Using this \[ u'(W - x(1-\pi)Z) = \sum_{s=1}^S \pi_s u'(W - L_s + x\pi Z) \], Prove that when \(S > 1\), there can be cases in which \(x^* < 1\) and cases in which \(x^* > 1\). \textbf{Hint:} these cases depend on the value of \(Z\)