3*. Ms Smith likes to drink wine; in particular, a french bordeaux (ƒ) at $40 per bottle and a California varietal wine (c) priced at $8. She allocates $600 to these two each month; and her utility is: U (f, c) = f2/3¹/3 (a) Write out her (constrained) utility maximization problem. Solve for the optimal consumption of wine f and c.
3*. Ms Smith likes to drink wine; in particular, a french bordeaux (ƒ) at $40 per bottle and a California varietal wine (c) priced at $8. She allocates $600 to these two each month; and her utility is: U (f, c) = f2/3¹/3 (a) Write out her (constrained) utility maximization problem. Solve for the optimal consumption of wine f and c.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![3*. Ms Smith likes to drink wine; in particular, a french bordeaux (f) at $40 per bottle
and a California varietal wine (c) priced at $8. She allocates $600 to these two each
month; and her utility is: U(ƒ, c) = ƒ²/³ c¹/³
(a) Write out her (constrained) utility maximization problem. Solve for the optimal
consumption of wine f and c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3585354-64d7-4f4a-b055-4a9b75b3799d%2Fd5ac657d-738b-418e-88fe-7cf629cecdd3%2Fmxqn2i_processed.png&w=3840&q=75)
Transcribed Image Text:3*. Ms Smith likes to drink wine; in particular, a french bordeaux (f) at $40 per bottle
and a California varietal wine (c) priced at $8. She allocates $600 to these two each
month; and her utility is: U(ƒ, c) = ƒ²/³ c¹/³
(a) Write out her (constrained) utility maximization problem. Solve for the optimal
consumption of wine f and c.
Expert Solution
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Step 1: Define utility maximisation
Utility is maximised at the consumption bundle where the slope of the indifference curve is equal to the slope of the budget constraint
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