Juliette and Andrew regularly go to the movies, where they like to consume popcorn and slushies. At the movies, Juliette’s utility function is given by UJ=√P×S, where P is the number of cups of popcorn, and S is the number of slushies she consumes. Andrew’s utility function is given by UA=P+S.
a. Compute the utility Juliette and Andrew receive from the following combinations of popcorn and slushies:
| Units of Popcorn | Units of Slushies | Juliette's Utility | Andrew's Utility |
|---|---|---|---|
| 1 | 1 |
1 |
2 |
| 2 | 2 |
2 |
4 |
| 3 | 3 |
3 |
6 |
b. Suppose that Juliette and Andrew are each consuming 2 popcorns and 2 slushies. Who gets the most happiness from her or his movie snacks?
Juliette
It's not possible to say.
Both get equal happiness.
Andrew
c. Suppose that Juliette has consumed 2 popcorns and 3 slushies. What is the approximate marginal utility Juliette will receive if she eats another cup of popcorn?
0.49
0.45
0.61
0.55
What is the approximate marginal utility she will receive if, instead, she drinks another slushie?
0.45
0.38
0.61
0.55
d. When Andrew is consuming 1 popcorn and 1 slushie, another popcorn will increase his utility by 1 unit. When Andrew is consuming 8 popcorns and 1 slushie, another popcorn will again increase his utility by 1 unit.
Which assumption of consumer preferences might Andrew’s particular utility function violate?
Transitivity
For most goods, more is better than less
Completeness and rankability
The more a consumer has of a good, the less one is willing to give up of something else to get more of it
Juliette’s utility function appears to violate the same assumption.
False
True
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