Consider an individual living only for two periods, periods 0 and 1. He gains utility from the consumption of periods 0 and 1, and the utility function is given by: He earns $5,000 at period 0 and $2,000 at period 1. Assume that the interest rate is 25%. Construct a utility maximization problem with the given information to find his consumption at periods 0 and 1 and savings at period 0