I know there are a lot of parts but any help you can give would be helpful. thank you.

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Chloe has access to a perfect capital market with interest rater E (0, 1). Chloe has preferences over bundles Chloe has an endowment of E = (1600, 2700), i.e. Chloe has income mi = 1600 in period 1 and 2 = 2700 Exercise 2: Intertemporal Choice in period 2. (2,3) R4 of money for consumption in period 1 (a) and money for consumption in period 2 () that can be represented by the following utility function 1. Chloe can use the endowment and transfer money between periods by saving or borrowing money in the capital market with interest rate r. Determine Chloe's budget constraint. 2. Suppose Chloe chooses bundle (c (7),c(7)) at some fixed interest rate F. Given this choice, how would you determine whether Chloe is saving or borrowing money in the first period? If Chloe is indeed saving, how do you compute the amount s(F) that she saves in period 1? 3. At which interest rate f is it optimal for Chloe to exactly consume her endowment? That is, find i such that Chloe's optimal consumption choice is (ci (),cz (f)) = (1600, 2700). 4. Based on your previous answers, determine the interest rates for which Chloe would be a saver (rather than a borrower) without solving for Chloe's demand. 5. Solve for Chloe's optimal bundle (c(r), c (r)) as a function of the interest rate r. 6. For all interest rates such that Chloe becomes a saver, determine the amount Chloe saves, s(r), as a function of the interest rate, r. Chloe has access to a perfect capital market with interest rater E (0, 1). Chloe has preferences over bundles Chloe has an endowment of E = (1600, 2700), i.e. Chloe has income mi = 1600 in period 1 and 2 = 2700 Exercise 2: Intertemporal Choice in period 2. (2,3) R4 of money for consumption in period 1 (a) and money for consumption in period 2 () that can be represented by the following utility function 1. Chloe can use the endowment and transfer money between periods by saving or borrowing money in the capital market with interest rate r. Determine Chloe's budget constraint. 2. Suppose Chloe chooses bundle (c (7),c(7)) at some fixed interest rate F. Given this choice, how would you determine whether Chloe is saving or borrowing money in the first period? If Chloe is indeed saving, how do you compute the amount s(F) that she saves in period 1? 3. At which interest rate f is it optimal for Chloe to exactly consume her endowment? That is, find i such that Chloe's optimal consumption choice is (ci (),cz (f)) = (1600, 2700). 4. Based on your previous answers, determine the interest rates for which Chloe would be a saver (rather than a borrower) without solving for Chloe's demand. 5. Solve for Chloe's optimal bundle (c(r), c (r)) as a function of the interest rate r. 6. For all interest rates such that Chloe becomes a saver, determine the amount Chloe saves, s(r), as a function of the interest rate, r