Essay
Suppose that Jana cares only about apples and lettuce. Her utility function is U = A0.5L0.5, where A is the number of apples and L is the number of heads of lettuce that she consumes. The price of apples is $1, and the price of lettuce is $4. Suppose that Jana must have 100 units of utility and wants to achieve this level of utility with the lowest possible expenditure.
a. How can Jana's expenditure minimization problem be expressed as a Lagrangian equation?
b. Derive the first-order conditions for Jana's minimization problem.
c. What is the solution to Jana's minimization problem?
d. How much does this optimal solution cost?
Correct Answer:

Verified
a.
b.
c. Solving the first two equ...View Answer
Unlock this answer now
Get Access to more Verified Answers free of charge
Correct Answer:
Verified
b.
c. Solving the first two equ...
View Answer
Unlock this answer now
Get Access to more Verified Answers free of charge
Q10: Beth has $400 of income to spend
Q11: The utility function for Raj is U
Q12: Nikolai enjoys eating sandwiches that have one
Q13: (Figure: Good Y and Good X V)
Q14: Peter's utility function is U = 5X
Q16: Suppose a consumer spends all income on
Q17: Juanita spends all of her income on
Q18: Bucky has $20 to spend on bowling
Q19: The utility function U = Y/X violates
Q20: Bertha's utility function for soccer balls (S)