Solve Question 1 and all sub-questions with explainations

1] Helena earns $2000 this year and will earn $1500 the next year. The interest rate between each year is 10%. She wants to consume the same quantity each year. She wants to have spent all her money by the end of year 2. Warning: each question does build on each other a] How much would she save? How much would she consume? b} If she wins the lottery during the rst year, raising her earnings to $10000 this year, how much would she saye, how much would she consume? c] If she now wants to consume twice as much in year 1 as she does in year 2, how much would she saye, how much would she consume? d} If she now has no preferences about her consumption, but she wants to save $5000 in year 1 [to buy a new car in year 2}, how much would she consume in year 1 and year2