2. [14 Marks] Consider a two-period model of intertemporal choice. In cach period i = 1, 2, the consumer has income m, > 0 and makes a consumption choice r; 2 0. The price of the consumption good is 1 dollar in both periods. The consumer can save her period 1 income or borrow against her period 2 income at interest rate r > 0. The consumer's utility from consumption path (21, T2) is 142 , where 0