Q1) Sam has a utility fcn: U(x_{1},x_{2}) = 3x_{1}^{2} + x_{2}^{3}
further suppose P_{x1} = 1 and P_{x2} = 1. Also Income = 4
Sam has to consume at least one unit of both goods to survive, and he can only consume whole amounts of each good, meaning he can't consume fractions of either good. Using survival constraint coupled with his budget constraint tell me what bundle (amounts of x_{1 }and x_{2}) maximizes his utility.