Suppose a consumer's utility function is given by U(X,Y) = X*Y. Also, the

consumer has $200 to spend, and the price of X, PX = 5, and the price of Y, PY = 2.

a) (4 points) How much X and Y should the consumer purchase in order to maximize her utility?

b) (4 points) How much total utility does the consumer receive?

c) (4 points) Now suppose PX decreases to 1.25. What is the new bundle of X and Y that the

consumer will demand?

d) (6 points) How much money would the consumer need in order to have the same utility level

after the price change as before the price change?

e) (6 points) Of the total change in the quantity demanded of X, how much is due to the

substitution effect and how much is due to the income effect?