For Christmas, Josh and Cybil, who are brother and sister, each recently received 25
iTunes music downloads and 10 movie passes. Josh’s marginal rate of substitution of
music downloads for movie passes is 1/4, while Cybil’s marginal rate of substitution of
music downloads for movie passes is 2. Which of the following trades would be a
Pareto improvement over the original allocation?
A) Josh gives Cybil 1 music download for 3 of her movie passes.
B) Josh gives Cybil 3 music downloads for 1 of her movie passes.
C) Josh gives Cybil 8 music downloads for 1 of her movie passes.
D) Josh gives Cybil 1 music download for 4 of her movie passes.
Bob’s utility function for black (B) and white (W) socks is U = 10B + 10W, where MUB
= 10 and MUW = 10. Suppose that Bob has $40 of income to spend on socks. With the
price of white socks held constant at $10, graph Bob’s demand curve for black socks at
a price of $2, $4, $5, $8, $10, and $20.