Matching Preferences and Utility

Suppose a consumer buys two goods, orange juice and beer. In a survey of buying habits, the consumer is asked to rank the following four consumption bundles:

Bundle	Qty of Juice	Qty of Beer
1	1	1
2	2	1
3	1	2
4	3	1

The consumer reports that bundle 4 is best, 2 is second best, 3 is third best and 1 is the worst. Which of the following utility functions could be used to represent these preferences (where J and B are the consumption of juice and beer)? Explain in detail how you know.

1. U(J,B) = J*B
   
2. U(J,B) = J*J + B