Consider the model of intertemporal consumption choices. In period /=1,2, the price of the consumption good is p, and the consumer's income is m; and the interest rate for saving and borrowing is r. Suppose the utility function is additive U(x1, X2) = u(x1) + Bu(x2) where 0 m2. What can you conclude about consumption in period 1 versus period 2? Will the consumer be a saver or a borrower? Explain. d) (2 marks) Suppose that the interest rate on savings remains at r, but that the consumer faces a higher rate ? > 7 for borrowing. Using the appropriate mathematical notation, write down the consumer's budget set. Illustrate the budget line and show the budget set of this consumer