code class$=$"asciimath"$>$At observation t$,$ a consumer is observed to buy the bundle x$^($t$)$inR$\_(+)^($l$)$ at prices p$^($t$)$inR$\_(++)^($l$).$ Suppose we make the following three observations of a consumer: p$^(1)=(2,2,2),$x$^(1)=(2,0,2)$;p$^(2)=(1,2,3),$x$^(2)=((1)/(2),3,(1)/(2))$;p$^(3)=(3,2,1),$x$^(3)=(2,0,3).$ Are these observations consistent with the maximization of a concave and strictly increasing utility function? Are these observations consistent with the maximization of a strictly concave and strictly increasing utility function?