I have an utility function given,
$\ u_j(q_{j1},q_{j2} )=q^{3/4}_{1j}*q^{1/4}_{2j} $
$\ s.t.: y=p_1*q_{1i} +p_2*q_{2i}$
I do know that the for $\ q_{1j}$ the marginal prospensity to consume is 3/4 of y given prices $\ p_1$. But I dont acutally get how my teacher calculated the aggregated demand: $\ q^*_j(p_1,p_2)=(\frac{1/4y}{p}, \frac{3/4y}{p}) $.
I set up the Lagrangean but then end up with $\ p_1=\frac{1}{3}\frac{q_2}{q_1}*p_2$, which does not seem too helpful for me.
Can someone give me a hint how to derive aggregate demand from a given utility function, please.
Thanks