Consider a two-period consumption saving model and let cy and c2 denote the first and second period consumption, respectively. Assume that the interest rate at which the consumer may lend or borrow is 10%. Suppose that a consumer's utility function is u (C1, C2) = ci + 20 C2. The consumer first period income is 11 = $100 and the present value of her income stream is $330. (a) What is the optimal consumption stream (consumption bundle) of this consumer? (b) Is this consumer borrower or lender? How much does she borrow or lend? (c) What is the effect of a reduction of the interest rate to 5% on the consumer's optimal first-period saving? (Make sure to take into account the effect of the decline in the interest rate on the present value of the consumer's income stream.)