Your company is about to introduce a new vacuum cleaner. You have conducted customer surveys, and you determined the relative preferences for the following warranty/price product configurations (9 being the most preferred):

 

$129

$99

$79

2 Years

7

8

9

1 Year

3

4

6

None

1

2

5

In order to derive an optimal product configuration, you need to know the utility functions for warranty length and price implied by the preferences in the table above.