1. The price of good x is p, and the price of good y is 3. The consumer has an income of 5. (a) Write down the budget constraint equation and draw it. (b) Suppose the consumer has a utility function: u(x, y) = x+ ln y. Find the inverse demand function of x and draw it. (c) Suppose the income increases from 5 to 8, find the new inverse demand function of x and draw it