. She believes coconut water is three time more hydrating than plain water. Katerina just cares about the hydrating power of the drink. (i) Can Katerina's utility function be represented by U(W,C) =3C + W? (ii) Given U(W,C) =3C + W, Katerina has £28 pounds to spend on these two drinks. If a bottle of water costs £1 and a bottle of coconut water costs £2 what is Katerina's optimal choice? Note that MUw = 1 and MUc=3. %3D (iii) Explain under which conditions the tangency condition does not work. Given that the tangency condition does not work, discuss how we can find out the optimal consumption bundle for a consumer.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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**Understanding Katerina's Hydration Choices**

When Katerina goes running, she can either take water (W) or coconut water (C) with her to drink. She believes coconut water is three times more hydrating than plain water. Katerina just cares about the hydrating power of the drink.

---

**Questions for Analysis**

(i) **Utility Function Representation**

Can Katerina’s utility function be represented by U(W, C) = 3C + W?

(ii) **Optimal Choice Calculation**

Given U(W, C) = 3C + W, Katerina has £28 pounds to spend on these two drinks. If a bottle of water costs £1 and a bottle of coconut water costs £2, what is Katerina’s optimal choice? Note that MU\(_W\) = 1 and MU\(_C\) = 3.

(iii) **Tangency Condition Exploration**

Explain under which conditions the tangency condition does not work. Given that the tangency condition does not work, discuss how we can find out the optimal consumption bundle for a consumer.

---

This exercise helps explore utility functions and optimal consumption decisions based on given budget constraints and perceived benefits.
Transcribed Image Text:Sure, here's the transcribed text suitable for an educational website: --- **Understanding Katerina's Hydration Choices** When Katerina goes running, she can either take water (W) or coconut water (C) with her to drink. She believes coconut water is three times more hydrating than plain water. Katerina just cares about the hydrating power of the drink. --- **Questions for Analysis** (i) **Utility Function Representation** Can Katerina’s utility function be represented by U(W, C) = 3C + W? (ii) **Optimal Choice Calculation** Given U(W, C) = 3C + W, Katerina has £28 pounds to spend on these two drinks. If a bottle of water costs £1 and a bottle of coconut water costs £2, what is Katerina’s optimal choice? Note that MU\(_W\) = 1 and MU\(_C\) = 3. (iii) **Tangency Condition Exploration** Explain under which conditions the tangency condition does not work. Given that the tangency condition does not work, discuss how we can find out the optimal consumption bundle for a consumer. --- This exercise helps explore utility functions and optimal consumption decisions based on given budget constraints and perceived benefits.
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