A consumer has the utility function U(x, y) = 5 ln x + 3 ln y. a) What type of preferences does this consumer have? (2 marks) Cobb Douglas (or a monotonic transformation of Cobb-Douglas). Will accept well behaved. b) Suppose that the price of good x is R10 and the price of good y is R2. The consumer has an income of R96. What is the consumer's optimal bundle? (6 marks) x=6 and y=18 c) Provide the equation for the inverse demand curve for good x and describe its shape. (4 marks) px = 60/x The inverse demand curve is downward sloping and convex to the origin.
