A consumer consumes three goods X,Y,ZX,Y,ZX,Y,Z over three periods. Prices and bundles: Period 1: p1=(2,3,3), x1=(3,1,7),Period 2: p2=(3,2,3), x2=(7,3,1),Period 3: p3=(3,3,2), x3=(1,7,3).\begin{aligned} \text{Period 1: } & p^{1}=(2,3,3),\ x^{1}=(3,1,7),\\ \text{Period 2: } & p^{2}=(3,2,3),\ x^{2}=(7,3,1),\\ \text{Period 3: } & p^{3}=(3,3,2),\ x^{3}=(1,7,3). \end{aligned}Period 1: Period 2: Period 3: p1=(2,3,3), x1=(3,1,7),p2=(3,2,3), x2=(7,3,1),p3=(3,3,2), x3=(1,7,3). Which of the following statements about her preferences is correct?
Preferences are not complete
Preferences are transitive though not necessarily complete
Preferences are incomplete and intransitive
Preferences are complete and transitive
Option C
