For the utility functions:
A: U(x1, x2) x11/2 x2
B: U(x1, x2) min{ ½ x1, x2 }
C: U(x1, x2) ½ x1 + x2
1. Derive the consumers optimal consumption at the budget B(p1,p2,m) = (1,1,100).
2. Derive the consumer’s optimal consumption at the budget B(p1,p2,m) = (1,2,100).
(10 marks)