U(x1,x2)=4x12+x22U(x_1,x_2) = 4 x_1^2 + x_2^2U(x1,x2)=4x12+x22. Solve maxU\max UmaxU subject to p1x1+p2x2=wp_1 x_1 + p_2 x_2 = wp1x1+p2x2=w. Let X(p1,p2,w)X(p_1, p_2, w)X(p1,p2,w) be the solution set. Which is true?
X(2,1,10)X(2,1,10)X(2,1,10) not convex.
X(6,3,30)X(6,3,30)X(6,3,30) convex.
X(1,1,10)X(1,1,10)X(1,1,10) not convex.
X(4,2,20)X(4,2,20)X(4,2,20) convex.
