Consider a consumer whose utility function is: Suppose that p2 = 1, m = 1, and p₁ is unknown. There is rationing such that ** Part a. (5 marks) Find the minimal p₁, denoted by pi, such that the if Pi > Pi. then the consumer consumes x₁ strictly less than 0.5. ** Part b. (10 marks) Now suppose p2 increases. mathematically show that whether the threshold on you found in Part a increases/decreases/stays the same. U(x1, x2) = log(x₁) + log(x2) X1 ≤0.5