In: Economics
Suppose that Tom considers 12.3 units of good x to be a perfect complement for 17.86 units of good y. Write down a utility function that represents Tom’s preferences. What is the slope of the Tom’s income expansion path?
U(x, y) = min{17.86x, 12.3y}
For such functions, 17.86x = 12.3y (As they are always consumed
together.)
So, y = (17.86/12.3)x
Slope of income expansion path = dy/dx = 17.86/12.3 = 1.45