Suppose that a consumer's utility function is 2√x₁ + x₂ (quasi-linear). The price of good 1 is p₁. The price of good 2, P2, is normalized to 1. The income is m = 1. ** Part a (5 marks) Solve the demand function for x ₁. ** Part b (5 marks) Find the inverse demand curve (p₁ in terms of x₁).
** Part c (5 marks) Using integration, find the consumer surplus of this consumer given p₁ = 1. Hint: for any real numbers a, n, a xn+1 [ * x³dx = x + 16 = 18 an+1 n+1 0 n+1 (In this course we do not consider the special case where n = : -1.)