A marketing researcher is analyzing consumers preferences for smart watches. He designs a conjoint analysis to collect data. The following relationship is found from his analysis:

Utility=5+10*Compatibility+20*ScreenSize+15*BatteryLife+35*Price, where Utility is measured on a 100-point scale (100=most preferred),

Compatibility=1 if compatible with Android and iOS,

=0 if only compatible with iOS

ScreenSize =1 when screen size is 44mm,

=0 when screen size is 40mm

BatteryLife =1 when battery life is 4 days,

=0 when battery life is 2 days

Price =1 when price is $180, =0 when price is $250

1. How many possible product profiles are included in this conjoint analysis?

a. 12

b. 16

c. 18

d. 24