In: Economics
nqi pays 45 dollars per unit of x and 30 dollars per unit of y. Her preferences are u(x, y) = x1/2y1/2. Anqi's income is 1800 dollars. If she joins a price club she can purchase good x for only 20 dollars per unit. What is the maximum fee that Anqi should pay for a membership at this price club?
Price of X is $ 45
Price of Y is $ 30
Utility function is U= √XY
We need to find the optimum in both cases using Lagrange method