1. Let u(x,y) = x1/3y2/3 and let I = 100, Px = Py = 1. Write the FOC for the consumer's UMP and compute the consumer's demand function.
2. Let U(x,y)=5x+4y and let I denote income and Px,Py the prices of the goods. Compute the demand functions for goodx and y when I=100 and Px=1=Py.