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Suppose That Bruce Cares Only About Barbecued Chicken (B) and Fish

Question 109

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Suppose that Bruce cares only about barbecued chicken (B) and fish (F). His utility function is U = B0.4F0.6. The price of barbecued chicken is $5, and the price of fish is $10. Bruce has a budget of $100.
a. What Lagrangian equation can be used to solve Bruce's utility maximization problem?
b. Derive the first-order conditions for the maximization problem.
c. What is the solution to Bruce's maximization problem?

Correct Answer:

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a. The Lagrangian corresponding to this ...

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