Problem 4. (12 points) You sell a software product that you developed and receive three payment options: I Option I is to receive a lump sum payment of $1,000,000 now. 0 Option 11 is to receive a of $1,750,000 ten years from now. 0 Option III is to receive payment at a rate of 5000::2 dollars / year for the next ten years, where t is time from the present in years. Assume you can get 5% interest, compounded continuously. Which option leaves you with the most money after ten years? Be sure to justify your answer, and show all work in your calculations in order to receive full credit. Question 8 (8 points). Starting on December 8, 2021, cash ows continuously into an initially empty bank account at the rate of S(t) = 5152 dollars per year for 10 years. The account earns 3% annual interest compounded continuously. (a) Compute the present value of this cash ow on December 8, 2021, to the nearest $10. (b) What is the future value at the end of the 10 years